Noma plans to save $4,800 per year for the next 40 years. If she can earn an annual interest rate of 10.6 percent, how much will she have in 40 years

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Answer:

Total amount after 40 years = $2502371.012

Explanation:

Annual saving by Noma = $4800 per year

Total time period for saving = 40 years

Interest rate on savings = 10.6 percent

Now we have to find the amount that will be after 40 years if the annual saving is 4800 dollars that earns 10.6 percent interest rate.

[tex]\text{Total amount after 40 years} =Annuity [ \frac{(1+r)^{n} - 1}{r}] \\= 4800[ \frac{(1+ 0.106)^{40} - 1}{0.106}] \\= 2502371.012 \ dollars[/tex]

Total amount after 40 years = $2502371.021

Annual charge per unit

When the Annual saving by Noma = $4800 annually

Then the Total period for saving is = 40 years

After that charge per unit on savings = 10.6 percent

Now we've to seek out the quantity that may plan40 years if the annual saving is "4800 dollars, 10.64, annuity  that earns 10.6 percent charge per unit.

Then the Total amount after 40 year=

Annuity  [tex](1+r)n-1/r =4800 (1+0.106)40-1/0.106=250237[/tex]

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