Alonzo deposited into an account with a annual interest rate, compounded monthly. Assuming that no withdrawals are made, how lon
1 answer:
Answer:
5.42 years
Explanation:
The computation of the number of years is as follows:
As we know that
Future value = Present value × (1 + rate of interest)^number of years
Here we assume the number of years be n
$7,160 = $4,000 × (1 + 0.108 ÷ 12)^12n
$7,160 ÷ $4,000 = (1 + 0.108 ÷ 12)^12n
$7,160 ÷ $4,000 = (1.009)^12n
Now take the log to the both sides
log $7,160 ÷ $4,000 = log (1.009)^12n
log $716 ÷ $400 = 12 t log 1.009
t = log ($716 ÷ $400) ÷ 12 t log 1.009
= 5.42 years
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