Tia has the following insurance coverages on her car:

Comprehensive physical damage

Bodily injury and property liability (100/200/25)

Collision ($250 deductible)

As a result of an accident in which she was negligent, the driver of the other car was awarded$9,800 for injuries and $2,100 in damages to his car. Tia 's auto was damaged at a cost of$820. Her medical bills were $135. How much did the insurer have to pay in claims as a result of the accident? What is the maximum the policy would pay for injuries to the other driver?

Solve

Joe Norstrom lost $\$ 400$ on each of seven consecutive days in the stock market. Represent his total loss as a product of signed numbers and find his total loss.

Your friend Luis is complaining about the high cost of car insurance. He would like to own his own car, but at age 19, he feels he can't afford the insurance premiums. Explain how he can reduce insurance premiums.

In 2012, U.S. consumption of renewable energy was 8.45 quadrillion Btu (or $8.45 \times 10^{15} \mathrm{Btu}$ ). since the 1960 s, consumption has been growing at a rate (in quadrillion Btu per year) given by $f^{\prime}(t)=0.004 t+0.062$ where t is years after 1960. Find f(t) and estimate U.S. consumption of renewable energy in 2024.

Thomas receives a bill for $\$ 2700$ for an out-patient procedure at a local clinic. His health insurance has a $\$ 1500$ deductible and a $\$ 200$ co-payment for the procedure. The insurance company pays $80 \%$ of the remaining balance. How much of the cost does the insurance company cover? a. $\$ 2700$ b. $\$ 1500$ c. $\$ 800$

What amount of loss did the insurance company pay?

An insurance company will insure a $\$ 50,000$ diamond for its full value against theft at a premium of $\$ 400$ per year. Suppose that the probability that the diamond will be stolen is $.005$, and let $x$ denote the insurance company's profit.

Calculate the insurance company’s expected profit.

Revenue function. The weekly marginal revenue from the sale of $x$ pairs of tennis shoes is given by

$$R'(x)=40-0.02x+\frac{200}{x+1}\qquad R(0)=0$$

where $R(x)$ is revenue in dollars. Find the revenue function. Find the revenue from the sale of $1,000$ pairs of shoes.

The weekly marginal revenue from the sale of x pairs of tennis shoes is given by $R^{\prime}(x)=40-0.02 x+\frac{200}{x+1} \quad R(0)=0$ where R(x) is revenue in dollars. Find the revenue function. Find the revenue from the sale of 1,000 pairs of shoes.

In 2010, the United States alone accounted for 20.2% of the world’s total energy consumption, using 103.3 quadrillion British thermal units (Btu). What was the world’s energy consumption in 2010? Round to the nearest quadrillion.

Find the indefinite integral. (Check by differentiation.)

$$\displaystyle{\int}\frac{1-y^{2}}{3y}\ dy$$

In 1970 the United States produced 63.5 quadrillion BTU (British Thermal Units) of energy and consumed 67.86 quadrillion BTU. From 1970 through 2001, the total U.S. energy production increased by about 0.2813 quadrillion BTU per year, and the total U.S. energy consumption increased by about 0.912 quadrillion BTU per year. a. Write two equations that model the total U.S. energy production and consumption (in quadrillion BTU) as functions of the number of years since 1970. b. How much more energy was consumed than produced in the U.S. in 1970 and in 2001? What was the change in the amount of energy consumed from 1970 to 2001?

Calculate. $\int{x(1+x)^{1/3}}dx$

Explain why homeowners with an attractive nuisance should take extra precautions in addition to increasing their liability insurance coverage. Why do homeowners have such a responsibility?