Ask Question
11 October, 09:29

Elizabeth Brown wants to accumulate $8,000 by the end of 12 years. If the annual interest rate is 7.30 percent and interest compounded semi annually, how much will she have to invest today to achieve her goal?

+4
Answers (1)
  1. 11 October, 11:26
    0
    She will invest approximately $3,383.97

    Explanation:

    Formula for compound interest:

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

    Where: A = Final amount

    P = Principal amount

    r = Interest rate

    n = Number of compounding periods per year

    t = Time period in years.

    A = $8,000

    P = Unknown

    r = 7.30 percent = 7.3% = 0.073

    n = semi annually = 2

    t = 12 years

    8,000 = P (1 + 0.073/2) ^2 (12)

    8,000 = P (1 + 0.0365) ^24

    8,000 = P (1.0365) ^24

    8,000 = 2.364086453P

    Divide both sides by the coefficient of P

    8,000/2.364086453 = 2.364086453P/2.364086453

    3,383.971001 = P

    P ≈ $3,383.97

    That is Elizabeth Brown will invest approximately $3,383.97 to achieve her goal
Know the Answer?
Not Sure About the Answer?
Get an answer to your question ✅ “Elizabeth Brown wants to accumulate $8,000 by the end of 12 years. If the annual interest rate is 7.30 percent and interest compounded semi ...” in 📙 Business if there is no answer or all answers are wrong, use a search bar and try to find the answer among similar questions.
Search for Other Answers