What is 4/5 + 2/5 =?

Simplify and verify the results for

KatRina [158]

Answer:

21440

Step-by-step explanation:

<h2>Simplify:</h2>

(7x³ + 8x² - 3)(x² - 5)

Start by multiplying 7x³ by x² and -5.

7x⁵ - 35x³ + (8x² - 3)(x² - 5)

Multiply 8x² by x² and -5.

7x⁵ - 35x³ + 8x⁴ - 40x² + (-3)(x² - 5)

Multiply -3 by x² and -5.

7x⁵ - 35x³ + 8x⁴ - 40x² -3x² + 15

Combine like terms together.

7x⁵ - 35x³ + 8x⁴ - 43x² + 15

Rearrange the terms in descending power order.

7x⁵ + 8x⁴ - 35x³ - 43x² + 15

<h2>Verify (I): </h2>

Substitute x = 5 into the above polynomial.

7(5)⁵ + 8(5)⁴ - 35(5)³ - 43(5)² + 15

Evaluate the exponents first.

7(3125) + 8(625) - 35(125) - 43(25) + 15

Multiply the terms together.

21875 + 5000 - 4375 - 1075 + 15

Combine the terms together.

21440

This is the answer when substituting x = 5 into the simplified expression.

<h2>Verify (II):</h2>

Substitute x = 5 into the expression.

[7(5)³ + 8(5)² - 3][(5)² - 5]

Evaluate the exponents first.

[7(125) + 8(25) - 3][(25) - 5]

Multiply the terms in the first bracket next.

[875 + 200 - 3][25 - 5]

Evaluate the expressions inside the brackets.

[1072][20]

Multiply these two terms together.

21440

This is the answer when substituting x = 5 into the original (unsimplified) expression.

3 0

3 years ago

Please help!!! Answer ASAP and show work!!!

n200080 [17]

Answer:

B and C. can you select more than one?

4 0

2 years ago

Enos took out a 25-year loan for $135,000 at an APR of 6.0%, compounded monthly, and he is making monthly payments of $869.81. W

Alborosie

Present value = 135000
Monthly interest, i = 0.06/12 = 0.005
Monthly payment, A= 869.81

Future value of loan after 16 years
$F=P(1+i)^n$ [compound interest formula]
$=135000(1+.005)^{16*12}$
$=351736.652$

Future value of payments after 16 years
$\frac{A((1+i)^n-1)}{i}$
$=\frac{869.81((1+0.005)^{16*12}-1)}{0.005}$
$=279287.456$

Balance = future value of loan - future value of payments
=351736.652-279288.456
= $ 72448.20

Note: the exact monthly payment for a 25-year mortgage is
$A=\frac{P(i*(1+i)^n)}{(1+i)^n-1}$
$=\frac{135000(0.005*(1+0.005)^{25*12}}{(1+0.005)^{25*12}-1}$
$=869.806892$

Repeating the previous calculation with this "exact" monthly payment gives
Balance = 72448.197, very close to one of the choices.

So we conclude that the exact value obtained above differs from the answer choices is due to the precision (or lack of it) of the provided data.

The closest choice is therefore <span>$72,449.19</span>

6 0

3 years ago

Read 2 more answers

Change 93 to base 4

LuckyWell [14K]

93 in base 10 converted into base 4 would 1131

6 0

2 years ago

Last year Golden State Warriors won 80% of the first 15 matches. Then they won the rest of the three matches. What percent of al

MrMuchimi

Answer:

83.33%

Step-by-step explanation:

We first need to evaluate 80% of the first 15 matches in order to determine the number of watches out of 15 which they won.

80 % of 15 = 80/100 * 15 = 12

12 matches out of the first 15 were won.

Since the team won the rest of the 3 remaining matches, the total number of matches won becomes;

12 + 3 = 15

The team thus won 15 matches out of a total of 15 + 3 =18 matches .

The percent of all matches won is ;

15/18 * 100 = 83.33%

3 0

3 years ago