Respuesta :
Answer:
The annual interest rate is 5.89%.
Step-by-step explanation:
Principal = Â $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%.