Pablo borrowed $50,000 to start a business. Three years later, he repaid the $50,000 along with an interest of $9,375. What was the annual interest rate? Round your answer to two decimal places.

Respuesta :

Answer:

The annual interest rate is 5.89%.

Step-by-step explanation:

Principal =  $50,000

Interest = $9,375

Amount = Principal +interest

Amount = $50,000+$9,375

Amount = $59375

Time = 3 years

We are supposed to find the rate of interest

Formula : [tex]A=P(1+r)^t[/tex]

[tex]59375=50000(1+r)^3[/tex]

[tex]\frac{59375}{50000}=(1+r)^3[/tex]

[tex]1.1875=(1+r)^3[/tex]

[tex]\sqrt[3]{1.1875}=(1+r)[/tex]

[tex]1.0589=(1+r)[/tex]

[tex]1.0589-1=r[/tex]

[tex]0.0589=r[/tex]

[tex]0.0589 \times 100=r[/tex]

[tex]5.89\%=r[/tex]

Hence The annual interest rate is 5.89%.

Answer:

6.25%

Step-by-step explanation:

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