High School

How much money is in your account after applying a 1.42% interest rate?

[tex]3700\left(1 + \frac{0.0142}{1}\right)^3[/tex]

Answer :

Final answer:

To calculate the amount of money in your account after a certain period of time with compound interest, you can use the formula: P(1+r/n)^(nt). In this case, the amount of money in the account is $3,858.29.

Explanation:

To calculate the amount of money in your account after a certain period of time with compound interest, you can use the formula: P(1+r/n)^(nt), where P is the initial amount of money, r is the interest rate (in decimal form), n is the number of times the interest is compounded in a year, and t is the number of years.

In this case, the initial amount of money is 3700, the interest rate is 1.42% (0.0142 in decimal form), and the interest is compounded once a year. So, the formula becomes:

3700(1+0.0142/1)^3 = 3700(1.0142)^3 = 3700(1.043159284) = $3,858.29