Meg deposited a $3,000 bonus check in a new savings account. The account has an interest rate of 3% for 5 years. The interest is compounded daily. How much money did Meg have at the end of the account term? (Round your answer to the nearest dollar.)

Respuesta :

Answer:

The $3485.52 money did Meg have at the end of the account term.

Step-by-step explanation:

Formula for compounded monthly

[tex]Amount = P(1+\frac{r}{365})^{365n}[/tex]

Where P is the principle , r is the rate of interest in the decimal form and n is the number of years.

As given

Meg deposited a $3,000 bonus check in a new savings account. The account has an interest rate of 3% for 5 years.

Principle = $3000

3% is written in the decimal form

[tex]= \frac{3}{100}[/tex]

= 0.03

Time = 5 years

Put in the formula

[tex]Amount = 3000(1+\frac{0.03}{365})^{365\times 5}[/tex]

[tex]Amount = 3000(1+\frac{0.03}{365})^{1825}[/tex]

[tex]Amount = 3000(1+\frac{0.03}{365})^{1825}[/tex]

[tex]Amount = 3000(1+ 0.0000822)^{1825}[/tex]

[tex]Amount = 3000(1.0000822)^{1825}[/tex]

[tex]Amount = 3000\times 1.16184[/tex]

Amount = $ 3485.52

Therefore the  $ 3485.52  money did Meg have at the end of the account term.




Answer:

The Answer is $3,485 btw

Step-by-step explanation:

Answer C