In the library where you work, it usually takes you 2 hours to shelve 5 carts of books. At this rate, about how many minutes should it take you to shelve 1 cart of
books?

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.

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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:

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:           696

Step-by-step explanation:

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: 2/5

Explanation: Ask if you want an explanation!

      The question gives us two points, (-2, 1) and (8,5), from which we can find the slope and later the equation of the line.

Finding the Slope

The slope of the line (m) = (y₂ - y₁) ÷ (x₂ - x₁)      

                                          =  (5 - 1) ÷ (8 - (-2))    

                                          =   ⁴/₁₀

                                          = ²/₅  

Checking my answer:

We can check to see if the answer is correct by drawing the line and seeing if it passes through both points. If it does, then the slope is correct.

We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line:

                                ⇒  y - 1 =  ²/₅ (x + 2)

In the graph below (created using Desmos), the line passes through both points. This suggests that we calculated the slope correctly.

x=0 I think not 100% sure though

Answer: The equation has infinitely many solutions.

Step-by-step explanation:

With George's end result of 3=3, you can assume that the equation is set up in such a way that no matter what you plug in, you will get the same number on both sides of the equals sign, which means the solution is valid. Therefore this means that there are an infinite number of solutions.

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:

60 minute equals to 1 hour

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: 65x + 325y = 550

Answer:

x equals to 6

Step-by-step explanation:

the angles not touching the outer angle equals it

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

Well you do 15x3 to get 43 now do 126x 43 to get 5,418 The answer is :5,418 Your welcome come btw u sus 0_0 among us

The number of small boxes that will fill the truck will be 144 boxes

The formula for calculating rectangular box is expressed as:

V = LWH

L is the length

W is the width

H is the height

For the large box

Volume = 12 * 18 * 16

Volume = 3,456 cubic inches

For the small box:

Volume of the small box = 3 * 2 * 4

Volume of the small box = 24 cubic inches

Number of small boxes that will fill the truck = 3456/24

Number of small boxes that will fill the truck = 144

Hence the number of small boxes that will fill the truck will be 144 boxes

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Answer:

21

Step-by-step explanation:

First, add the parenthesis

2^4 + 4.50 ÷ 0.9

Second, divide 4.50 by 0.9

2^4 + 5

Third, get rid of the ^4

(2x2x2x2)

16 + 5

21

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.

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:

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:

you betrayed me and i know that youll never feel srry

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

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

Answer:

Step-by-step explanation:

Remember PEMDAS

1-1:5=

1-0.2=

0.8

Answer:

D

Step-by-step explanation:

Please mark brainliest

Answer:

x=45

Step-by-step explanation:

2(45)=90

90/2=90/2

Answer:

15/16

Decimal form 0.9375

Step-by-step explanation: