4. john payer, owner of payer's garage, estimates he will need $55,000 for
new equipment in 8 years. john decided he would put aside the money now
so that in 8 years the $55,000 will be available. his bank offers him 8%
interest compounded semiannually. how much will john invest today so his
account will have $55,000 in 8 years? check your answer.

$29364.95

Step-by-step explanation:

The formula to apply is;

where ;

A=amount at the end

P=principal amount

r=rate of interest as a decimal

n=number of compoundings a year

t=total number of years

Given in the question

A=$55000

t=8 years

n=2

r=0.08

P=?

Substitute the values in the equation;

Checking the answer

x = 25

step-by-step explanation:

a^2+b^2=c^2

7^2+24^2=c^2

49+576=625

sqrt625=25

x=25

f(2x−x2)=−3x2+6x−1

step-by-step explanation:

set up the composite function and evaluate.

f(2x−x2)=−3x2+6x−1