The future value of a $350 investment at an annual interest rate of 2.3% for 10 years (compounded annually) is approximately $441.60.
To calculate the future value of an investment with compound interest, you can use the formula:
![\[ FV = P * \left(1 + (r)/(n)\right)^(nt) \]](https://img.qammunity.org/2024/formulas/mathematics/high-school/oiftabm44t5bi2xloqijc6rjnd07qadby4.png)
where:
- FV is the future value,
- P is the principal amount (initial investment),
- r is the annual interest rate (in decimal form),
- n is the number of times interest is compounded per year,
- t is the number of years.
In this case:
- P = $350,
- r = 0.023 (2.3% as a decimal),
- n is not specified, so let's assume it's compounded annually (n = 1),
- t = 10 years.
Substitute these values into the formula:
![\[ FV = 350 * \left(1 + (0.023)/(1)\right)^(1 * 10) \]](https://img.qammunity.org/2024/formulas/mathematics/high-school/8vnekhyjfibryrmaihja8yckouweaoecc6.png)
![\[ FV = 350 * (1.023)^(10) \]](https://img.qammunity.org/2024/formulas/mathematics/high-school/bxvypta4hirim494b79xkb9jlevm5yh2m0.png)
Calculating this gives the future value:
![\[ FV \approx 350 * 1.2617 \]](https://img.qammunity.org/2024/formulas/mathematics/high-school/uptko915ug8oxk0glvu7bzt6vrkw16vu5v.png)
![\[ FV \approx 441.595 \]](https://img.qammunity.org/2024/formulas/mathematics/high-school/fjuqc1op8yidwwc8jlel34w6ehu9d0slhd.png)
So, the future value of a $350 investment at an annual interest rate of 2.3% for 10 years (compounded annually) is approximately $441.60.
The probable question may be:
Calculate the future value of a $350 investment at an annual interest rate of 2.3% for 10 years?