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If you save $3,000 at an interest rate of 14 percent per year, how much will you have at the end of six years? The interest should be compounded.

a) $55,805.96
b) $56,502.34
c) $56,584.91
d) $57,000.00

1 Answer

3 votes

Final answer:

After calculating the compounded interest using the appropriate formula, it is determined that $3,000 saved at a 14% annual interest rate compounded yearly will amount to $6,092.57 after six years. None of the provided answers match this correct amount.

Step-by-step explanation:

To determine how much you will have at the end of six years when you save $3,000 at an interest rate of 14 percent per year, compounded annually, you can use the compound interest formula:


A = P(1 + r/n)nt


Where:

  • A is the amount of money accumulated after n years, including interest.
  • P is the principal amount (the initial amount of money).
  • r is the annual interest rate (decimal).
  • n is the number of times that interest is compounded per year.
  • t is the time the money is invested for in years.


For your question:

  • P = $3,000
  • r = 14% or 0.14
  • n = 1 (since it is compounded annually)
  • t = 6 years


Now, we substitute these values into the formula:


A = 3000(1 + 0.14/1)1*6


A = 3000(1 + 0.14)6


A = 3000(1.14)6


A = 3000 * 2.030856


A = $6,092.57 (rounded to two decimal places)


Therefore, none of the options given match the correct answer, as $6,092.57 is not one of the choices provided.

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