Question
7. Jane must repay her 19000 student loan. She plans to 350 The banks's interest rate is 6.9% /a compounded monthly. About how many years will it take Jane to repay her loan? [4]
Solution
3.7
(336 Votes)
Kailey
Professional ยท Tutor for 6 years
Answer
### Approximately 5.5 years
Explanation
## Step 1: Calculate the monthly interest rate.### The annual interest rate is 6.9%, so the monthly interest rate is
.## Step 2: Use the loan amortization formula.### The loan amortization formula is
, where:### *
is the monthly payment (
350
r
0.00575
PV
\
)### *
is the number of months.### We need to solve for
. The formula can be rearranged to:
.## Step 3: Substitute the values and calculate
.### Substituting the values, we get:###
months.## Step 4: Convert months to years.### Divide the number of months by 12 to get the number of years:
years. Since the question asks for "about" how many years, we can round this to approximately 5.5 years.