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If is invested at per year compounded monthly, the future value at any time (in months) is given by . what is the amount after year

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Final answer:

The question pertains to calculating the future value of an investment after one year using the compound interest formula. Specific principal amount and annual interest rate values are required for a precise calculation, which involves adjusting the formula for monthly compounding.

Step-by-step explanation:

The question seems to be about calculating the future value of an investment using a compound interest formula over a specified period. In this case, the investment period is one year. Using the formula Future Value = Principal × (1 + interest rate)^{time}, we can determine how much the initial investment will grow after one year, factoring in the compounding of interest.

For a more precise calculation, we would need the exact principal amount and the annual interest rate. Without these, we cannot provide a specific numerical answer. However, if we assume a principal amount and an annual interest rate, we can apply the formula by dividing the annual rate by 12 to get the monthly rate and raising it to the power of 12 for the 12 months in a year.

For example, if someone invests $1,000 at an annual interest rate of 6% compounded monthly, the future value after one year would be calculated as $1,000 × (1 + 0.06/12)^{12}. Still, the exact figures would be necessary for a definitive answer.

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