Mini Exam 41 — Timed Mini Exams

Questions in this quiz (10)

1. A company that makes wildlife videos purchases camera equipment for $$32,400$$ dollars. The equipment depreciates in value at a constant rate for $$12$$ years, after which it is considered to have no monetary value. How much is the camera equipment worth $$4$$ years after it is purchased?

   • $$10,800$$ dollars
   • $$16,200$$ dollars
   • $$21,600$$ dollars
   • $$29,700$$ dollars

2. Ken earned $$8$$ dollars per hour for the first $$10$$ hours he worked this week. Because of his performance, his crew leader raised his salary to $$10$$ per hour for the rest of the week. Ken saves $$90\%$$ of his earnings from each week. What is the least number of hours he must work the rest of the week to save at least $$270$$ dollars for the week?

   • $$38$$
   • $$33$$
   • $$22$$
   • $$16$$

3. Marisa needs to hire at least $$10$$ staff members for an upcoming project. The staff members will be made up of junior directors, who will be paid $$640$$ dollars per week, and senior directors, who will be paid $$880$$ dollars per week. Her budget for paying the staff members is no more than $$9,700$$ dollars per week. She must hire at least $$3$$ junior directors and at least $$1$$ senior director. Which system of inequalities represents the conditions described if $$x$$ is the number of junior directors and $$y$$ is the number of senior directors?

   • $$640x+880y\ge9700$$$$x+y\ge10$$$$x\ge3$$$$y\ge1$$
   • $$640x+880y\le9700$$$$x+y\ge10$$$$x\ge3$$$$y\ge1$$
   • $$640x+880y\ge9700$$$$x+y\ge10$$$$x\le3$$$$y\le1$$
   • $$640x+880y\le9700$$$$x+y\le10$$$$x\le3$$$$y\le1$$

4. In the equation $$ax^3+bx^2+cx+d=0,$$ $$a,b,c,$$ and $$d$$ are constants. If the equation has roots $$-1,-3,$$ and $$5$$, which of the following is a factor of $$ax^3+bx^2+cx+d$$?

   • $$x-1$$
   • $$x+1$$
   • $$x-3$$
   • $$x+5$$

5. The expression $$\frac{x^{-2}y^{\frac12}}{x^{\frac13}y^{-1}},$$ where $$x$$$ > $$1$$ and $$y$$ > $$1$$, is equivalent to which of the following?

   • $$\frac{\sqrt{y}}{\sqrt[3]{x^2}}$$
   • $$\frac{y\sqrt{y}}{\sqrt[3]{x^2}}$$
   • $$\frac{y\sqrt{y}}{x\sqrt{x}}$$
   • $$\frac{y\sqrt{y}}{x^2\sqrt[3]{x}}$$

6. The function $$f$$ is defined by $$f(x)=(x+3)(x+1)$$. The graph of $$f$$ in the $$xy$$-plane is a parabola. Which of the following intervals contains the $$x$$-coordinate of the vertex of the graph of $$f$$?

   • $$-4$$ < $$x$$ < $$-3$$
   • $$-3$$ < $$x$$ <$$1$$
   • $$1$$ < $$x$$ < $$3$$
   • $$3$$ < $$x$$ < $$4$$

7. In the figure, $$\overline{MQ}$$ and $$\overline{NR}$$ intersect at point $$P$$, $$NP=QP,$$ and $$MP=PR$$. What is the measure, in degrees, of $$\angle QRM$$?

   • $$60$$
   • $$70$$
   • $$75$$
   • $$80$$

8. The graph of a line in the $$xy$$-plane passes through the point $$(1,4)$$ and crosses the $$x$$-axis at the point $$(2,0)$$. The line crosses the $$y$$-axis at the point $$(0,b)$$. What is the value of $$b$$?

   • 8

9. The table shows the kinds of foods that are fed to the cats and dogs currently boarded at a pet care facility. What fraction of the dogs are fed only dry food?

   • $$\frac{2}{41}$$
   • $$\frac{2}{25}$$
   • $$\frac{7}{41}$$
   • $$\frac{2}{7}$$

10. The scatterplot shows data for ten charities along with the line of best fit. For the charity with the greatest percent of total expenses spent on programs, which of the following is closest to the difference of the actual percent and the percent predicted by the line of best fit?

    • $$10\%$$
    • $$7\%$$
    • $$4\%$$
    • $$1\%$$