Suppose that 2900 is invested at an interest rate of 1.75% per year, compounded continuously. After how many years will the initial investment be doubled? Do not round any immediate computations, and round answer to the nearest hundred.

To determine how long it will take for an initial investment of $2900 to double with continuous compounding at an interest rate of 1.75% per year, we use the formula for continuous compounding:

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

where:
- $ A $ is the amount of money accumulated after $ t $ years, including interest.
- $ P $ is the principal amount (the initial amount of money).
- $ r $

Explore how long it takes for an initial investment of $2900 to double with continuous compounding at an interest rate of 1.75% per year. Learn the formula and step-by-step calculation process. Suitable for high school students learning about exponential growth and financial mathematics.

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