At what annual interest rate must $2,000 be invested to grow to $3,000 in 5 years? \( a. \quad r = \left(\frac{$3,000}{$2,000}\right)^{\frac{1}{5}} - 1 = 8.45 \) \( b. \quad r = \left(\frac{$3,000}{$2,000}\right)^{\frac{1}{5}} = 1.0845 \) \( c. \quad r = \left(\frac{$3,000}{$2,000}\right)^{5} - 1 = 8.45 \) \( d. \quad r = \left(\frac{$3,000}{$2,000}\right)^{5} - 1 = 6.59 \)
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Step 1: The formula for compound interest is A = P(1 + r/n)^(nt), where A is the amount of money after t years, P is the principal amount, r is the annual interest rate, n is the number of times that interest is compounded per year, and t is the time in years. Show more…
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