Question 1165395
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It is a classic Ordinary Annuity saving plan. The general formula is 


    FV = {{{P*(((1+r)^n-1)/r)}}},    (1)


where  FV is the future value of the account;  P is the semi-annual payment (deposit); r is the semi-annual 
percentage yield presented as a decimal; n is the number of deposits (= the number of years multiplied by 2, in this case).


Under the given conditions, P = 750;  r = 0.08/2;  n = 2*10 = 20.  So, according to the formula (1), you get at the end of the 10-th year


    FV = {{{750*(((1+0.08/2)^(2*10)-1)/((0.08/2)))}}} = {{{750*((1.04^20-1)/0.04)}}} = $22,333.56.


Note that you deposit only  2*10*$750 = $15,000.  The rest is what the account earns/accumulates in 10 years.
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On Ordinary Annuity saving plans, &nbsp;see the lessons

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=http://www.algebra.com/algebra/homework/Sequences-and-series/Ordinary-Annuity-saving-plans-and-geometric-progressions.lesson>Ordinary Annuity saving plans and geometric progressions</A>

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/Sequences-and-series/Solved-problem-on-Ordinary-Annuity-saving-plans.lesson>Solved problems on Ordinary Annuity saving plans</A>

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