Perry made $34,885 this year. If the inflation rate was 6.5 percent, how much was his salary actually worth? (purchasing power)

Solution:

Given that,

Perry made $34,885 this year

The inflation rate was 6.5 percent

To find: Salary worth if inflation rate was 6.5 percent

From given,

Inflation rate = 6.5%

Therefore,

Worth of salary due to inflation = 100 % - 6.5 % = 93.5 %

Money earned in this year by Perry = $ 34, 885

Therefore,

Worth of Perry salary due to inflation = 34,885 x 93.5%

Thus the salary of Perry if inflation is 6.5 % is $ 32617.475

The answer would be $32,617.48

Step-by-step explanation:

this answer is !

(b) 240

step-by-step explanation:

first, we use the pythagorean formula using the given side lengths to find x. then we use x to find the side lengths. then we add the side lengths to find the perimeter.

pythagorean theorem formula:

a^2 + b^2 = c^2

(x - 20)^2 + (x - 40)^2 = x^2

x^2 - 40x + 400 + x^2 - 80x + 1600 = x^2

x^2 -120x + 2000 = 0

(x - 100)(x - 20) = 0

x - 100 = 0 or x - 20 = 0

x = 100 or x = 20

we see that the solution x = 20 must be discarded because it will give a negative side length and a side length of 0. the only valid solution is x = 100.

perimeter = sum of the lengths of the sides

perimeter = x + x - 20 + x - 40

perimeter = 3x - 60

replace x with 100.

perimeter = 3(100) - 60

perimeter = 300 - 60

perimeter = 240