Solve.

After a serious automobile accident, most insurance companies will replace the damaged car with a new one if repair costs exceed $80\%$ of the NADA, or "blue-book," value of the car. Lorenzo's car recently sustained $\$9200$ worth of damage but was not replaced. What was the bluebook value of his car?

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?

Professor Seif conducts research on the relationship between the limbic system and sexual motivation. Her research interests best represent the psychological specialty known as _____.

A. biological psychology.

B. psychoanalysis.

C. cognitive psychology.

D. behavior genetics.

Joan Davies signed a 140-day simple interest note for $\$ 12,500$ with a bank that uses exact interest. If the rate is $10.7 \%$, find the maturity value.

When four golfers are about to begin a game, they often toss a tee to randomly select the order in which they tee off. What is the probability that they tee off in alphabetical order by last name?

Rachel has $25,000 worth of property damage insurance. She causes$32,000 worth of damage to a sports car in an accident. How much of the damages will the insurance company have to pay?

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.

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.

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.