Final answer:
To calculate the final balance in an account after 7 years with an interest rate of 4.9% compounded monthly, the compound interest formula is used, substituting the appropriate values for principal, rate, time, and the number of compounding periods.
Step-by-step explanation:
The subject of this question is Mathematics, specifically dealing with the concept of compound interest. To find the final balance in an account with a principal amount of $2696, an annual interest rate of 4.9% compounded monthly, and over a period of 7 years, we can use the compound interest formula:
A = P(1 + rac{r}{n})^{nt}
Where:
- A is the amount of money accumulated after n years, including interest.
- P is the principal amount (the initial amount of money).
- r is the annual interest rate (decimal).
- n is the number of times that interest is compounded per year.
- t is the time the money is invested for, in years.
Using these values:
A = $2696(1 + rac{0.049}{12})^{12*7}
After calculating the above expression, we can determine which of the provided options (A) $3,000.42, (B) $3,184.58, (C) $2,968.75, or (D) $2,865.91 corresponds to the final account balance after 7 years.