# a) The amount of money invested each year.Given: Annual incone is $65000.Number of year is 30.Future Value is$2000000.b) The amount of money each should invest annualy.Saving is 3\%.

a) The amount of money invested each year.
Given: Annual incone is $65000. Number of year is 30. Future Value is$2000000.
b) The amount of money each should invest annualy.
Saving is $$\displaystyle{3}\%$$.

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Calculation:
Write the expression for future value.
$$\displaystyle{F}={A}{\frac{{{\left({\left({1}+{i}\right)}^{{{n}}}-{1}\right)}}}{{{i}}}}$$ .......(I)
Here, the future value is F, the annual investment is A, the interest rate is i and the number of period is n.
The interest rate for stock fund is $$\displaystyle{7.3}\%$$.
Substitute $2000000 for F and 0.073 for i and 30 for n in Equation (I). $$\displaystyle\{2000000}={A}{\frac{{{\left({\left({1}+{0.073}\right)}^{{{30}}}-{1}\right)}}}{{{0.073}}}}$$ $$\displaystyle{A}={\frac{{\{2000000}}}{{{99.72}}}}$$ $$\displaystyle{A}=\{20056}$$ Conclusion: Thus, the amount of money invested each year is$20056.
Calculation:
Calculate the amount contributed each year by the employer.
$$\displaystyle{A}_{{{E}}}=\{65000}\times{3}\%$$
$$\displaystyle=\{65000}\times{0.03}$$
$$\displaystyle=\{1950}$$
Calculate the amount invested by the employer.
$$\displaystyle{A}_{{\exists}}={A}-{A}_{{{E}}}$$ .......(II)
Here, the annual amount to be invested is A, the annual amount invested by the employer is $$\displaystyle{A}_{{{E}}}$$ and the annual amount invested by the employee is $$\displaystyle{A}_{{\exists}}$$.
Substitute $20056 for A,$1950 for $$\displaystyle{A}_{{{E}}}$$ in Equation (II).
$$\displaystyle{A}_{{\exists}}=\{20056}-\{1950}$$
$$\displaystyle=\{18106}$$
Conclusion:
Thus, the amount invested by the employer annually is $1950. The amount invested by the employee annually is$18106.