A student wishes to accumulate $\$100,000$ in education fund at the end of 20 years. If he deposit $\$1000+X$ in the fund at the end of each of the first 10 years and $\$1000+2X$ in the fund of each of the second 10 years, find X if the fund earns $6\%$ effective per year.
Ans: $\frac{100,000-1000s_{\bar{20}}}{s_{\bar{20}}+s_{\bar{10}}}$
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