jasonlawrence5165 jasonlawrence5165
  • 11-02-2020
  • Business
contestada

Three years ago, you invested $2,750. Today, it is worth $3,500. What rate of interest did you earn?

Respuesta :

hyderali230
hyderali230 hyderali230
  • 11-02-2020

Answer:

Rate of interest is 8.37%

Explanation:

Future Value = [tex]PV(1+r)^{3}[/tex]

3,500 = 2750 [tex](1+r)^{3}[/tex]

[tex]\frac{3500}{2750}[/tex] = [tex](1+r)^{3}[/tex]

[tex]\sqrt[3]{\frac{3500}{2750}}[/tex] = [tex]\sqrt[3]{(1+r)^{3}}[/tex]

1.0837 = 1+r

r = 1.0837 - 1

r = 0.0837

r = 8.37%

Check:

3500 = 2750 [tex](1+0.0837)^{3}[/tex]

3500 = 3500

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