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Ahmed invests $1,500 at an interest rate of 4%, compounded quarterly. How much is the investment worth at the end of 6 years?

User Masadow
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1 Answer

6 votes

Final answer:

To find the value of Ahmed's investment at the end of 6 years, we can use the formula for compound interest.

Step-by-step explanation:

To find the value of Ahmed's investment at the end of 6 years, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where:

  • A is the final amount
  • P is the principal (initial investment)
  • r is the interest rate
  • n is the number of times interest is compounded per year
  • t is the number of years

Plugging in the given values:

  • P = $1,500
  • r = 4% = 0.04
  • n = 4 (compounded quarterly)
  • t = 6 years

Substituting these values into the formula:

A = $1,500(1 + 0.04/4)^(4*6)

Using a calculator, we can evaluate this expression to find that the investment is worth approximately $1,809.16 at the end of 6 years.

User Celeritas
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