Question
What was the term of a 4850 last at 4.5% if the interest due at the end was 145.50 (Do not round intermediate calculations. Round your answer to the nearest whole number) Term ofloan square months
Solution
4
(236 Votes)
Freya
Elite ยท Tutor for 8 years
Answer
### 8
Explanation
## Step 1: Convert the interest rate to a decimal### The interest rate is given as 4.5%, which is equivalent to 0.045 in decimal form. This is done by dividing the percentage by 100.## Step 2: Calculate the annual interest### We use the simple interest formula,
, where
is the interest,
is the principal,
is the rate, and
is the time in years. We are given
145.50
P = \
, and
. We want to find
. So,
.## Step 3: Solve for the time in years### Divide both sides of the equation by
to isolate
. This gives
years.## Step 4: Convert the time to months### Multiply the time in years by 12 to get the time in months.
months.