QUESTION IMAGE
Question
assume someone had $100,000 in their retirement account on 3/3/1/2013. the five year rate of 3.98% means that each year their initial balance will grow by 3.98%. to find out how much money they will have in their account five years later we can fill in the following table:
Step1: Calculate for 3/31/2013
- Initial Principal: $100,000$
- Interest: $100000\times3.98\%= 100000\times0.0398 = 3980$
- Ending Principal: $100000 + 3980=103980$
Step2: Calculate for 3/31/2014
- Initial Principal: $103980$
- Interest: $103980\times3.98\%=103980\times0.0398\approx4138.40$
- Ending Principal: $103980+4138.40 = 108118.40$
Step3: Calculate for 3/31/2015
- Initial Principal: $108118.40$
- Interest: $108118.40\times3.98\%=108118.40\times0.0398\approx4303.11$
- Ending Principal: $108118.40 + 4303.11=112421.51$
Step4: Calculate for 3/31/2016
- Initial Principal: $112421.51$
- Interest: $112421.51\times3.98\%=112421.51\times0.0398\approx4474.38$
- Ending Principal: $112421.51+4474.38 = 116895.89$
Step5: Calculate for 3/31/2017
- Initial Principal: $116895.89$
- Interest: $116895.89\times3.98\%=116895.89\times0.0398\approx4652.46$
- Ending Principal: $116895.89+4652.46=121548.35$
Step6: Calculate for 3/31/2018
- Initial Principal: $121548.35$
- Interest: $121548.35\times3.98\%=121548.35\times0.0398\approx4837.63$
- Ending Principal: $121548.35 + 4837.63=126385.98$
| Date | Initial Principal | Interest | Ending Principal |
|---|---|---|---|
| 3/31/2014 | $103980$ | $\approx4138.40$ | $108118.40$ |
| 3/31/2015 | $108118.40$ | $\approx4303.11$ | $112421.51$ |
| 3/31/2016 | $112421.51$ | $\approx4474.38$ | $116895.89$ |
| 3/31/2017 | $116895.89$ | $\approx4652.46$ | $121548.35$ |
| 3/31/2018 | $121548.35$ | $\approx4837.63$ | $126385.98$ |
Snap & solve any problem in the app
Get step-by-step solutions on Sovi AI
Photo-based solutions with guided steps
Explore more problems and detailed explanations
The filled - in table is shown above.