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If you deposit P dollars for five years at 2.6% interest compounded weekly, express the ending balance algebraically.

User Ulf Rompe
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Final answer:

The ending balance of a deposit with 2.6% interest compounded weekly for five years is found using the compound interest formula A = P(1 + r/n)^(nt), with r = 0.026 and n = 52.

Step-by-step explanation:

To calculate the ending balance of a deposit P dollars at 2.6% interest compounded weekly for five years, we can use the formula for compound interest:



A = P(1 + r/n)^(nt)



Where:








Since the interest is compounded weekly, there are 52 weeks in a year, so n = 52. The annual interest rate of 2.6% is converted to a decimal by dividing by 100, so r = 0.026.



Thus, the formula becomes:



A = P(1 + 0.026/52)^(52*5)



By substituting the values, we can find the ending balance algebraically for any initial deposit amount P.

User Taveras
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