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In a certain bank, Angel invested P^(88),000 in a time deposit that pays 0.5% compound interest in a year. How much will be her money after 6 years? How much interest. will she gain?

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Final answer:

Angel's investment at 0.5% compound interest per year yields the total amount by the formula A = P(1 + r)^t. After calculating A, subtract the original investment to find the interest gained. The compound interest formula accounts for the principle amount, interest rate, compounding frequency, and investment period.

Step-by-step explanation:

Angel invested P88,000 in a time deposit with 0.5% compound interest per year. To calculate the total amount after 6 years, we use the compound interest formula: A = P(1 + r/n)nt, where A is the amount of money accumulated after n years, including interest, P is the principal amount, r is the annual interest rate, n is the number of times that interest is compounded per unit t, and t is the time the money is invested for in years.

In Angel's case, P = P88,000, r = 0.005 (0.5% expressed as a decimal), n = 1 (since the interest is compounded annually), and t = 6 years. Plugging these values into the formula, we get A = P88,000(1 + 0.005/1)1×6, which simplifies to A = P88,000(1.005)6.

Once we calculate A, to find out the interest gained, we subtract the principal (P88,000) from the accumulated amount A.

  • Calculate the total amount A after 6 years.
  • Calculate the total interest gained by subtracting the original principal from the total amount A.

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