please help, this is an algebra 2 question :) I attached the problem in a photo - simplify the following expression

Mathematics

1 answer:

MrRa [10]2 years ago

7 0

Answer:

$\frac{x^2+19x-56}{4x^2-32x}$

Step-by-step explanation:

To add two fractions we need a common denominator. Just by looking at the two, there are no common factors. This means the denominator would be the product of the two: 4x(x-8). In order to obtain this, we multiply the first fraction by (x-8)/(x-8) - 1, and the second by 4x/4x - 1:

$\frac{x+7}{4x} *\frac{x-8}{x-8} +\frac{5}{x-8}*\frac{4x}{4x}$

We can use the distributive property to simplify:

$\frac{x^2-x-56}{4x(x-8)} +\frac{20x}{4x(x-8)}$

The sum of the two is:

$\frac{x^2+19x-56}{4x^2-32x}$

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Cam and Madison were investing money into two different accounts. They both invested $550

Arlecino [84]

Answer:

After 5 years, Cam's account will have $ 616.04 while Madison's account will have $ 638.53.

Step-by-step explanation:

Given that Cam and Madison were investing money into two different accounts, both investing $ 550 each, and Cam invested into an account at an annual interest rate of 2.7% compounded monthly while

Madison invested into an account that had an annual interest rate of 3% compounded quarterly, to determine the balances of both accounts after 5 years, the following calculations must be performed:

Cam

X = 550 (1 + 0.027 / 12) ^ 5x12

X = 550 (1 + 0.027 / 12) ^ 60

X = 616.04

Madison

X = 550 (1 + 0.03 / 3) ^ 5x3

X = 550 (1 + 0.03 / 3) ^ 15

X = 638.53

Thus, after 5 years, Cam's account will have $ 616.04 while Madison's account will have $ 638.53.

4 0

2 years ago

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