Cari just bought a house. She made a $35,000 down payment and financed the balance with a 30-year home mortgage loan with an interest rate of 5.75% compounded monthly. Her monthly mortgage payment is$877. What was the selling price of the house?

Suppose you want to buy a car. The dealer offers a financing package consisting of a 6% APR compounded monthly for a term of five years. Suppose that you want your monthly payments to be at most $320. What is the maximum amount that you should finance? Give your answer to the nearest dollar.

Find the equation for the conic in standard form. Hyperbola: center (-5,0), one focus is (-5,3), one vertex is (-5,2)

Simplify each expression. (Hint: Multiply before adding or subtracting.)

$$- 3 \left[ \begin{array} { r r r } { 4.2 } & { - 7.3 } & { 0.7 } \\ { 2.7 } & { - 9.3 } & { 11.8 } \\ { 3.6 } & { 8.2 } & { - 4.8 } \end{array} \right] - 2 \left[ \begin{array} { c c c } { 7.8 } & { - 4.1 } & { 9.4 } \\ { - 8 } & { 0 } & { 0.8 } \\ { - 1.4 } & { 5.9 } & { 3.3 } \end{array} \right]$$

Consider a retirement savings account where the monthly contribution is $100 for the first 20 years, is increased to$225 for the next 15 years, and then is increased once again to $425 for the last 10 years The APR is always 5,4% compounded monthly. What is the value of the account at the end of 45 years?

Find the value of a retirement savings account paying an APR of 5.4% (compounded monthly) after 40 years of monthly contributions (contributions made at the end of each month, including the last month) when the monthly contributions is (a) $100, (b)$50, (c) $150

Irene is buying new carpet for her rectangular family room. The room is 15 ft wide and 24 ft long. The carpeting is sold only in square meters. How many square meters of carpeting will she need? Round your answer to the nearest tenth of a square meter.

What should your monthly contribution be if your goal is to have $400,000 in your retirement savings account after 50 years? Assume the APR is 5.4% compounded monthly and that contributions are made at the end of each month, including the last month.

The Simpsons are planning to purchase a new home. To do so, they will need to take out a 30-year home mortgage loan of $\$ 160,000$ through Middletown Bank. Annual interest rates for 30-year mortgages at Middletown Bank are $5.75 \%$ compounded monthly.

How much interest will the Simpsons pay over the life of the loan?

Suppose you purchase a car and you are going to finance $14,500 for 36 months at an APR of 6% compounded monthly. Find the monthly payments on the loan.

Factor the polynomial.

$$3 z ^ { 2 } - 27$$

Make an appropriate u-substitution, and then use the Endpaper Integral Table to evaluate the integral.

$$\int \cos \sqrt { x } d x$$

Find the value of a retirement savings account paying an APR of 5.4% after 40 years (contributions made at the end of each year, including the last year) when the annual contribution is (a) $1200, (b)$600, (c) $1800

What does correlation tell you about the relationship between two variables?