Problem 90 of 7
Find the number of periods needed to reach monthly deposits of $200 into an account earning 6% annual interest compounded monthly reach $10,000.
Using a hint is okay. It just tells the trainer to give you a little more review.
Hidden until you reveal it.
solve geometric series equation with logs/technology.
Hidden until you reveal it.
Solve a geometric-series target equation with logs or technology.
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Your answer is equivalent to the expected form.
Walkthrough
Full solution stays hidden until you ask for it.
1. Set the finite-series model equal to or beyond the target.
2. Isolate the exponential term when possible.
3. Use logs or technology to solve for n.
4. Round according to the context.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Rounding down when the target must be reached or exceeded.