Question

Drag the descriptions of each loan into order, from which will have the least simple interest owed to which will have the most simple interest owed.

Loan of $2,000 at 12% simple interest for 9 years

Loan of $2,500 at 12% simple interest for 3 years

Loan of $2,500 at 5% simple interest for 9 years


Least Interest Amount




Greatest Interest Amount

Answer 1

loan of $2,500 at 12% simple interest for 3 years is = least interest amount

loan of $2000 at 12% for 9 years is = Greatest interest amount

Answer 2

Least interest amount = $900

Greatest interest amount = $2,160

Explanation:

To find out which will have the least simple interest owed to which will have the most simple interest owed, We have to calculate the interest of each loan.

To calculate the simple interest we use the formula:

Interest = Prt

Where P = Principal

r = rate of interest in decimal

t = time in years.

(1) Loan of $2,000 at 12% simple interest for 9 years.

Principal = 2,000 Rate of interest = 12% (
`(12)/(100)` = 0.12) t = 9

I = 2000 × 0.12 × 9 = $2,160

(2) Loan of $2,500 at 12% simple interest for 3 years.

Principal = 2,500 Rate of interest = 12% (
`(12)/(100)` = 0.12) t = 3

I = 2,500 × 0.12 × 3 = $900

(3) Loan of $2,500 at 5% simple interest for 9 years.

Principal = 2,500 Rate of interest = 5% (
`(5)/(100)` = 0.05) t = 9

I = 2,500 × 0.05 × 9 = $1,125

Least interest amount is $900 of the loan of 2,500 at 12% for 3 years

Greatest interest amount is $2,160 of the loan of 2,000 at 12% for 9 years.