Mini Exam 64 — Timed Mini Exams

Questions in this quiz (10)

1. A bank account's balance, in dollars, is modeled by $$f(t)=12,000(1.06)^{4t},$$ where $$t$$ is measured in years since the account was opened. Which statement is the best interpretation of the factor $$(1.06)^{4t}$$?

   • Every quarter year, the balance increases by $$6\%$$ of the previous quarter's balance.
   • Every year, the balance increases by $$6\%$$ of the previous year's balance.
   • Every $$4$$ years, the balance is multiplied by $$1.06$$.
   • Every $$6$$ years, the balance increases by $$12,000\cdot0.06$$.

2. During a trip, Nancy ran a total of $$15$$ miles by $$3:20$$ PM and a total of $$25$$ miles by $$4:10$$ PM. If the rate at which Nancy was running is constant for the entire trip, at what time had she run a total of $$50$$ miles?

   • $$6:10$$ PM
   • $$2:05$$ PM
   • $$6:00$$ PM
   • $$6:15$$ PM

3. The graph of a quadratic function is a parabola with vertex $$(5,-1)$$. Which of the following is equal to $$f(-1)$$?

   • $$f(-2)$$
   • $$f(11)$$
   • $$f(5)$$
   • $$f(2)$$

4. A school offers an English course. Last year, all students in the school were offered additional practice lessons they could attend. The students who took these additional lessons did better on the exams than the students who did not take the additional lessons. Based on these results, which conclusion is most appropriate?

   • Taking additional lessons will cause an improvement for any student who takes language courses
   • Taking additional lessons will cause an improvement for any student who takes English courses
   • Taking additional lessons was the cause of the improvement for the students at the school who took English course
   • No conclusion about cause and effect can be made regarding students at the school who took the additional lessons and their performance in the English course

5. In the right triangle shown, the hypotenuse has length $$5$$, and angle $$\theta$$ is at vertex $$B$$. Which expression is equal to the length of side $$BC$$ in terms of $$\theta$$?

   • $$5\cos\theta$$
   • $$5\tan\theta$$
   • $$\frac5{\sin\theta}$$
   • $$5\sin\theta$$

6. A regular pentagon is inscribed in a circle with area $$144\pi$$. If the length of arc $$ABC$$ is written in the form $$a\pi$$, what is the value of $$a$$?

   • $$\frac{2}{5}$$
   • $$\frac{48}{5}$$
   • $$\frac{24}{5}$$
   • $$\frac{12}{5}$$

7. Squares of side length $$2$$ are removed from the corners of a $$12$$ by $$20$$ piece of sheet metal. The sides are bent up to create a rectangular box with no top. What is the volume of the resulting box?

   • 256

8. Chelsea left the White House and traveled toward the capital at an average speed of $$34$$ km/h. Jasmine left at the same time and traveled in the opposite direction with an average speed of $$65$$ km/h. Find the number of hours Jasmine needs to travel before they are $$59.4$$ km apart.

   • $$0.6$$

9. Twenty students decided to play football among themselves. They must be divided into two teams. Which method of assigning each student's team is most likely to lead to an unbiased team?

   • The students divide themselves evenly into two groups
   • Those who play football well are assigned to one group
   • Assign ten oldest students to one group
   • Each student is assigned a random number. Those with an even number are assigned to one team

10. $$y$$ < $$35-5x$$ $$\frac{y}{5}$$ > $$7$$Given the system, which inequality represents the $$x$$-values for all solutions $$(x,y)$$ that satisfy the system?

    • $$x$$ > $$4$$
    • $$x$$ < $$4$$
    • $$x$$ > $$-2$$
    • $$x$$ < $$0$$