Determine, to the nearest tenth of a year, how long it would take an investment to double at a 3 3 4 % interest rate, compounded continuously

Respuesta :

Based on the interest rate and continuous compounding, the investment would double in value after 18.5 years.

When will the investment double in value?

The future value using continuous compounding is:

= Amount x e ^ (rate x time)

Interest is:

= 3.75%

To double, the formula is:

2 = e ^ (0.0375 x time)

In2 = 0.0375 x time

t = In2 / 0.0375

= 18.5 years

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