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ludmilkaskok [199]

3 years ago

14

Simplify the expression

1 answer:

Vaselesa [24]3 years ago

3 0

To simplify this expression, you have to remember that when a number or a variable is raised to the negative exponent you have to reciprocate the number. In this expression, c^-8 will be reciprocated so it will become part of the numerator. Therefore, the final answer would be 12c^8/d^2.

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zavuch27 [327]

Are you kidding are you sure you want this

3 0

3 years ago

Installment Buying TV Town sells a big screen smart HDTV for $600 down and monthly payments of $30 for the next 3 years. If the

VikaD [51]

Answer:

(a). $1465.42

(b). $214.58

Step-by-step explanation:

We have been given that installment Buying TV Town sells a big screen smart HDTV for $600 down and monthly payments of $30 for the next 3 years. The interest rate is 1.25% per month on the unpaid balance.

(a) To find the cost of the TV, we will use monthly payment formula.

$R=\frac{Pi}{1-(1+i)^{-n}}$ , where,

R = Periodic payment,

P = Loan amount,

i = Monthly interest rate in decimal form,

n = Number of total payments.

$n=3\times 12=36$

$1.25\%=\frac{1.25}{100}=0.0125$

$30=\frac{P*0.0125}{1-(1+0.0125)^{-36}}$

$30=\frac{0.0125P}{1-(1.0125)^{-36}}$

$30=\frac{0.0125P}{1-0.6394091578134724264}$

$30=\frac{0.0125P}{0.3605908421865275736}$

$10.817725265595827208=0.0125P$

$0.0125P=10.817725265595827208$

$P=\frac{10.817725265595827208}{0.0125}$

$P=865.41802124766617664$

$P\approx 865.42$

We know that total cost of TV would be equal to down payment plus amount of loan that is:

$865.42+600=1465.42$

Therefore, the total cost of the TV would be $1465.42.

(b). First of all, we need to find total amount paid in 3 years by multiplying amount of each monthly payment by 36 (3 years equal to 36 months).

$\$30\times 36=\$1080$

To find the total amount of interest paid, we will subtract amount of loan from total payment.

$\$1080-\$865.42=\$214.58$

Therefore, the total amount paid in interest would be $214.58.

8 0

3 years ago

The quadratic function y = –10x2 + 160x – 430 models a store’s daily profit (y) for selling a T-shirt priced at x dollars. What

asambeis [7]

Answer:

x = 4 or x = 12

Step-by-step explanation:

Given:

y = -10x² + 160x - 430

When y = $50

50 = -10x² + 160x - 430

50 + 430 = -10x² + 160x

480 = -10x² + 160x

-10x² + 160x - 480 = 0

Divide through by -10

x² - 16x + 48 = 0

Solve the quadratic equation using factorization method

+48 = -12 × -4

-16 = -12 -4

Therefore,

-12 and -4 are both factors

x² - 16x + 48 = 0

(x - 4 )(x - 12 ) = 0

x - 4 = 0

x = 4

OR

x - 12 = 0

x = 12

6 0

3 years ago

1 Which is an accurate conclusion regarding the system of equations below? y = x-1 y = 3 - 2 3 - 2 x O A. There is no solution,

Alex73 [517]

Answer:the first one

Step-by-step explanation:

3 0

3 years ago

A baseball team played 25 games and won 10 of them what percent of the game did they win

navik [9.2K]

Answer: 40%

Step-by-step explanation:

They won 10 out of 25, so we can write it as a fraction:

10/25

Divide

10/25=0.4

0.4*100=40%

They won 40% of their games

Hope this helped! :)

7 0

3 years ago