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2 years ago

Need help with this algebra problem ALG 2A

Mathematics

1 answer:

nikdorinn [45]2 years ago

5 0

Answer:

If you are trying to simplify the expression, the answer is -14x^2+8x-37

Step-by-step explanation:

First, keep removing the parentheses.

(x-1)(2-x)+(x^2+5)(x-7) -x^2(x+6)

Next, try expanding the expression.

3x - x^2 - 2+ (x^2+5)(x-7)-x^2(x+6

3x-x^2-2+x^3-7x^2+5x-35-x^2(x+6

3x-x^2-2x^3-7x^2+5x-35-x^3-6x^2

Finally, simplify the expression.

-14x^2 8x-37

I hope this helped to answer your question.

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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

Diego then says, If we take half of the first number and double the second, the sum is 14. Write an equation that could represen

Luden [163]

Step-by-step explanation:

let the first number be x

let the second number be y

½ of the first number= ½x

Double the second; 2*y=2y

the sum... that is ½x+2y=14

8 0

2 years ago

What is 5/8 divided by 4/3

soldi70 [24.7K]

Answer:

15/32

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

Factor completely 2x^2 − 2x − 40.

zubka84 [21]

Step-by-step explanation:

Hey there!

Given;

$= 2 {x}^{2} - 2x - 40$

Solve it by using mid-term factorization.

$= 2 {x}^{2} - 2x - 40$

$= 2 {x}^{2} - (10 - 8)x - 40$

$= 2 {x}^{2} - 10x + 8x - 40$

Take common and simplify them to get answer.

$2x(x - 5) + 8(x - 5)$

$= (2x + 8)(x - 5)$

$= 2(x + 4)(x - 5)$

Therefore the answer is option D.

Hope it helps..

3 0

3 years ago

-5mn + 6n - 4m + 2mn + 8n + 3m simplify please show your work

BARSIC [14]

Answer:

-3mn + 14n - m is your answer.

Step-by-step explanation:

Combine like terms (terms with the same amount of variables). Reorder so that it is so:

(-5mn + 2mn) + (6n + 8n) + (-4m + 3m)

Combine like terms. Add or subtract the variables. Note that if there is no number, it is assumed that there is a 1:

(-5mn + 2mn) = (2mn - 5mn) = -3mn

(6n + 8n) = 14n

(-4m + 3m) = 3m - 4m = -m

(-3mn) + (14n) + (-m)

-3mn + 14n - m is your answer.

7 0

2 years ago

Read 2 more answers