f(x) = sqrt(2x); g(x) = sqrt(8x) Find (fg)(x) Assume x >= 0

Sarah needs an additional monthly income of $1125.77 to pay off her credit card in 9 months.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

Using the information given,

We can find the current monthly payment Sarah is making using the formula for the present value of an annuity:

[tex]PMT = PV \times r \times (1 + r)^n / [(1 + r)^{n - 1}][/tex]

where PV is the present value (balance), r is the monthly interest rate (APR/12), and n is the number of months (36).

PMT.

[tex]= 9450 \times 0.17/12 \times (1 + 0.17/12)^{36} / [(1 + 0.17/12)^{36} - 1][/tex]

= $338.48

To pay off the balance in 9 months, Sarah needs to increase her monthly payment.

Let's call this additional payment x.

Then, we have:

[tex]9450 \times 1.17^{9/12} = (338.48 + x) \times ((1 + 0.17/12)^{9 - 1}) / (0.17/12)\\[/tex]

Solving for x, we get:

x = $1125.77

Therefore,

Sarah needs an additional monthly income of $1125.77 to pay off her credit card in 9 months.

Learn more about expressions here:

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Answer:

28

Step-by-step explanation:

first substract 49-21 which will give u 28.

then use this 28 for the other trapezium

add up 24 and 28 together which give 52. then substract 52 from 24 which will give u the answer 28. so therefore 28 is the answer.

hope u understood

Answer:

-31%

Step-by-step explanation:

100 - 131 = -31

Answer:

Step-by-step explanation:

ccadcdddddddddddddddddddddddd

Answer:

Negative, -17/15

Step-by-step explanation:

Answer:

Miles per hour

Step-by-step explanation:

And if you want to know the speed it's 3 miles per hour.

Answer:

2¾

Step-by-step explanation:

(1/5 + 1/2)² + 3/10 × 5

= (7/10)² + 3/10 × 5

= 7/10 × 7/10 + 3/10 × 5/1

= 49/100 + 15/10

= 49/20 + 3/10

= 49 + 6 = 55/20

= 2 15/20 = 2¾

Answer:

1,056

Step-by-step explanation:

16 x 6 = 96

96 x 11 = 1,056

Hey there!

16 * 6 * 11

16 * 6

= 16 + 16 + 16 + 16 + 16 + 16

= 32 + 32 + 32

= 64 + 32

= 96

= 96 * 11

= 96 * 11

= 96 + 96 + 96 + 96 + 96 + 96 + 96 + 96 + 96 + 96 + 96

= 192 + 192 + 192 + 192 + 192 + 96

= 384 + 384 + 288

= 768 + 288

= 1,056

Therefore, your answer is: 1,056

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

112 ounces

Step-by-step explanation:

1 pound = 16 ounces

We are converting 7 pounds to ounces

7 × 16 = 112

Answer:

The answer to your question is 152

Step-by-step explanation:

46+56+3+17+30= 152

I hope this helps!

Answer:

152

Step-by-step explanation:

46+56= 102. 102+3= 105. 105+17= 122. 122+30= 152

Answer:

20 yards squared.

Step-by-step explanation:

First, you should convert your units. Three feet make a yard, so 15 feet = 5 yards and 12 feet = 4 yards.

The area of a square is found by multiplying the length and width, so 5 yards x 4 yards = 20 yards.

Step-by-step explanation:

i guess it helps..if yuh need step by step explanation.comment i try to explain in worda

Answer:

215/2

Step-by-step explanation:

A linear pair means that the angles equal 180 degrees.

If added together 1 and 2 equal to 180 degrees, then the equation should be x+47+x-12=180. Then solve and simplify.

x+47+x-12=180

2x-35=180

2x=215

x=215/2

Answer: 110 degrees

Triangle sum theory tells us that all the internal angles are equal to 180.

Meaning, we can solve 2x+3x+3x+4=180 for x

x=22

Then solve for 3x+4, which equals 70.

Last step, take 70 from 180 to find the external angle!

110 :)

Answer:

Exterior angle is equal to 110

Step-by-step explanation:

So to find the exterior angle, you must find the interior angle first.

You know that all 3 angles within the triangle must equal to 180 degrees, so what we can do is set up this equation to reflect that statement:

2x+3x+(3x+4) = 180

Group like terms:

8x+4=180

Solve for x:

8x = 176

x = 22

We can double check to see this matches up with all of the other angles inside:

2x = 44

3x = 66

3x+4 = 70

44 + 66 + 70 = 180

We also know that a straight line is 180 degrees

So, ? = 180 - 70

? = 110 degrees

Step-by-step explanation:

A = Future value of the amount invested

P = principal (amount of money invested) = $9,200

i  = interest rate =  6% or 0.06

n = number of compounding periods (it is the number of times the interest is compounded).

For the Interest Rate per Compounding Period column, you'll have to divide the interest rate by its corresponding compounding period (please see the definitions of each compounding periods below). For example, the interest rate per compounding period (compounded annually) = interest rate ÷ number of compounding periods ( [tex]\frac{i}{n}[/tex] ) = 0.06/1 = 0.06 or 6%

For the Number of Compounding Periods column, you'll have to multiply (t ) by the number of compounding periods (n):

t × n =  15 years × 1  =  15

The Compound Interest Formula column is pretty self-explanatory--you'll just have to follow the given formula. You need to make sure that you change the values for i and n  for every row.

Compounding periods (n):

compounding annually: n = 1  

compounding semiannually: n = 2

compounding quarterly: n = 4

compounding monthly: n = 12

compounding weekly: n = 52

compounding daily: n = 365

You'll have to use these values into your Compound Interest formula.

I will do the 2nd row (semi-annually) for you as a guide, but you'll have to do the rest so that you could familiarize yourself on how to do it.

Interest Rate per Compounding Period  = i / n = 0.06/2 = 0.03 or 3%

Number of Compounding Periods = t × n =  15 years × 2 = 30

Compound Interest Formula:  [tex]A = 9,200(1 + 0.03)^{30}[/tex]

Final Amount  = 22,330.81

Answer:

37/2

Step-by-step explanation:

since its a repeating 36 would become a 37 and the 2 would become the denominator

The answer is -445/4 in improper fraction form, -111 1/4 as a mixed fraction, and -111.25 in decimal form.

Answer:

-111.25

Step-by-step explanation:

Answer:

the length of DE is A) 18

Step-by-step explanation:

these triangles are similar so you need to create a proportion!

since sides DF and FE are the same, it means that AC and CB are the same!

now we have to find the hypotenuse for DE, which is X

- set up a proportion!

side AC/side AB = side DF/side DE ----> 15/27 = 10/x

- butterfly multiply to get 15x = 270

- divide both sides by 15 to isolate x

now you get --------> x = 18!

comment or message me if you are still confused or have a question!

Answer:

hope you like my answer its -42.7

Answer:

216 cubic inches

Step-by-step explanation:

To find the volume of just the cube:

12 x 12 x 12 = 1728

then to find the volume of the section:

1728/8 = 216

Answer:

3^3+(4^3-7^2+3)/3^2

3^3+(64-49+3)/3^2

3^3+(15+3)/3^2

3^3+(18)/3^2

45/3^2

45/9

5

Step-by-step explanation:

Answer:

5x +2 = 87

So X = 17

3y = 42

So Y = 14

Answer:           696

Step-by-step explanation:

Answer:

x equals to 6

Step-by-step explanation:

the angles not touching the outer angle equals it

Answer:

Step-by-step explanation:

Let this relationship be:

Use the given numbers to find the value of k:

The steps your teacher gave you are on the right track, but not quite 100% correct.

The first line has us find the area of the entire patio. That area being 110.25 square feet.

The next step is to find the area of each stone. That would be 1.5 x 1.5 = 2.25 square feet.

Therefore, the patio is made up of 110.25 ÷ 2.25 = 49 tiles

When arranged into a square, we'll have a 7 by 7 square set of stone tiles. Notice how 7 x 7 = 49.

Answer:

Step-by-step explanation:

1. 6 yd

2. 32 oz

3. 51.2 fl oz

4. 10560 ft

5. 2.5 T

6. Quarts to what??? Pints???

Answer:

true

Step-by-step explanation:

if there is 4 ounces of water in it then it would be empty withing 2 minutes