Find angles b,c and d
Answer:
B = 73°, c = 107°, d= 107°
Step-by-step explanation:
[tex]b + 107 \degree = 180 \degree..(straight \: line \: \angle s) \\ b = 180 \degree - 107 \degree \\ \huge \red{ \boxed{b = 73 \degree}} \\ \\ \huge \purple{ \boxed{c = 107 \degree }}\\..(vertical \: \angle s) \\ \\ \huge \orange{ \boxed{d = 107 \degree }}\\..(corresponding \: \angle s) \\ \\ [/tex]
A person places $5540 in an investment account earning an annual rate of 2.5%,
compounded continuously. Using the formula V = Pent, where V is the value of the
account in t years, P is the principal initially invested, e is the base of a natural
logarithm, and ris the rate of interest, determine the amount of money, to the
nearest cent, in the account after 20 years.
Answer:
$9,133.92
Step-by-step explanation:
V = P*e^(rt)
V = $5540 * e ^ (0.025*20)
V = 5540 * e^(0.5)
V = 5540 * 1.648721
V = $9,133.9158
about $9,133.92
Final answer:
The amount of money in the account after 20 years with continuous compounding at an annual rate of 2.5% is approximately $9138.13.
Explanation:
To calculate the amount of money in an investment account after 20 years with continuous compounding, we use the formula V = Pe^rt, where:
P is the principal amount ($5540),
e is the base of the natural logarithms (approximately 2.71828),
r is the annual interest rate (2.5% or 0.025 as a decimal), and
t is the number of years the money is invested (20 years).
Plugging these values into the formula, we get:
V = $5540 × e^(0.025 × 20)
Using a calculator with the capability to compute e raised to a power, we find:
V ≈ $5540 × 2.71828^0.5
V ≈ $5540 × 1.64872
V ≈ $9138.13
Hence, the value of the investment after 20 years, to the nearest cent, is approximately $9138.13.
Caleb is a junior at JA Enterprise High School and plays rugby on the school team. He has a part-time job at a local fast-food restaurant and works 20 hours a week for $7.60 an hour. His gross monthly income is $608.00, and his take-home pay is $501.64. In his spare time, Caleb walks a dog belonging to an elderly neighbor. He earns an additional $40 per month for that chore. What is Caleb's net monthly income? Remember net income is your take home pay.
Answer:
$541.64
Step-by-step explanation:
Caleb's take Home Pay from the Restaurant =$501.64
He earns an additional $40 per month for dog-walking.
Therefore,
Caleb's net monthly income =$501.64+40 =$541.64
Final answer:
Caleb's net monthly income is $541.64 after factoring in his take-home pay and additional earnings.
Explanation:
Caleb's net monthly income is calculated by subtracting his take-home pay from his additional earnings from walking the dog:
Caleb's take-home pay = $501.64
Additional earnings from walking the dog = $40
Net income = Take-home pay + additional earnings = $501.64 + $40 = $541.64
Which fraction is equal to 0.54 ?
A. 27/50
B. 49/90
C. 6/11
D. 5/4
Answer: A if you want exact not rounded
Step-by-step explanation: 27/50 = .54
49/90 = .544444444444444444444444444444.....repeating
6/11 = .5454545454545454545454545454545...... repeating
5/4= 1.25 which is wrong
please help on this problem
Answer:
n+2n = 150
n = 50
Step-by-step explanation:
n = smaller angle
The other angle is 2n
Add them together to get 150
n+2n = 150
Combine like terms
3n = 150
Divide by 3
3n/3 =150.3
n = 50
Please help have no clue
c8q6
Answer:
the tan of 36° = 0.726
Step-by-step explanation:
if you go on your calculator an press tan then 36 it gives you the answer
Answer:
0.72
Step-by-step explanation:
[tex] \tan \: 36 \degree =0.72 \\ [/tex]
The regular price of a calculator is $12.30. Warren paid 75¢ less than the regular price for the calculator. He also paid $1.48 for a pad of paper. What is the total amount Warren paid for these two items?
Answer:
The total amount Warren paid for these two items is $13.03
Step-by-step explanation:
Warren paid:
75¢ less than $12.30 is $12.30 - $0.75 = $11.55 on the calculator.
$1.48 for the pad of paid.
What is the total amount Warren paid for these two items?
$11.55 + $1.48 = $13.03
The total amount Warren paid for these two items is $13.03
60.2 rounded to the nearest hundredth
To round 60.2 to the nearest hundredth, we need to look at the digit in the thousandth place, which is the second digit after the decimal point. If this digit is 5 or greater, we'll round up, and if it's less than 5, we'll round down. In this case, the digit in the thousandth place is 2, which is less than 5. So, when rounding 60.2 to the nearest hundredth, we round down to 60.20.
Explanation:To round 60.2 to the nearest hundredth, we need to look at the digit in the thousandth place, which is the second digit after the decimal point. If this digit is 5 or greater, we'll round up, and if it's less than 5, we'll round down.
In this case, the digit in the thousandth place is 2, which is less than 5. So, when rounding 60.2 to the nearest hundredth, we round down to 60.20.
Answer: 60.20
Fencing is sold for $1.50 per foot at the garden store. Shawn needs 24 feet of fence for his new puppy's yard. How much will the fence cost?Immersive Reader
Answer:
$36
Step-by-step explanation:
1.5 × 24 = 36
Hope this helps!
-MoCKEry
Compare the subtraction problems (6 8 − 5 8 = 1 8 ) and (6 9 − 7 9 = −1 9 ). Why is the answer to the first problem positive and the answer to the second problem negative? Check all that apply. In the second problem, the first fraction is less than the second fraction. The answer to the first problem is positive because the denominator is even. The answer to the second problem is negative because the denominator is odd. If you subtract a lesser number from a greater number, the answer is positive. If you subtract a greater number from a lesser number, the answer is negative.
Answer:
A D E
Step-by-step explanation:
A. In the second problem, the first fraction is less than the second fraction.
D. If you subtract a lesser number from a greater number, the answer is positive.
E. If you subtract a greater number from a lesser number, the answer is negative.
The correct options are given below:-
A. In the second problem, the first fraction is less than the second fraction.
D. If you subtract a lesser number from a greater number, the answer is positive.
E. If you subtract a greater number from a lesser number, the answer is negative.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.
The expressions are as follows:-
(6/ 8 − 5/8 = 1 8 ) and (6/ 9 − 7 / 9 = −1 / 9 )
In the second problem, the first fraction is less than the second fraction. If you subtract a lesser number from a greater number, the answer is positive. If you subtract a greater number from a lesser number, the answer is negative. All the statements are correct for the given expressions.
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Solve for x. *
(5x + 13)
(9x - 31)
Answer:
x=11
Step-by-step explanation:
5x+13=9x-31
subtract 9 from both sides.
-4x+13=-31
you want to isolate the x value so subtract 13 from both sides.
-4x=-44
now divide both sides by -4.
x=11
The solution for the variable x for given the equation (5x + 13) = (9x - 31) is equal to x = 11.
For the equation (5x + 13) = (9x - 31)
Expand the equation: 5x + 13 = 9x - 31
Combine like terms: 13 = 4x - 31
Isolate x: 4x = 44, x = 11
Therefore, the value of the variable x in the given equation is x = 11.
The above question is incomplete, the complete question is:
Solve for x.
(5x + 13) = (9x - 31)
Trip uses 3.175 liters of water to make
slime. How many milliliters of water does he
use to make the slime?
Answer:
3,175 milliliters
Step-by-step explanation:
There are 1,000 milliliters in a liter, therefore you must use the equation
3.175(1,000), which gives you 3,175 milliliters of water
Answer:
I think 3,175 milliliters in volume if that's what u are looking for
Step-by-step explanation: I converted 3.175 liters to milliliters.
What is the range?
The range is
Answer:
Subtracting between the lowest and highest numbers.
Step-by-step explanation:
Answer:
its 8
Step-by-step explanation:
please help me out here! I’ll give you brainliest if you give me the correct answer! :)
Answer:
0.31
0.36
A
Step-by-step explanation:
Answer:
0.31 and 0.36 (A) is the answer
Pls help will mark brainliest to first answer
Answer:
A. pi(6)^2* 8
Step-by-step explanation:
A lab technician made a 14 cm diameter hole through the middle of a cylinder that has a diameter of 20 cm and a height of 28 cm. What is the approximate volume of the finished cylinder, to the nearest tenth of a centimeter
Answer:
The volume of the finished cylinder is [tex]4486.2 m^3[/tex]
Step-by-step explanation:
To find the volume of the finished cylinder, we have to first find the volume of the hole (with 14 cm diameter and a height of 28 cm) and subtract it from the volume of the original cylinder (with diameter of 20 cm and a height of 28 cm).
Note: The hole is also cylindrical in shape.
The volume of a cylinder is given as:
[tex]V = \pi r^2h[/tex]
where r = radius, h = height
VOLUME OF THE HOLE
The diameter of the hole is 14 cm, hence, its radius is 7 cm (14 / 2 = 7)
Its volume is:
[tex]V = \pi *7^2 * 28\\V = 4310.3 m^3[/tex]
VOLUME OF THE ORIGINAL CYLINDER
The diameter of the cylinder is 20 cm, hence, its radius is 10 cm (20 / 2 = 10)
Its volume is:
[tex]V = \pi *10^2 * 28\\V = 8796.5 m^3[/tex]
Hence, the volume of the finished cylinder will be:
[tex]8796.5 - 4310.3 = 4486.2 m^3[/tex]
The volume of the finished cylinder is [tex]4486.2 m^3[/tex]
The scatter plot shows a regression line of advertising dollars spent and sales. What amount has the greatest error term?
A) $5,650
B) $5,850
C) $6,000
D) $6,750
Answer:
6750
Step-by-step explanation:
A birthday candle costs $0.84. How much do 6 birthday candles cost?
Answer:
$5.04
Step-by-step explanation:
Take the cost of one candle and multiply the number of candles desired
6 *.84 =5.04
Answer: $5.04
Step-by-step explanation:
If one candle costs 0.84, and you need 6 then you multiply 0.84 x 6=5.04.
Can someone please help this is due today
Answer:
3.2
Step-by-step explanation:
First, you have to arrange them in proper numerical order (least to greatest).
84, 88,90,92,96
Next, find the mean by adding them all up and dividing them by 5.
84 + 88 + 90 + 92 + 96 = 450
450 divide by 5 equals 90.
Now, that we have our mean, we have to subtract it from each of the numbers in the data set. Remember this is absolute so there is no negatives.
84 - 90 = 6
88 - 90 = 2
90 - 90 = 0
92 - 90 =2
96 - 90 = 6
Next, line them up again.
2,2,6,6
Find the mean of them:
2 + 2 + 6 + 6 = 16
16 divided by 4 is 4.
Therefore, our answer would be the MAD is 4.0
Find the percent of change from the original price of $184 to the sale price of $138.
Answer: 25%
Step-by-step explanation:
184-138= 46
184*.25=46
Elisondra is eating at a restaurant with three friends they want to choose at random who will order first if you model the situation with a spinner how many equal sized sections should the spinner have
Answer:
4
Step-by-step explanation:
It is Elisondra and her 3 friends.
1+3=4
Answer:
The answer for this problem would be 4
Step-by-step explanation:
Elisondra is eating at a restraurant with three friends. They want to choose at random who will order first. If you model the situation with the spinner, how many equal-sized sections should the spinner have?
Elisondra and her three friends add up to four people, so the spinner should have 4 equal sized sections.
Therefore the answer would be D
Edg : )
A geometric sequence follows________
A.an exponential pattern
B.a linear pattern
C.a quadratic pattern
D.no pattern
A geometric sequence follows an exponential pattern, where each term is found by multiplying the previous term by a constant called the common ratio. Therefore, the answer is A. An Exponential Pattern.
A geometric sequence follows an exponential pattern. This means that each term in the sequence is found by multiplying the previous term by a constant called the common ratio. For example, in the sequence 2, 6, 18, 54, the common ratio is 3. Here, each term is obtained by multiplying the previous term by 3.
To clarify, when we say a sequence follows an exponential pattern, it means the terms grow at a rate that involves doubling, tripling, or multiplying by any fixed number, rather than adding or subtracting a fixed amount as in linear patterns or changing according to a square as in quadratic patterns. This type of pattern can be represented by the formula:
a, ar, ar², ar³,...
where a is the first term and r is the common ratio. Understanding that geometric sequences follow an exponential growth pattern helps in solving various mathematical problems related to population growth, finance, and more.
1. Find the common difference of the sequence: 31, 26, 21, 16, ...
Answer:
it is subtract 5
Step-by-step explanation:
On Monday, 218 students went on a trip to the zoo. All 5 buses were filled and 8 students
had to travel in cars. How many students were in each bus?
Answer:
Their were 42 kids on each bus.
Step-by-step explanation:
You have to divide the number of kids(210) by the number of buses.
Answer:
42
Step-by-step explanation:
if you take the total of kids and subtract the 8 that went into the cars the you do 210 divided by the total of buses and you get 42
Work out the value of 58 x 5-2 54 Total marks: 2
Answer:
2(29x5−127)
Step-by-step explanation:
Factor 58x5−254
58x5−254
=2(29x5−127)
Answer:
36
Step-by-step explanation:
going by BODMAS,
multiplication is first, 58 * 5 = 290
now, subtraction, 290 -254 = 36
A section of a deck is shaped like a trapezoid. For this section, the length of one base is 53 feet, and the length of the other base is 46 feet. The height is 16 feet. What is the area of this section of the deck?
Answer:
792 ft²
Step-by-step explanation:
The formula for area of a trapezoid is A = [tex]\frac{a+b}{2}[/tex] * h, where a = length of base (a) and b = length of base (b) and h = height of trapezoid.
If we plug the shown values, the formula becomes
[tex]\frac{53 + 46}{2}[/tex] * 16
This simplifies to 49.5 * 16, which equals 792. The answer with units is 792 ft².
Hope I helped! Please give me brainliest!
What is the minimum amount of saran wrap that Tyler will need to cover the pencil holder, to ensure that no sand leaks out? *
1 point
a) 11.75 in²
b) 13.5 in²
c) 14.75 in²
d) 32.25 in²
e) 34 in²
Answer:
e
Step-by-step explanation:
To find the surface area of the triangular prism, you need to find the area of all the sides and add them together. The two triangular bases have already been established to have an area of 3 square units each, so together they have an area of 6 units. Two of the rectangular sides have dimensions of 3.5 by 2.5 units, while one has dimensions 3.5 by 3 units. Adding all of this together, you get a total of 34 square inches, or option e. Hope this helps!
George and Cameron went on a bicycle trip they took a bus to the starting point they bought the rest they traveled 350 km in total and they bite 80 km more than they were biased how many kilometers are they travel by bike
Answer:
215
Step-by-step explanation:
We assume that the "starting point" is the starting point for the entire trip, including bus travel.
If B is distance traveled by Bus, and "b" is distance traveled by bike, then we seem to have ...
B + b = 350
b -B = 80
Adding these two equations gives ...
2b = 430
b = 215
They traveled 215 km by bike.
What is the distance from the origin to point A graphed on the complex plane below? On a coordinate plane, Point A is at (negative 3, negative 2). StartRoot 5 EndRoot StartRoot 13 EndRoot 9 13
Answer:
b on edge
Step-by-step explanation:
The distance between the origin and point A is √13.
How to find the distance?
We know that the distance between two points (a, b) and (c, d) is:
[tex]D = \sqrt{(a - c)^2 + (b - d)^2}[/tex]
Here we want to find the distance between the origin, (0, 0), and the point A, which has coordinates (-3, -2).
Using the above formula we will get:
[tex]D = \sqrt{(-2 - 0)^2 + (-3 - 0)^2} = \sqrt{4 + 9} = \sqrt{13}[/tex]
The distance between the origin and point A is √13.
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What is 20 times 20 plus 10
Answer:
410
Step-by-step explanation:
20 x 20 = 400 + 10 = 410
Have a great day :)
Answer:
410
Step-by-step explanation:
20 x 20 = 400
400+ 10 = 410