Answer:
Least interest amount = $900
Greatest interest amount = $2,160
Step-by-step 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% ( = 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% ( = 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% ( = 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.