Final answer:
To calculate the future value of an investment with compound interest, we can use the formula: A = P(1+r)^n. Therefore, at the end of 4 years, Pasha will have approximately $51,961.19 in his savings account.
Step-by-step explanation:
To calculate the future value of an investment with compound interest, we can use the formula:
A = P(1+r)^n
Where:
- A represents the future value of the investment
- P is the initial amount invested or principal
- r is the annual interest rate in decimal form
- n is the number of years the money is invested for
In this case, Pasha invests $50,000 with an annual interest rate of 1.3% for 4 years. Plugging these values into the formula:
A = 50000(1+0.013)^4
A = 50000(1.013)^4
A ≈ 51961.19