Stop-n-Shop operates a downtown parking lot containing 800 parking spaces. The lot is open 2,500 hours per year. The parking charge per car is 50 cents per hour; the average customer parks two hours. Stop-n-Shop rents the lot from a development company for $\$ 7,250$ per month. The lot supervisor is paid $\$ 24,000$ per year. Five employees who handle the parking of cars are paid $\$ 300$ per week for 50 weeks, plus $\$ 600$ each for the two-week vacation period. Employees rotate vacations during the slow months when four employees can handle the reduced load of traffic. Lot maintenance, payroll taxes, and other costs of operating the parking lot include fixed costs of $\$ 3,000$ per month and variable costs of 5 cents per parking-space hour.

b. What is the contribution margin ratio? What is the annual break-even point in dollars of parking revenue?

If f is even and g is odd, what can you say about f g? If f and g are odd, what can you say about f g?

Answer the following question.

How do you evaluate $\int \sin ^m x \cos ^n x d x$ if $m$ is odd? What if $n$ is odd? What if $m$ and $n$ are both even?

A square parking lot has an area of $(4 x^2+20 x+25) ft^2$. Determine the length of one side of the parking lot.

F (2x + 5) ft

G (2x + 10) ft

H (5x + 4) ft

J (5 x+2) ft

Determine whether the given polynomial function $f$ is even, odd, or neither even nor odd. Do not graph.

$$f(x)=-2 x^3+4 x$$

Determine whether the following statements are true and give an explanation or counterexample.

If f(x) is an odd function, then f(x) + d is an odd function, where d is a real number.

If possible, sketch parabolas that satisfy each of the following conditions: a. An even function. b. An odd function. c. Neither even nor odd.

How many different samples of $4$ objects can be drawn from a lot of $50$ objects?

Wilma bought 4 boxes of Crunch-A-Lot cereal. One out of every 5 boxes has a coupon for a free box of Crunch-A-Lot. What is the probability that Wilma got 3 coupons? What is the probability that Wilma got at least 2 coupons?

Analyze If a number is prime, then it is odd.

Determine whether the function $f$ is even, odd. or neither. If $f$ is even or odd, use symmetry to sketch its graph.

$f(x)=1-\sqrt[3]{x}$

Explore even and odd-degree polynomial functions. Does an odd-degree function have to have a minimum number of real zeros? Explain.

Express regularity in repeated reasoning. Make some conjectures about the sums of even and odd integers. Calculate the sum of some pairs of odd integers. Show the examples you use and make a conjecture about the sum of two odd integers.

If f is odd, show that g(x)=f(x) cos x is odd and h(x)=f(x) sin x is even. If f and g are even, what can you say about f g?