3 years ago

A consumer charges P dollars on a credit card at an annual interest rate of 26%,

Mathematics

1 answer:

Bas_tet [7]3 years ago

7 0

Answer:

the original amount is $1,642

Step-by-step explanation:

The computation of the original amount is shown below:

As we know that

Future value = Present value × (1 + rate of interest)^number of years

So,

Present value = Future value ÷ (1 + rate of interest)^number of years

= $3,024.56 ÷ (1 + 0.26 ÷ 2)^5

= $1,642

Hence, the original amount is $1,642

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3 years ago

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mash [69]

Answer:

a. $\frac{(x-7)}{x^2+x-30}$

Step-by-step explanation:

$\huge \frac{x^2-3x-28}{(x^2+10x+24)(x-5)} \\\\\huge {=\frac{x^2-7x+4x-28}{(x^2+6x+4x+24)(x-5)}}\\\\\huge {=\frac{x(x-7)+4(x-7)}{\{x(x+6)+4(x+6)\}(x-5)}}\\\\\huge {=\frac{(x-7)(x+4)}{(x+6)(x+4)(x-5)}}\\\\\huge {=\frac{(x-7)}{(x+6)(x-5)}}\\\\\huge {=\frac{(x-7)}{x^2+(6-5)x+6(-5)}}\\\\\huge {=\frac{(x-7)}{x^2+x-30}}$