Complete the table to determine the balance A for $21,000 invested at rater = 5% for t years, compounded continuously.Step 1Write the formula for continuously compounded interest in terms of the principal investment P, the rate r, and time t.
Question
Complete the table to determine the balance A for $21,000 invested at rater = 5% for t years, compounded continuously.Step 1Write the formula for continuously compounded interest in terms of the principal investment P, the rate r, and time t.
Solution
The formula for continuously compounded interest is given by the equation:
A = Pe^(rt)
Where: A is the final amount that will be accumulated after t years. P is the principal amount (the initial amount of money). r is the annual interest rate (in decimal form, so 5% would be 0.05). t is the time the money is invested for in years. e is the base of the natural logarithm, approximately equal to 2.71828.
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