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?

Earl invested 6000 in a money market account that pays 5 interest quarterly How much money will he have in his account after 3 years class=

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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 .


Answer: $6964.53

Step-by-step explanation:

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