Graph each equation by determining the basic function and then using transformations.

$$y=\frac{1}{4} x^3-2$$

You worked 38 hours waiting tables at a restaurant last week, earning $8.75 per hour. In addition, you received$326.86 in tips for the week. How much money did you make per hour, including tips?

Your parents are retiring and want to set aside a lump sum earning $8 \%$ annual interest compounded quarterly to pay out $\$ 5,000$ quarterly for ten years. What lump sum should your parents set aside today?

Consider making monthly deposits of P dollars in a savings account earning an annual interest rate r. Find the balances A after t years when the interest is compounded (a) monthly and (b) continuously. $P=\$ 20, r=6 \%, t=50 \text { years }$

Which of the following is a basic requirement of plants?

A sunlight

B carbon dioxide

C water

D all of the above

When a formic acid solution is titrated with sodium hydroxide, will the solution be acidic, neutral, or basic at the equivalence point?

Poder is also the Spanish word for power. How are the two definitions - to be able to and power - related?

Look at where sodium, calcium, and magnesium are on the periodic table.

(a) Use what you know about how basic sodium hydroxide, calcium hydroxide, and magnesium hydroxide are to predict how basic the compound potassium hydroxide is.

(b) Would you likely use potassium hydroxide to neutralize an acidic lake? Explain.

Twenty annual payments of 5000 dollars each, with the first payment one year from now, are to be made from an account earning 10% per year, compounded annually. How much must be deposited now to cover the payments?

Decide whether the following conditions would cause urine to become more acidic or more basic. If more acidic, insert an $A$ in the blank; if more basic, insert a $B$ in the blank.

1. Protein-rich diet

2. Bacterial infection

3. Starvation

4. Diabetes meliitus

5. Vegetarian diet

Use basic integration formulas to compute the following antiderivatives. $\int_{0}^{\pi}(\sin x-\cos x) d x$

Find the total average power and the total reactive power supplied by the source for the given figure.

Sleek Sneakers Co. is one of many firms in the market for shoes.

Assume that Sleek is currently earning short-run economic profits. On a correctly labeled diagram, show Sleek’s profit-maximizing output and price, as well as the area representing profit.

How do you say: "two to the third power" or "two to the power of three"?