# May 2017

**Problem**

\$180,000 was spent on the project that yields annual benefit of \$60,000 for a period of 8 years without any salvage value. Determine the benefit-to-cost ratio considering the cost of money to be 7%.

A. 1.99 | C. 1.57 |

B. 2.21 | D. 2.63 |

**Problem**

Which of the following pizzas is a better buy: a large pizza with 16-inch diameter for \$15 or a medium pizza with an 8-inch diameter for \$7.50? What is the cost per square inch of the better pizza?

A. medium pizza: \$0.07/in.^{2} |
C. medium pizza: \$0.15/in.^{2} |

B. large pizza: \$0.07/in.^{2} |
D. large pizza: \$0.15/in.^{2} |

**Problem**

What is the angle between zero-based vectors ${\bf V_1} = (-\sqrt{3}, ~ 1)$ and ${\bf V_2} = (2\sqrt{3}, ~ 2)$ in an *x*-*y* coordinate system?

A. 0° | C. 150° |

B. 180° | D. 120° |

**Problem**

In a common carnival game, a player tosses a penny from a distance of about 5 feet onto the surface of a table ruled in 1-inch squares. If the penny (3/4 inch in diameter) falls entirely inside a square, the player receives 5 cents but does not get his penny back; otherwise he loses his penny. If the penny lands on the table, what is his chance to win?

A. 5/16 | C. 9/256 |

B. 1/16 | D. 3/128 |