The supply $S(t)$ and demand $D(t)$ functions for a commodity are given in terms of the unit price $p(t)$ at time $t$. Assume that price changes at a rate proportional to the shortage $D(t)-S(t)$, with the indicated constant of proportionality $k$ and initial price $p_0$. In each exercise:

(a) Set up and solve a differential equation for $p(t)$.

(b) Fund the unit price of the commodity when $t=4$.

(c) Determine what happens to the price as $t \rightarrow \infty$.

$$S(t)=1+p(t) ; D(t)=2+8 e^{-k / 2} ; k=0.03 ; p_0=2$$

Answer the following questions in the negative. Pay attention to the articles.

What is the relationship between circumference and area in a 20 shape? What is the relationship between surface area and volume in a 30 shape?

Describe slavery in the British colonies

The supply $S(t)$ and demand $D(t)$ functions for a commodity are given in terms of the unit price $p(t)$ at time $t$. Assume that price changes at a rate proportional to the shortage $D(t)-S(t)$, with the indicated constant of proportionality $k$ and initial price $p_0$. In each exercise:

(a) Set up and solve a differential equation for $p(t)$.

(b) Fund the unit price of the commodity when $t=4$.

(c) Determine what happens to the price as $t \rightarrow \infty$.

$$S(t)=1+4 p(t) ; D(t)=15-3 p(t) ; k=0.015 ; p_0=3$$

Review in the Grammar/Mechanics Handbook. Then select the correctly punctuated sentence and record its letter in the space provided. Also record the appropriate $\mathrm{G} / \mathrm{M}$ guideline to illustrate the principle involved. When you finish, compare your responses with those provided at the bottom of the page. If your answers differ, study carefully the appropriate guideline.

a. We must negotiate short-term financing during the following months: October, November, and December.

b. We must negotiate short-term financing during the following months; October, November, and December.

You realize that Baby H.'s mother needs information about safety issues before being discharged. After a review of safety issues, which statement by Baby H.'s mother indicates that she needs further instruction?
a. "I have a car seat and will use it for my baby every time we use the car:'
b. "I can leave him on the infant table for just a few moments while he is a newborn:
c. "I will not drink hot coffee while holding my babY'
d. "I will check the bath water temperature before bathing him:

Discuss each of the following topics in class or review the topics on your own. Then write a brief but complete essay in which you answer the following questions. What is an alternate hypothesis $H_{1}$

Briefly explain the significance of slavery.

How did the Missouri Compromise affect the Louisiana Territory? A. It banned slavery in all-of the territory. B. It allowed slavery in all of the territory. C. It banned slavery in part of the territory and allowed it in another. D. It left the question of slavery in the territory undecided.

The U.S. Coast Guard maintains a database of the number, source, and location of oil spills in U.S. navigable and territorial waters. The following is a probability distribution for location of oil spill events.

$$\begin{array}{l|c} \hline \text { Location } & \text { Probability } \\ \hline \text { Atlantic Ocean } & 0.008 \\ \text { Pacific Ocean } & 0.037 \\ \text { Gulf of Mexico } & 0.233 \\ \text { Great Lakes } & 0.020 \\ \text { Other lakes } & 0.002 \\ \text { Rivers and canals } & 0.366 \\ \text { Bays and sounds } & 0.146 \\ \text { Harbors } & 0.161 \\ \text { Other } & 0.027 \\ \hline \end{array}$$

Apply the special addition rule to find the percentage of oil spills in U.S. navigable and territorial waters that a. occur in an ocean. b. occur in a lake or harbor. c. do not occur in a lake, ocean, river, or canal.

An automobile ski rack is sold to stores at a wholesale price of $38. If a store has a$23 markup, what is the retail price of the ski rack? Find the percent of the markup, to the nearest percent.

Review the Grammar/Mechanics Handbook. Then select the correctly punctuated sentence and record its letter in the space provided. Also, record the appropriate $\mathrm{G} / \mathrm{M}$ guideline to illustrate the principle involved. When you finish, compare your responses with those provided at the bottom of the page. If your answers differ, study carefully the appropriate guideline.

a. As a matter of fact, the report said that America's productivity resulted from a capitalistic system of unprotected, hands-off competition.

b. As a matter of fact, the report said that America's productivity resulted from a capitalistic system of unprotected hands-off competition.

What are the three steps for solving numeric problems? a. _____ b. _____ c. _____