Question

If you have a choice to earn simple interest on $10,000 for three years at 8% or annually compounded interest at 7% for three years which one will pay more and by how much approximately?

a. Simple interest by $50.00
b. Compound interest by $22.97
c. Compound interest by $150.75
d. Compound interest by $150.00
e. None of the above.

Answer 1

e. non of the above

Step-by-step explanation:

we first find the simple interest

= p * r * t

= 10000*8%*3

= 2400

the future value

= 2400 + 10000

= 12400

we find the compound interest

= 10000*(1+r)^n

= 10000(1+7%)³

= 10000*1.225043

= 12250.43

we can see that it pays more at 12400 compared to compound interest of 12250.43

the difference = 12400 - 12250.43

= 149.57

therefore the answer is e