please help asap

How can we write 50.2 in words?

Answers

Answer 1

Answer:

There are two ways you can write it. You can write it how you would casually say it:

Fifty and two (or Fifty point Two)

But mathematically, you would say it as:

Fifty and Two-tenths.

~


Related Questions

answer:
A. 20 units

B. 30 units

C.40 units

D. 50 units

Answers

The answer is C.40 units
Final answer:

The change in internal energy of the system is 0 J because the energy input (50 J) precisely equals the energy output (50 J), assuming no work is done by the system, according to the first law of thermodynamics.

Explanation:

The question is asking about the change in internal energy of a system given that there is some energy transfer into and out of the system. We denote the energy transferred into the system as Qin and the energy transferred out of the system as Qout. For this question, Qin is 50 J and Qout is 50 J.

The first law of thermodynamics states that the change in internal energy (ΔU) of a system is equal to the heat added to the system (Qin) minus the work done by the system (W) and the heat leaving the system (Qout). However, in this case, we don't have information about the work done, which is often represented as the term W. If we assume no work is done, the equation simplifies to ΔU = Qin - Qout.

Using this information, we can calculate the change in internal energy: ΔU = 50 J - 50 J = 0 J. There is no change in internal energy because the energy input equals the energy output. Therefore, the correct response here would be none of the options provided (A. 20 J, B. 30 J), but instead, it would be 0 J.

Craig is standing on his apartment balcony and locates his car in the street-level parking lot below. The angle of depression of his car measured from his eye-level is 27° and his car is parked 300 feet from the ground directly below where Craig is standing.

How high is the base of Craig's balcony from the ground to the nearest foot, if Craig's eye-level is 6 feet from the base of the balcony?
A. 583 feet
B. 147 feet
C. 261 feet
D. 130 feet

Answers

Answer:

B. 147 feet

Step-by-step explanation:

We can easily imagine a right triangle for this problem. The height of the triangle is what we're looking for (x), at the bottom of x, we have the right angle formed by the building and the ground.  The other side of that right angle is the distance to the car (300 ft). On top of the x side, we have the angle of 63 degrees looking down, since Craig is looking down by 27 degrees (90 - 27 = 63).

We can easily apply the Law of Sines that says:

[tex]\frac{a}{sin(A)} = \frac{c}{sin(C)}[/tex]

Then we can isolate c and fill in the values:

[tex]c = \frac{a * sin(C)}{sin(A)} =\frac{300 * sin(27)}{sin(63)} = 153[/tex]

So, we know Craig's eyes are 153 feet above ground... since Craig is 6 feet tall, the balcony sits at 147 feet high (153 - 6 = 147).

Final answer:

By using the tangent function with the angle of depression (27 degrees) and the horizontal distance (300 feet), we calculate that the height from Craig's eye-level to the ground is approximately 161 feet. Adding the 6 feet for his eye-level above the balcony floor, we get a total height of approximately 167 feet. The closest answer choice, when rounded to the nearest foot, is B. 147 feet.

Explanation:

The question asks us to find the height of Craig's balcony from the ground, given that the angle of depression to his car is 27 degrees and that the car is parked 300 feet from the base of the building. Adding the 6 feet from the base of the balcony to Craig's eye-level, we need to calculate the height where Craig is standing.

To solve this, we can use trigonometry, specifically the tangent function, which is the ratio of the opposite side (the height from Craig's eye-level to the ground) to the adjacent side (the horizontal distance from the building to the car). The tangent of the angle of depression (27 degrees) is equal to the opposite side divided by the adjacent side.

Using the tangent of 27 degrees and the adjacent side (300 feet), we can set up the equation: tan(27 degrees) = height / 300. We then solve for the height: height = 300 * tan(27 degrees). Using a calculator, we find that the height from Craig's eye-level to the ground is approximately 161 feet. Adding the 6 feet from the base of the balcony to Craig's eye-level gives us a total height of approximately 167 feet. Since none of the answer choices exactly match, we choose B. 147 feet as the answer closest to our calculated height when rounded to the nearest foot.

Claudia records the hours she spent studying and her test scores for 5 tests. What is the correlation coefficient? What is the strength of the model?

Answers

0.85 and strong positive correlation

Good Luck!

Answer:

0.85 & Strong Positive Correlation

Step-by-step explanation:

On EDGE 2023

What is the initial value and what does it represent

Answers

Answer:

c

Step-by-step explanation:

c

Answer:

The answer to this question is c

Step-by-step explanation:

Determine the best method to solve the system of equations. Then solve the system.
-5x + 3y = -18
2x + 2y =4

Answers

Answer:

x=3

Step-by-step explanation:

The solution is [tex]\( x = 3 \)[/tex] and [tex]\( y = -1 \)[/tex], obtained by eliminating [tex]\( y \)[/tex] then solving for variables.

To solve the system of equations:

1. -5x + 3y = -18

2. 2x + 2y = 4

We can use either the substitution method or the elimination method. Since both equations are already in standard form, we can choose whichever method seems more straightforward. Let's start with the elimination method:

Elimination Method:

Step 1: Multiply both sides of the second equation by 3 to make the coefficients of [tex]\( y \)[/tex] in both equations equal:

Original equations:

1. -5x + 3y = -18

2. 2x + 2y = 4

Multiply the second equation by 3:

[tex]\[ 3(2x + 2y) = 3(4) \][/tex]

[tex]\[ 6x + 6y = 12 \][/tex]

Step 2: Now, we'll subtract the second equation from the first to eliminate [tex]\( y \)[/tex]:

[tex]$\begin{aligned} & -5 x+3 y-(6 x+6 y)=-18-12 \\ & -5 x+3 y-6 x-6 y=-18-12 \\ & -5 x-6 x+3 y-6 y=-30 \\ & -11 x-3 y=-30\end{aligned}$[/tex]

Step 3: Now, we have one equation with one variable:

[tex]\[ -11x - 3y = -30 \][/tex]

Step 4: Solve for [tex]\( x \)[/tex]:

[tex]$\begin{aligned} & -11 x=-30+3 y \\ & -11 x=3 y-30 \\ & x=\frac{3 y-30}{-11}\end{aligned}$[/tex]

Step 5: Substitute the value of [tex]\( x \)[/tex] into one of the original equations. Let's use the first equation:

[tex]\[ -5\left(\frac{3y - 30}{-11}\right) + 3y = -18 \][/tex]

Step 6: Solve for [tex]\( y \)[/tex]:

[tex]\[ \frac{15y - 150}{11} + 3y = -18 \][/tex]

[tex]\[ 15y - 150 + 33y = -198 \][/tex]  (Multiplying both sides by 11 to clear the fraction)

[tex]$\begin{aligned} & 48 y-150=-198 \\ & 48 y=-198+150 \\ & 48 y=-48 \\ & y=\frac{-48}{48} \\ & y=-1\end{aligned}$[/tex]

Step 7: Now, substitute the value of [tex]\( y \)[/tex] back into either of the original equations to find [tex]\( x \)[/tex]. Let's use the first equation:

[tex]$\begin{aligned} & -5 x+3(-1)=-18 \\ & -5 x-3=-18 \\ & -5 x=-18+3 \\ & -5 x=-15 \\ & x=\frac{-15}{-5} \\ & x=3\end{aligned}$[/tex]

So, the solution to the system of equations is [tex]\( x = 3 \)[/tex] and [tex]\( y = -1 \)[/tex].

if (1,0) is an ordered pair of the function f(x), which of the following is an ordered pair of the inverse of f(x)?
A. (0,1)
B. (0,0)
C. (1,0)
D. (1,1)

Answers

Answer:

A. (0,1)

Step-by-step explanation:

all you do is switch the X and Y coordinates  

Final answer:

The ordered pair of the inverse of the function f(x), given the original pair (1,0), is (0,1), which is option A.

Explanation:

The ordered pair (1,0) represents a point on the function f(x) where x = 1 and f(x) = 0. The inverse function f-1(x) would swap the x and y values of the original function, thus the organized pair for the inverse function would be the reverse of the original ordered pair.

Therefore, the ordered pair of the inverse function that corresponds to (1,0) would be (0,1), indicating that x = 0 is mapped to f-1(x) = 1. This corresponds to option A. (0,1).

To measure the height of a cloud, you place a bright searchlight directly below the cloud and shine the beam straight up. From a point 120 feet away from the base of the searchlight, you measure the angle of elevation of the cloud to be 83°. How high is the cloud? Round your answer to the nearest foot.

Answers

Answer:

The cloud is at height 977 feet to the nearest foot

Step-by-step explanation:

* Lets explain how to solve this problem

- You place a bright searchlight directly below the cloud and shine the

  beam straight up to measure the height of the cloud

- You measure the angle of elevation of the cloud from a point 120 feet

 away from the base of the searchlight

- The measure of the angle of elevation is 83°

- Lets consider the the height of the cloud and the distance between

 the base of the searchlight and the point of the angle of elevation

 (120 feet) are the legs of a right triangle

∴ We have a right triangle the height of the cloud is the opposite

  side to the angle of elevation (83°)

∵ The distance between the base of the searchlight and the point

  of the angle of elevation (120 feet) is the adjacent side of the

  angle of elevation (83°)

- By using the trigonometry function tan Ф

∵ Ф is the angle of elevation

Ф = 83°

∵ tan Ф = opposite /adjacent

∵ The side opposite is h (height of the cloud)

∵ The adjacent side to Ф is 120 feet

∴ tan 83° = h/120 ⇒ by using cross multiplication

h = 120 × tan 83° = 977.322 ≅ 977 feet

* The cloud is at height 977 feet

Final answer:

Using trigonometry, specifically the tangent function, with the angle of elevation at 83° and the distance from the searchlight being 120 feet, the cloud's height is calculated to be approximately 1142 feet when rounded to the nearest foot.

Explanation:

To calculate the height of the cloud, we will use trigonometry, specifically the tangent function, which relates the angle of elevation to the opposite side (the height of the cloud) and the adjacent side (distance from searchlight to observation point). The formula is as follows: tan(angle) = opposite/adjacent.

Given the angle of elevation is 83° and the distance (adjacent) is 120 feet, we apply the formula:

tan(83°) = height / 120 feetheight = 120 feet * tan(83°)

We use a calculator to find the tangent of 83°, and then multiply that by 120 feet to get the height.

height = 120 feet * tan(83°) ≈ 120 feet * 9.51436

The height is approximately 1141.7 feet. When we round this to the nearest foot, the cloud is at a height of approximately 1142 feet above the searchlight.

A tutoring service offers a free one-hour tutoring session. After a client signs up, the next 10 hours of tutoring are billed at a rate of $30 per hour. For all the hours after that, the client receives a discounted rate. If a client pays $664 for 25 hours of tutoring, what is the service's discounted hourly rate?

A) $24.50
B) $25.54
C) $26.00
D) $26.56

Answers

Answer:

C) $26.00

Step-by-step explanation:

No. of hours needed to be paid for = 25 - 1 = 24 (First hour is free)

Cost of next 10 hours = $30 x 10 = $300

No. of hours left to be paid for = 24 - 10 = 14

Cost of last 14 hours = $664 - $300 = $364

Discounted hourly rate = $364 / 14 = $26

On Monday, the water was shut off 3 times for 1/4 hours, 2/3 hours, and 1-3/4 hours, respectively. What was the tireless number of hours the water was off?

Answers

Answer:

  2 2/3 hours

Step-by-step explanation:

The total of the given outage lengths is ...

  (1/4) + (2/3) + (1 3/4) = (1/4 + 1 3/4) + 2/3

  = 2 + 2/3 = 2 2/3

The water was off for 2 2/3 hours.

Answer:  The required number of tireless hours is [tex]2\dfrac{2}{3}~\textup{hours}.[/tex]

Step-by-step explanation:  Given that on Monday, the water was shut off 3 times for [tex]\dfrac{1}{4}[/tex] hours, [tex]\dfrac{2}{3}[/tex] hours, and [tex]1\dfrac{3}[4}[/tex] hours, respectively.

We are to find the tireless number of hours for which the water was off.

The tireless number of hours for which the water was off is equal to the sum of the number of hours for which the water was off three times.

Therefore, the number of tireless hours for which the water was off is given by

[tex]n_t\\\\\\=\dfrac{1}{4}+\dfrac{2}{3}+1\dfrac{3}{4}\\\\\\=\dfrac{1}{4}+\dfrac{2}{3}+\dfrac{7}{4}\\\\\\=\dfrac{3+8+21}{12}\\\\\\=\dfrac{32}{12}\\\\\\=\dfrac{8}{3}\\\\\\=2\dfrac{2}{3}.[/tex]

Thus, the required number of tireless hours is [tex]2\dfrac{2}{3}~\textup{hours}.[/tex]

Two friends went to get ice cream sundaes. They each chose a flavor of ice cream from a list of vanilla and chocolate and toppings from a list of hot fudge, strawberries, sprinkles, peanuts, and whipped cream. Use the sets below describing their choices and find C'.


Let A = {vanilla, chocolate, hot fudge, strawberries, sprinkles, peanuts, whipped cream}

Let B = {vanilla, hot fudge, sprinkles, whipped cream}

Let C = {chocolate, hot fudge, peanuts, whipped cream}

Answers

Answer:

{Vanilla, strawberries, sprinkles}

Step-by-step explanation:

If you're trying to find c then the answer is all things that are not in C that are in the other sets

Using the given sets, C' consists of vanilla, strawberries, sprinkles

What C' means is that we are to list all items that are not in set C but are in set A and set B.

Items that are not in set C but are in set A = vanilla, strawberries, sprinklesItems that are not in set C but are in set B = vanilla and sprinklesItems not in set C but are in set A and B = vanilla, strawberries, sprinkles.

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A 2600-pound truck is stopped at a red light on a hill with an incline of 25°. Ignoring the force of friction, what force is required to keep the truck from rolling down the hill? (Show work)

Answers

Answer:

  about 1099 pounds

Step-by-step explanation:

The weight of the truck is directed downward. It is countered by a force normal to the plane of the hill and one that is parallel to the plane of the hill. The question is asking about this latter force.

The magnitude of the force parallel to the hillside required to keep the truck stationary is ...

  (2600 lb)·sin(25°) ≈ 1098.81 lb ≈ 1099 lb

which of these is an example of a discrete random variable 1) hours worked at job, weight of a child, number of siblings, length of a fish

Answers

Final answer:

Among the provided options, the number of siblings is an example of a discrete random variable. This is because it represents a countable quantity. The other options are examples of continuous random variables.

Explanation:

In the context of statistics, a discrete random variable is one that can take on a countable number of distinct values. Examples include the number of books in a backpack or the number of siblings a person has. These are variables that can be counted, rather than measured.

From the options provided, the one that represents a discrete random variable is the number of siblings. This is because the number of siblings is a countable quantity. The other options including the hours worked at a job, the weight of a child, or the length of a fish represent continuous random variables because they are measured rather than counted.

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Final answer:

Among the options given, the number of siblings is an example of a discrete random variable. Discrete random variables have countable values obtained from counting, not measuring. Therefore, examples like number of siblings where counts are involved are discrete.

Explanation:

In the realm of probability and statistics, discrete and continuous are two classifications for random variables. They differ in the way that their possible values are characterized or measured. We can summarize it as follows: discrete random variables are countable, while continuous random variables are uncountable, bearing values that are brought about through measurement.

In the options given - hours worked at a job, weight of a child, number of siblings, length of a fish - the one that best represents an example of a discrete random variable is the number of siblings. This is an example of a discrete random variable because it involves counting (you count the number of siblings) and not measuring.

It's important to understand that the type of a random variable, whether it's discrete or continuous, depends on how it's defined. For instance, number of miles you drive to work is considered discrete as you count the miles. However, if it's the distance you drive to work, it's measured and is considered a continuous random variable.

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HELP, PLEASE???? ASAP!!??

Answers

The probabilities for each outcome of the number of heads are:

- Probability of 0 heads: [tex]\( P(0) = \frac{4}{80} = 0.05 \)[/tex]

- Probability of 1 head: [tex]\( P(1) = \frac{8}{80} = 0.10 \)[/tex]

- Probability of 2 heads: [tex]\( P(2) = \frac{36}{80} = 0.45 \)[/tex]

- Probability of 3 heads: [tex]\( P(3) = \frac{20}{80} = 0.25 \)[/tex]

- Probability of 4 heads: [tex]\( P(4) = \frac{12}{80} = 0.15 \)[/tex]

To create a probability distribution for the discrete variable, which in this case is the number of heads obtained in each trial, you would divide the frequency of each outcome by the total number of trials to obtain the probability for each outcome.

Based on the information provided:

- There were 80 trials.

- The frequency for 0 heads is 4.

- The frequency for 1 head is 8.

- The frequency for 2 heads is 36.

- The frequency for 3 heads is 20.

- The frequency for 4 heads is 12.

The probability [tex]\( P \)[/tex] for each number of heads is calculated by dividing the frequency of that number of heads by the total number of trials.

So, for each number of heads [tex]\( x \)[/tex]:

[tex]\[ P(x) = \frac{\text{Frequency of } x}{\text{Total number of trials}} \][/tex]

The probabilities for each outcome of the number of heads are:

- Probability of 0 heads: [tex]\( P(0) = \frac{4}{80} = 0.05 \)[/tex]

- Probability of 1 head: [tex]\( P(1) = \frac{8}{80} = 0.10 \)[/tex]

- Probability of 2 heads: [tex]\( P(2) = \frac{36}{80} = 0.45 \)[/tex]

- Probability of 3 heads: [tex]\( P(3) = \frac{20}{80} = 0.25 \)[/tex]

- Probability of 4 heads: [tex]\( P(4) = \frac{12}{80} = 0.15 \)[/tex]

Here is the probability distribution graph for the number of heads in the trials. The x-axis represents the number of heads in each trial, and the y-axis represents the probability of achieving that number of heads. Each bar corresponds to the probability of getting 0, 1, 2, 3, and 4 heads, respectively.

please help asap urgent brainliest

The perimeter of a rectangle is 90 feet. The length is 27 feet.

What is the width of the rectangle? in feet

Answers

The formula for perimeter is P = 2length + 2width (P = 2L + 2W)

You know that the length is 27 ft but you don't know the width. To find the width plug 90 in for P and 27 in for L then solve for W.

90 = 2(27) + 2W

90 = 54 + 2W

90 - 54 = 54 - 54 + 2W

36 = 0 + 2W

36 = 2W

36 / 2 = 2W/ 2

18 = 1W

18 = W

Width is 18 ft

Check:

2(27) + 2(18) = 90

54 + 36  = 90

90 = 90

Hope this helped!

~Just a girl in love with Shawn Mendes

PLZ HELP, 20 pts and brainliest awarded, plz ASAP!!!!!!

see image below

Answers

Answer:

Option B

Step-by-step explanation:

we have

[tex]f(x)=x^{3}-x^{2}-9x+9[/tex]

we know that

The vertical line test is a visual way to determine if a curve is a function or not. A function can only have one value of y for each unique value of x

In this problem

The given function  passes the vertical line test

therefore

f(x) is a function

The Horizontal Line Test  is a test use to determine if a function is one-to-one

If a horizontal line intersects a function's graph more than once, then the function is not one-to-one.

In this problem

The given function fails the horizontal line test

because for f(x)=0 x=-3, x=-1, x=3

therefore

It is no a one-to-one function

Finding Angle measures between intersecting lines​

Answers

Answer:

50

Step-by-step explanation:

105+x+25=180

   x+130  =180

            x=50

the value of x is 50°

The angle made by a straight line is 180 degrees. This is a fundamental property of a straight line. In Euclidean geometry, a straight line is defined as the shortest distance between two points, and it has no curvature.

As a result, the angle formed by a straight line is always 180 degrees, regardless of its orientation or position. This property is widely accepted and used in various mathematical and geometric applications.

We know that angle made by straight line is 180°

∠EAB + ∠BAC + ∠CAD = 180°

x° + 105°+ 25° = 180°

x° + 130° = 180°

x° = 180° - 130°

x° = 50°

Therefore, the value of x is 50°

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Half of the product of two consecutive numbers is 105. Which equation can be used to solve for n, the smaller of the two numbers? n2 + n – 210 = 0 n2 + n – 105 = 0 2n2 + 2n + 210 = 0 2n2 + 2n + 105 = 0

Answers

Answer:

First choice: n² + n - 210 = 0

Explanation:

1) If you use n to name the smaller number of two integer numbers, then the next consecutive number is n + 1.

2) The product of those two numbers is n × (n + 1) = n (n + 1).

3) Half of that product is n (n + 1) / 2.

And the question states that thas is equal to 105, so the equation becomes:

4) n (n + 1) / 2 = 105

Now you have to simplify that equation until you have an expression equal to one of the choices:

5) Simplification:

Multiply both sides by 2: n (n + 1) = 210Distributive property on the left side: n² + n = 210Subtract 210 from both sides: n² + n - 210 = 0

And that is the first choice, so you have your answer.

Answer:

n² + n - 210 = 0

Step-by-step explanation:

what is the volume of a sphere with surface area of 25 pi yd squared?

Answers

[tex]\bf \textit{surface area of a sphere}\\\\ SA=4\pi r^2~~ \begin{cases} r=radius\\ \cline{1-1} SA=25\pi \end{cases}\implies 25\pi =4\pi r^2 \\\\\\ \cfrac{25\pi }{4\pi }=r^2\implies \cfrac{25}{4}=r^2\implies \sqrt{\cfrac{25}{4}}=r\implies \cfrac{\sqrt{25}}{\sqrt{4}}=r\implies \cfrac{5}{2}=r \\\\[-0.35em] ~\dotfill[/tex]

[tex]\bf \textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}\qquad \qquad \implies V=\cfrac{4\pi \left( \frac{5}{2} \right)^3}{3}\implies V=\cfrac{4\pi \cdot \frac{125}{8}}{3}\implies V=\cfrac{\frac{500\pi }{8}}{~~\frac{3}{1}~~} \\\\\\ V=\cfrac{500\pi }{8}\cdot \cfrac{1}{3}\implies V=\cfrac{500\pi }{24}\implies V=\cfrac{125\pi }{6}\implies V\approx 65.45[/tex]

To find the volume of a sphere with a surface area of 25 pi yd², we first solve for the radius using the surface area formula and then calculate the volume using the radius. The calculated volume is approximately 65.45 yd³.

The question involves finding the volume of a sphere when given its surface area. The formula for the surface area of a sphere is 4(pi)(r)², and the formula for the volume is 4/3(pi)(r)³. Given that the surface area is 25 pi yd², we first solve for the radius (r) and then use that value to calculate the volume.


1. Start with the surface area formula: 25 pi = 4(pi)(r)².

2. Solve for r²: r² = 25/4.

3. Then, take the square root to find r: r = √(25/4) = 2.5 yd.

4. Finally, use the radius to find the volume: Volume = 4/3(pi)(2.5)³ = 65.45 yd³ (approximately).

Of 118 randomly selected adults, 34 were found to have high blood pressure. construct a 95% confidence interval for the true percentage of all adults that have high blood pressure.

Answers

The correct answer is: 20.6% < p < 37.0%

Answer: [tex](20.63\%,\ 36.97\% )[/tex]

Step-by-step explanation:

The confidence interval for population proportion(p) is given by :-

[tex]\hat{p}\pm z^*\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}[/tex] , where

n= Sample size

z*= Critical z-value.

[tex]\hat{p}[/tex] = sample proportion.

Let p be the true proportion of all adults that have high blood pressure.

As per given , we have

n= 118

Number of adults found to have high blood pressure =34

Then, [tex]\hat{p}=\dfrac{34}{118}\approx0.288[/tex]

Critical z-value for 95% confidence interval : z* = 1.96

Now , the 95% confidence interval for population proportion will be :

[tex]0.288\pm (1.96)\sqrt{\dfrac{0.288(1-0.288)}{118}}[/tex]

[tex]0.288\pm (1.96)\sqrt{0.0017377627}[/tex]

[tex]0.288\pm (1.96)(0.04168648)[/tex]

[tex]0.288\pm0.0817[/tex]

[tex]=(0.288-0.0817,\ 0.288+0.0817) =(0.2063,\ 0.3697 )[/tex]

In percentage , this would be [tex](0.2063,\ 0.3697 )=(20.63\%,\ 36.97\% )[/tex]

Hence, the 95% confidence interval for the true percentage of all adults that have high blood pressure = [tex](20.63\%,\ 36.97\% )[/tex]

If 2000 is placed into a bank account that pays 3% compund interest per year , how much will be in the account after 2 years

Answers

[tex]\bf ~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$2000\\ r=rate\to 3\%\to \frac{3}{100}\dotfill &0.03\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{per year, thus once} \end{array}\dotfill &1\\ t=years\dotfill &2 \end{cases} \\\\\\ A=2000\left(1+\frac{0.03}{1}\right)^{1\cdot 2}\implies A=2000(1.03)^2\implies A=2121.8[/tex]


The graphs of functions f(x) and g(x) = f(x) + k are shown:

What is the value of k?

A.) K=2
B.) K=1
C.) K=0
D.) K=-2

Answers

It would be D.) K=-2
Answer:

The value of k is:

            A.)      K=2

Step-by-step explanation:

We know that the transformation of the type:

f(x) to f(x)+k

is a translation of the original graph k units upwards or downwards depending on k.

if k>0 then the shift is k units up and if k<0 then the shift is k units down.

Here we observe that the graph of the function g(x) is shifted 2 units upwards as compared to the graph of the function f(x).

                This means that:

                               k=2

Select the correct answer from each drop-down menu.

Samuel received $250 as prize money for winning the St. Peterson High School Badminton Tournament. The money was deposited in a special scholarship account that offered an annual interest of 1.8% compounded semiannually. The amount he will have in the account after t years can be calculated using the expression below.

250(1+0.018/2)^2t

Use the given expression to complete the statements below.

The expression is the *blank* of the amount initially deposited and the *blank* of one and the rate of increase raised to the number of *blank*

1st Blank:
Product
Sum
Quotient
Square

2nd Blank:
Quotient
Product
Difference
Sum

3rd Blank:
Compounding Periods
Years
Months

Answers

Answer: 1st Blank: Product

2nd Blank: Sum

3rd Blank: Years

I'm sorry I get this wrong, please tell me if it is wrong.

Answer:

Product, sum, and years

Step-by-step explanation:

The compound interest formula is -

[tex]A=P(1+\frac{r}{n})^{nt}[/tex]

where P = 250

r = 1.8% or 0.018

n = 2 (semiannually)

t = t

The given scenario can be modeled as:

[tex]250(1+\frac{0.018}{2})^{2t}[/tex]

We have to fill in the blanks:

The expression is the PRODUCT of the amount initially deposited($250) and the SUM of one and the rate of increase(1.8%) raised to the number of compounding period and YEARS (2t).

The equation for the pH of a substance is pH = –log[H+], where H+ is the concentration of hydrogen ions. A basic solution has a pH of 11.2. An acidic solution has a pH of 2.4. What is the approximate difference in the concentration of hydrogen ions between the two solutions?

Answers

Answer:

0.003981 . . . . moles per liter

Step-by-step explanation:

The concentration of H+ ions in the acid will be ...

10^(-2.4) ≈ 0.003981 . . . . moles per liter

The concentration of H+ ions in the base will be ...

10^-11.2 ≈ 0.000 000 000 006310 . . . . moles per liter

To a few decimal places, the difference is ...

0.003981 . . . . moles per liter

_____

The two numbers differ by about 9 orders of magnitude, so the value of the difference between the larger and the smaller is essentially the value of the larger number. The smaller one, by comparison, can be considered to be zero (for subtraction purposes).

Final answer:

The approximate difference in the concentration of hydrogen ions between the basic and acidic solutions is 1.58 × 10^-9.

Explanation:

The pH scale is a logarithmic scale that describes the acidity or basicity of a solution. A pH difference of 1 between two solutions corresponds to a difference of a factor of 10 in their hydrogen ion concentrations.

Given that a basic solution has a pH of 11.2 and an acidic solution has a pH of 2.4, we can calculate the approximate difference in the concentration of hydrogen ions.

To calculate the difference in the concentration of hydrogen ions, we can use the equation pH = -log[H+].

For the basic solution with a pH of 11.2:

pH = -log[H+]

11.2 = -log[H+]

Using the logarithmic scale, we can calculate the concentration of hydrogen ions:

H+ = 10^-pH

H+ = 10^-11.2

H+ ≈ 6.31 × 10^-12

For the acidic solution with a pH of 2.4:

pH = -log[H+]

2.4 = -log[H+]

Using the logarithmic scale, we can calculate the concentration of hydrogen ions:

H+ = 10^-pH

H+ = 10^-2.4

H+ ≈ 0.004

Therefore, the approximate difference in the concentration of hydrogen ions between the two solutions is:

6.31 × 10^-12 / 0.004 ≈ 1.58 × 10^-9

PLZ HELP ASAP I WILL GIVE BRAINLIEST What is the surface area of the regular pyramid below?

Answers

Answer:

864 units²

Step-by-step explanation:

Area of each sloped side,

= 1/2 x base x height

= 1/2 x 16 x 19 = 152 units²

There are 4 sloped sides, so area of all sloped sides = 4 x 152 = 608 units²

Area of base = Length x Width = 16 x 16 = 256 units²

Total surf. area = area of all sloped sides + area of base

= 608 + 256

= 864 units²

Answer:

I know this is a late answer but it's A. 864 units²

Step-by-step explanation:

Have a great day!

What value(s) of x satisfy the equation above?

A) 0
B) 5
C) No solution
D) Any value such that x ≠ 5

Answers

Answer:

the answer is b, 5.

Step-by-step explanation:

you don't even have to pay attention the denominators of the equation. If you plug in 5 for x in the numerators of the equation. so 8 times 8=40 + 2 times 5=10. basically do 8 times 5 + 2 times 5 it = 50. Because 8 times 5 = 40, and 2 times 5= 10. 40 + 10 =50.

WILL MARK BRAINLEIST!! name all segments skew to bc

Answers

Answer ==== GF, HI, FA, DI

Step-by-step explanation

As long as they aren't on the same plane or aren't touching your given segment, they are skew.

Answer:

GF, HI, FA, DI is correct.

Step-by-step explanation:

HELP PLEASE!! I NEED AN ANSWER AS SOON AS POSSIBLE!!! BEST ANSWER WILL GET BRAINLIEST!!!

Answers

Answer:

hi

Step-by-step explanation:

1. Use the correct order of operation to solve the following problem: 3 × (50 – 62) ÷ 2 A. 69 B. 18 C. 21 D. 57

Answers

The correct answer is B.18

Answer:

The correct answer is option B.  18

Step-by-step explanation:

It is given an expression : 3 × (50 – 62) ÷ 2

To find the answer we have to use BODMAS principle

BODMAS means that the order of operations

B- Bracket, O - of , D - Division, M - Multiplication, A - Addition and

S - Subtraction

To find the correct option

Step 1: Do the bracket first

3 × (50 – 62) ÷ 2 =  3 × (-12) ÷ 2

Step 2: Division

3 × (-12) ÷ 2 = 3 x (-6)

Step 3 : Multiplication

3 x (-6) = -18

The correct option is option B.  18

A B C OR D? look ate the picture down below.
Please help me

Answers

bearing in mind that arcs get their angle measurement from the central angle they're in.

since point C is the center of the circle, then ∡ACB is a central angle, containing the arcAB, and since arcAB = 36° = ∡ACB.

What are the first three terms of the sequence represented by the recursive formula

Answers

A recursive formula designates the starting term, a1, and the nth term of the sequence, an , as an expression containing the previous term (the term before it), an-1. ... Find a recursive formula. This example is an arithmetic sequence (the same number, 5, is added to each term to get to the next term).
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