Answer:
[tex] P =500, r = 0.036, t = 5 , n=4[/tex]
n=4 because we have a quarterly rate
After replace the values given we got:
[tex] A =500 (1+\frac{0.036}{4})^{4*5} = 598.127[/tex]
If we round this answer to the nearest number we got approximately $598 after 5 years.
Step-by-step explanation:
For this case we can ue the compund interest formula for the future value given by:
[tex] A = P(1 +\frac{r}{n})^{nt}[/tex]
Where P represent the initial amount , t the number of years and r the rate of interest on fraction. The value of n represent the number of times that the interest rate is compound in a year
For our case we have:
[tex] P =500, r = 0.036, t = 5 , n=4[/tex]
n=4 because we have a quarterly rate
After replace the values given we got:
[tex] A =500 (1+\frac{0.036}{4})^{4*5} = 598.127[/tex]
If we round this answer to the nearest number we got approximately $598 after 5 years.
