Math Problem Statement

What is the total amount you have to pay in 2 years if you borrow P10,000.00 at a simple interest rate of 8% per year?

Solution

To calculate the total amount to be paid on a loan with simple interest, we use the formula:

A=P(1+rt)A = P(1 + rt)

Where:

  • AA is the total amount to be paid,
  • PP is the principal (the amount borrowed),
  • rr is the annual interest rate (in decimal form),
  • tt is the time in years.

Given:

  • P=10,000.00P = 10,000.00,
  • r=8%=0.08r = 8\% = 0.08,
  • t=2yearst = 2 \, \text{years}.

Now substitute these values into the formula:

A=10,000(1+0.08×2)A = 10,000(1 + 0.08 \times 2) A=10,000(1+0.16)=10,000(1.16)=11,600A = 10,000(1 + 0.16) = 10,000(1.16) = 11,600

So, the total amount to be paid after 2 years is P11,600.00.

Would you like more details or have any questions?

Here are 5 related questions to explore further:

  1. How do you calculate compound interest for 2 years?
  2. What if the interest rate were compounded quarterly?
  3. How is simple interest different from compound interest?
  4. How would the total amount change if the interest rate were 5% instead of 8%?
  5. What is the total interest paid in the above example?

Tip: Always make sure to differentiate between simple and compound interest to avoid confusion in financial calculations.