<PRE><B>Question 1179838</B>

Leah puts $3,000 into her savings account that earns 1.8% interest compounded quarterly.

P=3000
r=1.8% = 0.018
n=4
t=5

A = 3000(1+0.018/4) ^ 4*5

A= 3000*(1+0.0045)^20

the balance be after 5 years $3281.86

b) How many years will it take her to reach a balance of $4,000?

4000 = 3000*(1+0.0045)^4t

4/3 = 1.0045^4t

log(4/3) = 4t*log(1.0045)

(log(4/3))/(4* log (1.0045))=t

t=16.018 years</PRE>