Problem 38 of 7
Rewrite exponential expression G(w)=50(1.02)^w for time unit change weeks to years.
Using a hint is okay. It just tells the trainer to give you a little more review.
Hidden until you reveal it.
use powers and roots.
Hidden until you reveal it.
Time-unit conversion must preserve equivalent exponential behavior.
Enter your answer
Your answer is equivalent to the expected form.
Walkthrough
Full solution stays hidden until you ask for it.
1. Determine how many old intervals fit in the new interval or vice versa.
2. Use powers for larger intervals and roots for smaller intervals.
3. Rewrite with the new input unit.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Dividing or multiplying the percent rate as an exact exponential conversion.