For the most recent fiscal year, eleven insurance companies provided the following market capitalization information (in millions of dollars): Determine the market capitalization 75th percentile.

$$\begin{array}{|lllllllllll|} \hline 15 & 17 & 23 & 26 & 27 & 35 & 72 & 88 & 91 & 98 & 102 \\ \hline \end{array}$$

In this exercise, decide whether the problem can be solved using precalculus, or whether calculus is required. If the problem can be solved using precalculus, solve it. If the problem seems to require calculus, explain your reasoning and use a graphical or numerical approach to estimate the solution.

Find the distance traveled in $15$ seconds by an object moving with a velocity of $v(t)=20+7 \cos t$ feet per second.

Match the terms with the definitions . Some terms may not be used.

___An offer to buy property accompanied by a deposit

a. contingencies

b. deed

c. earnest money offer

d. escrow closer

e. inspection report

f. prequalify

g. seller's acceptance

h. seller's counteroffer

i. title

j . title insurance

What precalculus formula and representative element are used to develop the integration formula for arc length?

The oxygen and nitrogen families have some obvious similarities and differences.
(a) State two general physical similarities between Group $5 \mathrm{~A}(15)$ and $6 \mathrm{~A}(16)$ elements.

Jake believes that his emotional well-being varies periodically with time t in such a way that the pattern is repeated every 28 days. That is, assuming his emotional state was neutral at birth, his emotional level t days later will be $E(t)=E_{0} \sin \left(\frac{2 \pi t}{28}\right)$ where $E_0$ is his peak emotional level. a. What will Jake's emotional level be on his 21st birthday? (Ignore leap years.) b. Jake also believes that his state of physical well-being follows a similar periodic pattern, only this time the pattern repeats itself every 23 days. If $P_0$ is Jake's peak level of physical well-being, find a formula for his physical state at time t and determine the level on his 21st birthday. c. How many days after Jake's 21st birthday should he expect his emotional and physical cycles to both be at peak levels?

Using properties of entropy, show that the only value for the universal constant C that satisfies the expression $S=k \ln W+C$ for all independent physical systems is C = 0.

Find the annual payment for homeowners insurance on the following homes. Use the information given in the chart on previous page to help you.

$$\begin{aligned} \begin{array}{lcc} \textbf{Area} && \textbf{Construction} && \textbf{Value of Dwelling}\\ \mathrm{D} && \text{Wood frame } && \$75,980 \end{array} \end{aligned}$$

In the sentence below, underline the pronoun in parentheses that agrees with its antecedent. Example 1. Four miles was how far we had hiked; ($\underline{\text{it}}$, they) didn’t take us very long.

Five dollars an hour for baby-sitting seems fair to me; (it, they) will help to pay for my car insurance.

Comic-book superheroes are sometimes able to punch holes through steel walls. Qualitatively, what would happen to the superhero on delivery of the punch? What physical law applies?

In Exercises, determine whether the problem can be solved using precalculus or if calculus is required. If the problem can be solved using precalculus, solve it. If the problem seems to require calculus, explain your reasoning. Use a graphical or numerical approach to estimate the solution.

Find the distance between the points $(1,1)$ and $(3,9)$ along the line $y=4 x-3$.

Find the amount to be paid by the insurance company in each of these situations. Use the table on the previous page to help you.

$$\begin{aligned} \begin{array}{lcc} \textbf{Policy Year in Which Death Occurs} && \textbf{Years of Mortgage} && \textbf{Amount of Morgage}\\ 5 && 25 && \$33,500 \end{array} \end{aligned}$$

Find the amount to be paid by the insurance company in each of these situations. Use the table on the previous page to help you.

$$\begin{aligned} \begin{array}{lcc} \textbf{Policy Year in Which Death Occurs} && \textbf{Years of Mortgage} && \textbf{Amount of Morgage}\\ 30 && 30 && \$95,800 \end{array} \end{aligned}$$

Decide whether the problem can be solved using precalculus or whether calculus is required. If the problem can be solved using precalculus, solve it. If the problem seems to require calculus, explain your reasoning and use a graphical or numerical approach to estimate the solution.

Find the distance traveled in $15$ seconds by an object traveling at a constant velocity of $20$ feet per second.