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much is in the account at the end of 5 years? Round your answer to the nearest cent. Do NOT round until you calculate the final answer. Do not include the dollar sign.

User Qidong
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Final answer:

When calculating the total amount in an account over 5 years, it's crucial to use precise figures without rounding in intermediate steps and to round off only at the very end to the nearest cent, maintaining the original data's level of accuracy.

Step-by-step explanation:

When calculating the total amount in an account at the end of 5 years, it's essential to use precise figures throughout the calculation processes without rounding off in intermediate steps. This approach helps prevent accumulating rounding errors, which can significantly affect the final answer. In the provided context, although the specific interest calculation method (such as compound or simple interest) is not mentioned, one general formula you might use for simple interest is A = P(1 + rt), where A is the total amount, P is the principal amount, r is the annual interest rate, and t is the time in years. However, for compound interest, the formula differs as A = P(1 + r/n)^(nt), where n represents the number of compounding periods per year. You're expected to perform these calculations to many digits and round off only at the very end to the nearest cent according to the problem's instructions, and the data provided.

A simple way to round off answers is to carry your final answer one more decimal place than was present in the original data. This will help ensure that your final answer is as accurate as possible. Remember to apply the rules of significant figures for the operations you carried out, rounding to the correct number of digits at the very end of your calculations.

User Westonplatter
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