jcoattes9730 jcoattes9730
  • 08-01-2020
  • Mathematics
contestada

Solve the problem. Round your answer to three decimals. What annual rate of interest is required to double an investment in 12 years?

Respuesta :

aristeus aristeus
  • 09-01-2020

Answer:

Rate of interest will be 4.42 %

Step-by-step explanation:

We have given time period n = 12 years

Let the principle amount is P

It is given that amount is doubled in 12 years

So amount after 12 years A = 2P

We know that amount is given by

[tex]A=P(1+\frac{r}{100})^n[/tex]

[tex]2P=P(1+0.01r)^{16}[/tex]

[tex](1+0.01r)^{16}=2[/tex]

[tex](1+0.01r)=2^{\frac{1}{16}}[/tex]

[tex](1+0.01r)=1.0442[/tex]

[tex]0.01r=0.0442[/tex]

[tex]r=4.42[/tex] %

So rate of interest will be 4.42 %

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