You borrowed $1,500 at 6% compounded annually. your payments are $90 at the end of each year. how many years will you make payments on the loan?

Given the formula for future value annuity:
FV of annuity=P[(1+r)^n-1]/r
where:
P=principle
r=rate
n=time
the time taken to repay the loan will be:
1500=90[(1+0.06)^n-1]/0.06
90=90[(1+0.06)^n-1]
1=(1+0.06)^n-1
1+1=(1+0.06)^n
2=1.06^n
introduce natural log
ln2=nln1.06
n=ln2/ln1.06
n=11.8957=12 years
the answer is 12 years.

Answer:

$4034.40

step-by-step explanation:

the perimeter of the field is the sum of the lengths of the four sides:

47 yd + 158 yd + 47 yd + 158 yd = 410 yd

the cost of 3 ft (1 yd) of fence is 3×$3.28 = $9.84.

so the cost of jake's wood perimeter fance is

(410 yd) × ($9.84 /yd) = $4034.40