Final answer:
To find out how much Olga will have in the account when she turns 18, we use the compound interest formula with the principal amount of $2,000, an annual interest rate of 1.75%, compounded monthly for 2 years.
Step-by-step explanation:
To calculate the future value of an investment with compound interest, we use the formula A = P(1 + \frac{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.
In Olga's case, the principal amount P is $2,000, the annual interest rate r is 1.75% or 0.0175 in decimal form, the interest is compounded monthly so n is 12, and the time t is 2 years.
The correct calculation is: A = 2000(1 + \frac{0.0175}{12})^{12*2} which gives us the future value of Olga's account when she turns 18.
It is important to ensure that all calculations are done correctly and the formula is applied accurately to avoid any errors in the final amount.