Earl invested 6,000 in a money market account that pays 5% interest quarterly. How much money will he have in his account after 3 years?

Answer:
The amount becomes $6964.53 after 3 years .
Step-by-step explanation:
Formula
[tex]Amount = P (1+\frac{r}{4})^{4t}[/tex]
Where P is the principle , r is the rate of interest in the decimal form and t is the time in the years .
As given
Earl invested 6,000 in a money market account that pays 5% interest quarterly for 3 years .
P = $6000
5% is written in the decimal form.
[tex]= \frac{5}{100}[/tex]
= 0.05
r = 0.05
t = 3 years
Putting all the values in the formula
[tex]Amount = 6000(1+\frac{0.05}{4})^{4\times 3}[/tex]
[tex]Amount = 6000(1+0.0125)^{12}[/tex]
[tex]Amount = 6000\times 1.16075452[/tex]
[tex]Amount =\$ 6964.53\ (Approx) [/tex]
Therefore the amount becomes $6964.53 after 3 years .