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Finding the future value

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Decide whether the following statement makes sense (or is clearly true) or does not make sense (or is clearly false). Explain your reasoning. If interest rates stay 5% apr and I continue to make my monthly $75 deposits into my retirement plan, I should have at least $40,000 saved when I retire in 25 years.

The statement______ because I will have $_______ in my retirement account when I retire in 25 years.

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Solution Summary

The solution consists of details of finding the future value of an account if depositing $75 monthly for 25 years.

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As the annual percentage rate (APR) is R=5%=0.05, if we compound monthly, then the rate would be r=R/12=0.05/12=0.004167.

For $5$, after 25 years (300 months), it ...

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  • BSc , Wuhan Univ. China
  • MA, Shandong Univ.
Recent Feedback
  • "Your solution, looks excellent. I recognize things from previous chapters. I have seen the standard deviation formula you used to get 5.154. I do understand the Central Limit Theorem needs the sample size (n) to be greater than 30, we have 100. I do understand the sample mean(s) of the population will follow a normal distribution, and that CLT states the sample mean of population is the population (mean), we have 143.74. But when and WHY do we use the standard deviation formula where you got 5.154. WHEN & Why use standard deviation of the sample mean. I don't understand, why don't we simply use the "100" I understand that standard deviation is the square root of variance. I do understand that the variance is the square of the differences of each sample data value minus the mean. But somehow, why not use 100, why use standard deviation of sample mean? Please help explain."
  • "excellent work"
  • "Thank you so much for all of your help!!! I will be posting another assignment. Please let me know (once posted), if the credits I'm offering is enough or you ! Thanks again!"
  • "Thank you"
  • "Thank you very much for your valuable time and assistance!"
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