Use the formula

Upper A equals Upper P e Superscript rtA=Pert

to determine the accumulated value when the interest is compounded continuously. Substitute the values of​ P, r​ (in decimal​ form), and t to determine the value of A. Check your work carefully.

The formula for continuous compounding is:

\[
A = P e^{rt}
\]

where:
- \( A \) is the accumulated value,
- \( P \) is the principal (initial investment),
- \( r \) is the interest rate in decimal form,
- \( t \) is the time in years,
- \( e \) is the base of the natural logarithm, approximately equal to 2.71828.

To proceed, I need values for \( P \), \( r \), and \( t \). Could you provide these values?

Afterward, I can substitute them and compute \( A \).

Use the formula A = Pe^(rt) to determine the accumulated value when the interest is compounded continuously. Substitute the values of P, r (in decimal form), and t to determine the value of A. Check your work carefully.

Learn how to calculate the accumulated value with continuous compounding using the formula A = Pe^(rt). This problem involves substituting values for principal, rate, and time to find the future value. Perfect for students learning about exponential growth and finance, suitable for Grades 10-12.

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