All categories

3 years ago

Write and evaluate an expression for: Music lessons cost $20 a week. How much do 6 weeks of lessons cost?

Mathematics

2 answers:

givi [52]3 years ago

7 0

Answer:

$120 dollars.

Step-by-step explanation:

LuckyWell [14K]3 years ago

3 0

Answer:

x= $120/ 6 weeks

Step-by-step explanation:

if $20 is 1 week then...:

weeks.......1 6

----- = ----

dollars........20 x

x= $120/ 6 weeks

You might be interested in

Consider a home mortgage of $225,000 at a fixed APR of 4.5 % for 30 years. a. Calculate the monthly payment. b. Determine the

White raven [17]

The formula for the monthly payment.....

$M= \frac{P(1+r)^nr}{[(1+r)^n] -1}$ , where P = the principal amount, r = the monthly interest rate and n = the total number of months.

Here annual interest rate is given as 4.5%

So, the monthly interest rate $=\frac{4.5\%}{12}= 0.375\% = 0.00375$

Total number of months $= (30*12)months=360 months$

Also given that, the principal amount is $225000

a. So, the monthly payment will be.....

$M= \frac{P(1+r)^nr}{[(1+r)^n] -1}\\ \\ M= \frac{225000(1+0.00375)^3^6^0*0.00375}{(1+0.00375)^3^6^0 -1}\\ \\ M= \frac{225000(1.00375)^3^6^0*0.00375}{(1.00375)^3^6^0 -1} \\ \\ M \approx 1140$

Thus, the monthly payment will be approximately $1140

b. The total amount paid over the term of the loan will be: $\$ 1140*360 months = \$ 410400$

c. As the principal amount was $225000 , so the amount of interest $= (\$ 410400- \$ 225000)= \$ 185400$

So, the percentage of amount that is paid toward the principal $=\frac{225000}{410400}*100\% =54.82\%$

and the percentage of amount that is paid toward the interest $=\frac{185400}{410400}*100\%=45.18\%$

4 0

3 years ago

Fifteen times the square of a non-zero number is equal to 12 times the number. whats the number?

Fofino [41]

15x^2 = 12x
divide each side by x
15x = 12
now divide each side by 15
x = 12/15 or 4/5 which is also 0.8

4 0

3 years ago

Jodi's car used 12 gallons of gas to travel 456 miles. How many miles did her car travel per gallon of gas? Show your work. Answ

Sloan [31]

Answer:

The number of miles her car travel per gallon of gas is 38 miles per 1 gallon of gas

Step-by-step explanation:

Given

Size of Gas = 12 gallon of gas

Distance = 456 miles

Calculating the number of miles her car travel per gallon of gas.

This in calculated by distance/size of gas

By substituton, it becomes

Number of miles = 456 miles/12 gallons ------ divide

Number of miles = 38 miles / gallon.

Hence, the number of miles her car travel per gallon of gas is 38 miles per 1 gallon of gas

8 0

2 years ago

In the diagram, the radius of the outer circle is 2x cm and the radius of the inside circle is 6 cm. The area of the shaded regi

miv72 [106K]

Let's find the area of the outer circle and the inside circle
the inside's circle area
A= π x 6²=36π
the outer's
A' = π x 4x²= 4πx²
A'-A=4πx²- 36π=160πcm² equivalent to x²- 9=40, so x²=49 implies x =sqrt(49)=7, x=7

3 0

3 years ago

Read 2 more answers

11. The year end balance sheet of Ultimate Medical Center show total liabilities of $5,000,000, which includes a loan to expand

kotegsom [21]

Given is:

The total liabilities are $5,000,000 including a loan to expand services.

Net worth at the balance sheet date is given $ 4,000,000.

Hence out of $5,000,000 , $ 4,000,000 is capital and remaining $1,000,000 is loan

Debts to net worth ratio is = $\frac{1000000}{4000000}*100$

= 0.25 or 25%

5 0

2 years ago