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.

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.