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The cost of producing 1 unit of a product at a certain manufacturing company is $0.75. According to a sales model, if each unit has a selling price of $1.00, the company expects to sell 1,000 units each month. For each $0.05 increase in the unit selling price, the company expects to see a decrease of 100 units sold each month. According to the model, which of the following could be a unit selling price at which the company would expect a profit of at least $250.00 each month? (Profit equals revenue minus cost.)

Indicate all such unit selling prices.


According to a theory, the gravitational force F between two metal spheres with masses $$m_{1}$$ and $$m_{2}$$, is given by the formula shown, where $$d$$ is the distance between the centers of the spheres and G is a positive constant. Which of the following changes to the distance or the masses, while keeping the other quantities unchanged, would cause the greatest increase in F?
According to the distribution shown above, which age-group contains the median age of Internet users?
The dollar value of a certain painting in 1984 was 30 percent greater than its dollar value in 1980. The dollar value of the painting in 1988 was 84 percent greater than its dollar value in 1980.

Quantity A

The percent increase in the dollar value of the antique from 1984 to 1988

Quantity B

$$54%$$
In xy-plane, the graph of $$y=ax+b$$, where $$ab \gt 0$$, has the y-intercept $$s$$ and the x-intercept $$t$$.

Quantity A

$$s+t$$

Quantity B

$$b$$
Which of the following is NOT equivalent to $$x(y+z)-y(x+z)$$?
An electronics store purchased two television sets at different wholesale costs and later sold the two television sets for $3,300 each. The profits that the store made on the first television set was equal to 10 percent of its wholesale costs, and the profit that the store made on the second television set was equal to 20 percent of its wholesale cost. The total profit that the store made on the two television sets was what percent of the total of their wholesale costs? (Note: profit equals selling price minus costs.)

Give your answer to the nearest 0.01 percent.
In City N, the sales tax is 8 percent of the selling price. For a certain week, the sales tax was suspended on items of clothing, but only on those with selling prices under $100. During that week, a customer bought 8 items of clothing with a total selling price of $292.

Quantity A

The total amount of sales tax that was suspended on the 8 items of clothing

Quantity B

$20


A jogger ran x miles at a constant rate of 5 miles per hour north along a beach, rested for 15 minutes, and then ran x miles back at the same rate. If it took the jogger a total of 1.5 hours for the entire run including the time for rest, how many miles did the jogger run north?
Faucets $$X$$ and $$y$$ dispense water at their respective constant rates. Dispensing simultaneously, faucets $$X$$ and $$Y$$ fill an empty tub in 3 minutes. Faucet $$X$$, dispensing alone, takes $$\frac{3}{4}$$ as long as faucet $$y$$, dispensing alone, to fill the empty tub. Let $$x$$ and $$y$$ be the respective times, in minutes, that it takes faucets $$X$$ and $$y$$, each dispensing alone, to fill the empty tub. What are the values of $$x$$ and $$y$$?
Three pipes $$P1$$, $$P2$$ and $$P3$$, working together at their respective constant rates, can fill a tank in 6 hours. $$P1$$, and $$P2$$, working together at their respective constant rates, can fill the same tank in 8 hours. How many hours will it take $$P3$$, working alone at its constant rate, to fill this tank?
Machines $$G$$ and $$H$$ produce identical paper clips at their respective constant rates. When machine $$G$$ works alone, it takes 5 hours to produce a certain quota of paper clips. When machines $$G$$ and $$H$$ work simultaneously to produce the quota, it takes them one-third of the time that it takes for machine $$H$$, working alone, to produce the quota. When machine $$H$$ works alone, how many hours does it take to produce the quota?
Working simultaneously at their respective constant rates, pump $$P$$ and pump $$S$$ together pumped out $$\frac{2}{3}$$ of the water in a full tank in 1 hour 20 minutes. Pump $$P$$ then stopped working, and pump $$S$$, working alone at its constant rate, pumped out the rest of the water in the tank in 50 minutes. How many hours would it have taken pump $$P$$, working alone at its constant rate, to pump out all the water in the full tank?
At a certain company, 60 percent of the employees were in department $$A$$ and the remaining 40 percent were in department $$B$$. During a company reorganization, some of the employees were moved from department $$A$$ to department $$B$$, none were moved from department $$B$$ to department $$A$$, and the total number of employees remained the same. If the number of employees in department $$A$$ decreased by 30 percent as a result of the reorganization, what was the percent increase in the number of employees in department $$B$$?
In a government's current budget, 66 percent of the budget is allocated to the payment of entitlements and interest on the government's debt. If the dollar amount of the allocation for entitlements and interest on the government's debt were to remain the same, but all the remaining allocations in the budget were to be reduced by 10 percent of their dollar amounts, by what percent would the entire government budget be reduced?
For 1997 Kevin' s annual salary was equal to Edith' s annual salary.

For 1998 Kevin's annual salary was increased by $$t$$ percent of that of the preceding year and for 1999 his annual salary was increased by m percent of that of the preceding year.

For 1998 Edith's annual salary was increased by m percent of that of the preceding year and for 1999 her annual salary was increased by $$t$$ percent of that of the preceding year.

Quantity A

Kevin' s annual salary for 1999

Quantity B

Edith' s annual salary for 1999
A furniture store purchased sofas for a wholesale price of $400 each and sold most of them for a retail price of $560 each. In a summer sale, the retail price of the last few sofas was reduced by $$x$$ dollars, and they were sold at this reduced price. The store's profit from selling the last sofa was more than 15 percent of its wholesale price. Which of the following could be the value of $$ x$$ ?

Indicate all such values.
At the beginning of 2009, Kim bought 100 shares of stock in a company at a price of $31 per share. During the year, the price of the stock changed daily; the highest price was $35 per share and the lowest price was $25 per share. If Kim sold all 100 shares of stock on the same day in 2009, which of the following could be her percent profit or percent loss on the sale?

Indicate all such percent profits or percent losses.
The cost of producing 1 unit of a product at a certain manufacturing company is $0.75. According to a sales model, if each unit has a selling price of $1.00, the company expects to sell 1,000 units each month. For each $0.05 increase in the unit selling price, the company expects to see a decrease of 100 units sold each month. According to the model, which of the following could be a unit selling price at which the company would expect a profit of at least $250.00 each month? (Profit equals revenue minus cost.)

Indicate all such unit selling prices.

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