Bob Rowinski made a $4,000 deposit to a savings account paying 1.6% annual interest compounded semiannually . If he kept the money on deposit for 6 months, what would his account balance be after the interest payment is made?

The Floral Place made this deposit: 72 twenties, 126 tens, 57 fives, 235 ones; 287 quarters, 312 dimes, 48 nickels, 347 pennies; and checks for $124.68,$132.08, $1.29,$5.79. They received no cash back. Find the total of the deposit.

All-Sports Trophies made this deposit: 6 hundreds, 14 fifties; and checks for $85,$23.50, $32,$45, $17.50,$147, $17.27,$32.25, $65. They got cash back of 50 one-dollar bills, 20 five-dollar bills, 10 ten-dollar bills, and 8 twenty-dollar bills. Find the total deposit.

Find the sum.

1. $842 +$32.89

The problem is complex financial problems that require several skills, perhaps some from previous sections.

Clark and Lana take a $30$-year home mortgage of $\$ 121,000$ at $7.8 \%$ compounded monthly. They make their regular monthly payments for $5$ years, then decide to pay $\$ 1000$ per month.

(a) Find their regular monthly payment.

(b) Find the unpaid balance when they begin paying the $\$ 1000$.

( c ) How many payments of $\$ 1000$ will it take to pay off the loan? Give the answer correct to one decimal place.

(d) Use your answer to part ( c ) to find how much interest they save by paying the loan this way.

Find the average of $0.90,$0.42, $0.78,$0.13, and $1.25 to the nearest cent.

Solve:

$$100,000 \times \$32.18$$

Find the product and round.

$$\$984 \times 0.026$$

Evaluate the integral.

$$\int_{0}^{2}\int_{0}^{y}xy\ dx\ dy$$

Find the sum or difference.

$274.65 -$110.38

Let $f(x,y)=x^3+y^2-e^{-x}-1$.

(A) Find the average value of $f(x,y)$ over the rectangle

$$R=\{(x,y)|-2\leq{x}\le2,-2\leq{y}\leq2\}$$

(B) Graph the set of all points $(x, y)$ in $R$ for which $f(x,y)=0$.

(C ) For which points $(x,y)$ in $R$ is $f(x,y)$ greater than $0$? Less than $0$? Explain.

Use a spreadsheet or financial program on a calculator or computer to complete the problems.

Develop an amortization schedule for a $10$-year mortgage loan of $\$ 80,000$ at $7.2 \%$ compounded monthly.

Find the sum or difference.

$17,800.23 -$2,893.98

What difference does $0.5 \%$ make on a loan? To explore this question, find (to the nearest dollar) the monthly payment and total interest paid over the life of the loan for each of the following.

(a) An auto loan of $\$ 15,000$ at $8.0 \%$ versus $8.5 \%$, both compounded monthly for $4$ years.

(b) A mortgage loan of $\$ 80,000$ at $6.75 \%$ versus $7.25 \%$, both compounded monthly for $30$ years.

( c ) A mortgage loan of $\$ 80,000$ at $8.0 \%$ versus $8.5 \%$, both compounded monthly for $30$ years.