9) Morgan has an investment worth $130,000 dollars after 20 years. If his original
investment was for $50,000 what must the interest rate have been?

Respuesta :

Answer:

.054 interest rate (not it percentage)

Step-by-step explanation:

[tex]A=Pe^{rt}[/tex]

A = future value: $130,000

P = principal (initial) value: $50,000

r = interest rate: unknown value

t = time: 20 years

[tex]130,000=50,000e^{r*20}[/tex]

Answer : The interest rate have been 8 %

Step-by-step explanation :

First we have to calculate the simple interest.

As we know that:

Simple interest = Total amount - Principle

Simple interest = $130,000 - $50,000

Simple interest = $80,000

Now we have to calculate the interest rate.

Using simple interest formula:

[tex]S.I=\frac{PRT}{100}[/tex]

where,

S.I = simple interest = $80,000

P = principle = $50,000

R = interest rate = ?

T = time = 20 years

Now put all the given values in the above formula, we get:

[tex]\$ 80,000=\frac{\$ 50,000\times R\times 20years}{100}[/tex]

[tex]R=\frac{\$ 80,000\times 100}{\$ 50,000\times 20years}[/tex]

[tex]R=8\%[/tex]

Therefore, the interest rate have been 8 %