Bill Casler bought a $\$ 2000$, $9$-month certificate of deposit ($\mathrm{CD}$) that would earn $8 \%$ annual simple interest. Three months before the $\mathrm{CD}$ was due to mature, Bill needed his $\mathrm{CD}$ money, so a friend agreed to lend him money and receive the value of the $\mathrm{CD}$ when it matured.

(a) What is the value of the $\mathrm{CD}$ when it matures?

(b) If their agreement allowed the friend to earn a $10 \%$ annual simple interest return on his loan to Bill, how much did Bill receive from his friend?

At what nominal rate compounded quarterly would $\$ 20,000$ have to be invested to amount to $\$ 26,425.82$ in $7$ years?

If you borrow $\$ 800$ for $6$ months at $6 \%$ annual simple interest, how much must you repay at the end of the $6$ months?

The amount of time spouses shop for anniversary cards can be modeled by an exponential distribution with the average amount of time equal to eight minutes. Write the distribution, state the probability density function, and graph the distribution.

From a tract of land, a developer plans to fence a rectangular region and then divide it into two identical rectangular lots by putting a fence down the middle. Suppose that the fence for the outside boundary costs $\$ 20$ per foot and the fence for the middle costs $\$ 8$ per foot. If each lot contains $13,500$ square feet, find the dimensions of each lot that yield the minimum cost for the fence.

Which of the following is not listed in the Nutrition Facts panel? (a) The number of serving per container. (b) The number of calories per serving. (c) The vitamin and mineral content of the food. (d) The ingredients found in the food.

A couple bought some stock for $\$ 30$ per share that pays an annual dividend of $\$ 0.90$ per share. After 1 year the price of the stock was $\$ 33$. Determine the simple interest rate on the growth of their investment.

A rectangular area adjacent to a river is to be fenced in; no fence is needed on the river side. The enclosed area is to be 1000 square feet. Fencing for the side parallel to the river is $5 per linear foot, and fencing for the other two sides is$8 per linear foot; the four corner posts are $25 apiece. Let x be the length of one of the sides perpendicular to the river. Find the dimensions of the cheapest enclosure.

A $4$-pen kennel of $640$ square feet is to be constructed as shown. The cost is $\$ 20$ per foot for the sides and $\$ 5$ per foot for the ends and dividers. What are the dimensions of the kennel that will minimize the cost?

a. Suppose that between the ages of 22 and 40, you contribute $3000 per year to a 401(k) and your employer contributes$1500 per year on your behalf. The interest rate is 8.3% compounded annually. What is the value of the 401(k), rounded to the nearest dollar, after 18 years? b. Suppose that after 18 years of working for this firm, you move on to a new job. However, you keep your accumulated retirement funds in the 401(k). How much money, to the nearest dollar, will you have in the plan when you reach age 65? c. What is the difference between the amount of money you will have accumulated in the 401(k) and the amount you contributed to the plan?

Use systems of equations to solve.

Chris Kringler has $\$ 2.77$ in her coin jar-all in pennies, nickels, and dimes. If she has $53$ coins in all and four more nickels than climes, find how many of each type of coin she has.

Suppose that a company needs $1,500,000$ items during a year and that preparation for each production run costs $\$ 600$. Suppose also that it costs $\$ 15$ to produce each item and $\$ 2$ per year to store an item. Use the inventory cost model to find the number of items in each production run so that the total costs of production and storage are minimized.

Have you ever tried to get out of jury duty? About 25% of those called will find an excuse (work, poor health, travel out of town, etc.) to avoid jury duty. If 12 people are called for jury duty, how many people n must the jury commissioner contact to be 95.9% sure of finding at least 12 people who are available to serve?

A candy company has 150 kg of chocolate-covered nuts and 90 kg of chocolate-covered raisins to be sold as two different mixes. One mix will contain half nuts and half raisins and will sell for $7 per kg. The other mix will contain 3/4 nuts and 1/4 raisins and will sell for$9.50 per kg. (a) How many kilograms of each mix should the company prepare for the maximum revenue? Find the maximum revenue. (b) The company raises the price of the second mix to $11 per kg. Now how many kilograms of each mix should the company prepare for the maximum revenue? Find the maximum revenue.