4400 dollars is placed in an account with an annual interest rate of 8.25%.how much will be in the account after 22 years, to the nearest cent?

you are right, but remember since the base is an actual number then you need to raise 5 to the power of 4. Your answer is 625.

Answer:

1-ELIMINATION.

2- SUBSTITUTION.

3- GRAPHING.

Step-by-step explanation:

Methods:

1- Elimination:

- Line up the variables.

- To cancel out one of the variables, you need to make that the coefficient of that variable opposite. For example:

[tex]\left \{ {{3x+y=1} \atop {-3x+4y=3}} \right.[/tex]

As you can see, the coefficient of x in the first eqation is 3 and -3 in the second option.

- Add the equations.

- Solve for the the variable that is still present.

- Substitute the value of the variable obtained into one of the original equations.

- Solve for the other variable.

2- Substitution:

- Solve for one of the variables from any of the equations of the system.

- Substitute into the other equation for that variable.

- Solve for the other varible to find its value.

- Substitute the value obtained into any of the original equations and solve for the other variable.

3- Graphing:

- Rewrite the equations as equtions of the line slope intercept form ([tex]y=mx+b[/tex], where m is the slope nd b the y-intercept).

- Graph each line.

-  Then:

If there ir an intersection point of the two lines, then that point is the solution to the system

If the lines are the same, there are infinitely many  solutions.

If the lines are parallel, then there is no solution

Answer:

I think that it is B but don't quote me on it

Step-by-step explanation:

Answer:

192oz

Step-by-step explanation:

1lb=16oz

12*16=192oz

Answer:

C. 7

Step-by-step explanation:

Answer:

(3+√2)(3-√2) =  7

Step-by-step explanation:

We have given a expression.

(3+√2)(3-√2)

We have to simplify above expression.

We use difference formula to solve above expression.

(a-b)(a+b) =   a²-b²

(3+√2)(3-√2) =  (3)²-(√2)²

(3+√2)(3-√2) =  9-2

(3+√2)(3-√2) =  7 which is the answer.

Solution :

Since there are 36 apples

There are n friends

Since each friend gets 2 apples.

So, n friends get apples= 2n

Answer:

B) 2n = 36

Step-by-step explanation:

Each friend receives 2 apples.

n number of friends receive 2n apples.

2n is the total number of apples, and it equals 36.

The equation is

2n = 36

Answer: B) 2n = 36

Answer:

B) 40 mins

Step-by-step explanation:

Look at the graphic and the left of 40 mins are 10%

Best regards

Answer:

Choose the best estimate for the capacity of a bath tub

A. 5 ml

B. 500 ml

C. 50 cl

D. 500 L

Step-by-step explanation:

The best estimate for the capacity of a bathtub is 500 Liters (500L) as it provides a measure that is comparably similar to the actual volume of a bathtub.

The best estimate for the capacity of a bathtub would be  500 Liters (500L). This is because the capacity of a bathtub is usually much larger than a litre. Option A and B provide measurements in millilitres, which are much smaller units (a liter is 1,000 millilitres), and thus would not be sufficient to measure a bathtub's capacity. Option C is calling for centilitres, where 1 centilitre is equivalent to 10 millilitres, still way smaller than a bathtub's capacity. Hence, 500L (500 Litres) is the most reasonable estimation for the capacity of a bathtub.

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well, on the grid, the base RT of a triangle goes from -5 to 5, namely is 10 units long.

the height of each triangle is 5 as well, notice from 0 to 5.

[tex]\bf \stackrel{\textit{area of one triangle}}{\cfrac{1}{2}(10)(5)}\implies 25~\hspace{13em}\stackrel{\textit{both triangles added up}}{25+25\implies 50}[/tex]

Step-by-step explanation:

well, on the grid, the base RT of a triangle goes from -5 to 5, namely is 10 units long.

the height of each triangle is 5 as well, notice from 0 to 5.

Answer:

terms: 2x, 3y

like terms: n/a

coefficients: 2, 3

constants: 7

Step-by-step explanation:

terms: matching variables

coefficients: numbers in front of the variable

constants: number that does not change

Answer: C, or FH, EG, AE, and BF

Step-by-step explanation:

Skew means not parallel nor perpendicular, and the four lines that does that are AE, BF, EG, FH

Answer:

C, or FH, EG, AE, and BF

Step-by-step explanation:

Answer:

84 is your answer

Step-by-step explanation:

What you are doing is multiplying them together.

87,1/2% put into a calculator comes out to 7/8 or .875.

You will take that and multiply it to 96

7/8*96=84.

Answer:

Opposites in the numbers world refer to numbers that have the same absolute value, but one is negative, while the other is positive.

For a real world example, consider if you have your friend 5 dollars. The amount you have in the transaction is the opposite of the amount he has in the transaction.

The opposite of a number X is that number that when added to X produces zero. The opposite of X is denoted with −X.

The opposite of a number has the same absolute value as the number but an opposite sign. For example, the opposite of 1 is equal to −1 because 1 + (−1) = 0.

The opposite of zero is zero. This is the only number whose opposite is equal to itself. So zero is the neutral element with regard to addition.

In turn, the opposite of a complex number corresponds to a rotation of 180°.

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➷ First, just divide the numbers:

12/4 = 3

When dividing values with exponents, you have to subtract the exponents:

7 - 5 = 2

Therefore, your answer would be option B. 3b^2

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡

Answer:

Step-by-step explanation:

I am assuming that you meant the following:

 12b^7

------------

  4b^5

Note that " ^ " is the proper symbol for exponentiation, and " * " for multiplication.

12/4 = 3 and b^7 / b^5 = b^2.  Thus,

 12b^7

------------ = 3b^2 (or, better yet, 3b²).

  4b^5

the answer is y=3x-1

the 3 comes from the point moving 3 up and 1 right and the -1 comes from the y intercept

Answer:

Step-by-step explanation:

The slope-intercept form of the equation of a line:

y = mx + b

m - slope

b - y-intercept

From the graph we have the y-intercept: (0, -1). Therefore b = -1.

y = mx - 1

From the graph we have the second point (1, 2). Put the coordinates of this point to the eqution:

2 = m(1) - 1

2 = m - 1               add 1 to both sides

3 = m

Finally we have

y = 3x - 1

The answer is:

[tex]f(4)=\frac{4}{3}[/tex]

Evaluating a function means substituting the variable (x in this case) by the given value (4 in this case), so where is an "x" we should rewrite with the number 4.

So, evaluating the function for [tex]x=4[/tex] we have:

[tex]f(4)=\frac{1}{3}(4)=\frac{1}{3}*4=\frac{4}{3}[/tex]

Have a nice day!

Answer: [tex]f(4)=\frac{4}{3}[/tex]

Step-by-step explanation:

To solve the problem shown above, you only need to substitute x=4 into the given fucntion.

By definition, the value of x (which is this case is 4) is  called the input value and the value obtained when you susbtitute it into the function is called the output value.

Keeping the above on mind when you susbtitute x=4 into the function,  you obtain the  result shown below:

[tex]f(x)=\frac{1}{3}x\\\\f(4)=\frac{1}{3}(4)\\\\f(4)=\frac{4}{3}[/tex]

Answer:

Step-by-step explanation:

56-------   6 rounded up to 60            

16-----  6 rounded up to 20

Answer:

The answer is the third

The surface area of prism = 81 ft²

Step-by-step explanation:

∵ The triangular prism has 5 faces

- Two triangles ⇒ bases

- 3 rectangles ⇒ side faces

* to find the surface area of it, we will find the area of

 each face and add them together

- Area of bases:

∵ The bases are right angle triangles with base 6 ft and height 4.5 ft

∵ Area triangle = 1/2 × base × height

∴ Area one base = 1/2 × 6 × 4.5 = 13.5 ft²

∴ Area two bases = 13.5 × 2 = 27 ft² ⇒ (1)

- Area of the first rectangle with dimensions 3 ft and 6 ft

∵ Area rectangle = L × W

∴ Area 1st rectangle = 3 × 6 = 18 ft² ⇒ (2)

- Area of the second rectangle with dimensions 3 ft and 7.5 ft

∴ Area 2nd rectangle = 3 × 7.5 = 22.5 ft² ⇒ (3)

- Area of the third rectangle with dimensions 3 ft and 4.5 ft

∴ Area 3rd rectangle = 3 × 4.5 = 13.5 ft² ⇒ (4)

Add (1) , (2) , (3) and (4)

∴ The surface area of prism = 27 + 18 + 22.5 + 13.5 = 81 ft²

Answer:

81

Step-by-step explanation:

I think it’s C. But I’m not A 100 sure

Answer:

The Answer Would be (C. 3x3 - 4x2 - 10)

Step-by-step explanation:

Like terms are those terms which have same variable to the same power.

Find the difference of the following:

Remove the parenthesis we get;

Combine like terms;

Therefore, the difference of  is,

I'm not sure, but I think this is the answer.

Answer:

Sara has 24-x-7

Tim has 24+x/2

Explanation:

So for Tim, He had 24 and received x no of sweets from Sara, so

24+x

After that, he ate half of it, so

24+x/2

Now for Sara, She had 24 and gave Tim x no of sweets, so

24-x

After that, she ate 7 of it, so

24-x-7

Hope it helps

The expression for the number of sweets Sara and Tim have now after sharing and eating some is represented as 29 - 0.5x.

Expression for the number of sweets Sara and Tim have now:

Sara gives Tim x sweets, so Sara has 24 - x sweets and Tim has 24 + x sweets.

After Sara eats 7 of her sweets, she has 24 - x - 7 = 17 - x sweets left.

Tim eats half of his sweets, so he has (24 + x) / 2 = 12 + 0.5x sweets left.

The total number of sweets Sara and Tim have now is: (17 - x) + (12 + 0.5x) = 29 - 0.5x.

we know there are 180° in π radians, how many degrees then in -3π/10 radians?

[tex]\bf \begin{array}{ccll} degrees&radians\\ \cline{1-2} 180&\pi \\\\ x&-\frac{3\pi }{10} \end{array}\implies \cfrac{180}{x}=\cfrac{\pi }{~~-\frac{3\pi }{10}~~}\implies \cfrac{180}{x}=\cfrac{\frac{\pi}{1} }{~~-\frac{3\pi }{10}~~} \\\\\\ \cfrac{180}{x}=\cfrac{\pi }{1}\cdot \cfrac{10}{-3\pi }\implies \cfrac{180}{x}=-\cfrac{10}{3}\implies 540=-10x\implies \cfrac{540}{-10}=x \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill -54=x~\hfill[/tex]

Final answer:

To find f(8) for f(x) = 2x - 7, plug 8 into the equation and simplify: f(8) = 2(8) - 7, which equals 9.

Explanation:

To find the value of the function f(x) at x = 8, you simply substitute the value of 8 into the function. Given f(x) = 2x - 7, substituting 8 for x gives us:

f(8) = 2(8) - 7

Now, multiply 2 by 8:

f(8) = 16 - 7

Then, subtract 7 from 16:

f(8) = 9

Therefore, the value of the function f(x) when x = 8 is 9.

They’re aren’t any pictures you provided but I can still assist you a little. It’s starts at 6:25 so you add 3 hours then add 15 minutes.

So add 6 hours + 3 hours = 9 hours, then do 25+15 = 40

So the competition ends at 9:40

Answer: A

put x = 3 into f(x)=6x and you get f(x) = 18

Put x = 4 into f(x) and you get f(x) = 24

Subtract those two. 24 - 18 = 6

Also, f(x) = 6x it will always be 6 away from the next x you put into the equasion.

Or better said, it will be 6 more from 6x, because you are changing the x to X+1, hence,

6(x+1) = 6x + 6.

+6, it increases.

Answer:C: f(x) increases by factor of 9

Step-by-step explanation:

if the die has six sides, the probability that he will roll 2 again is 1/6 since there’s only one 2 out of the six sides

The probability jack will get 2 on the next roll is 1/6.

It is the ratio that determines how likely a certain event can occur within a set of possible events.

The given dice has 6 sides.

The number 2 occurs only on one side of a die.

Therefore, if he were to roll the dice one more time, the probability that he would get 2 can be given by 1/6.

Therefore, the probability that jack will get 2 on the next roll is 1/6.

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Your answer is 5 gallons

Answer:

5

Step-by-step explanation:

1/4 has 3 x's, so we multiply 1/4 by 3 to get 3/4.  3/8 has 2 x's so we multiply 3/8 with 2 to get 3/4.  5/8 has 4 x's, so we multiply 5/8 by 4 to get 10/4.  1 has 1 x so we multiply 1 with 1 to get 1.  Adding these up, we get 3/4 + 3/4 + 10/4 + 1 = 16/4 + 1 = 5.

Answer:

180"/12 = 15 ft

Step-by-step explanation:

Answer:

[tex]\large\boxed{180\ in=15\ ft}[/tex]

Step-by-step explanation:

[tex]1\ ft=12\ in\to1\ in=\dfrac{1}{12}\ ft\\\\180\ in=\dfrac{180}{12}\ ft=15\ ft[/tex]

Answer:

2/6, which equals 1/3

Step-by-step explanation: