# College Algebra

## What is the Coefficient of the 8th Term of the Expansion of (2x - 1/x)^10?

**Problem**

In the expansion of (2*x* - 1/*x*)^{10}, find the coefficient of the 8^{th} term.

A. 980 | C. 960 |

B. 970 | D. 990 |

## How Long Would it Take to Fly From Earth to Jupiter?

**Problem**

Earth is approximately 93,000,000.00 miles from the sun, and the Jupiter is approximately 484,000,900.00 miles from the sun. How long would it take a spaceship traveling at 7,500.00 mph to fly from Earth to Jupiter?

A. 9.0 years | C. 6.0 years |

B. 5.0 years | D. 3.0 years |

## Amount of Sales Needed to Receive the Desired Monthly Income

**Problem**

A salesperson earns \$600 per month plus a commission of 20% of sales. Find the minimum amount of sales needed to receive a total income of at least \$1500 per month.

A. \$1500 | C. \$4500 |

B. \$3500 | D. \$2500 |

## Expected Profit for the Acceptance of Estimate of an Engineering Company

**Problem**

An engineering company prepares an estimate for a job. The cost of preparing the estimate is Php10,000. The amount of profit over and above the Php10,000 is Php25,000 if their estimate is accepted. The probability that their estimate will be accepted 0.7 and the probability that their estimate will not be accepted is 0.3. What is the expected profit?

A. Php12,500 | C. Php14,500 |

B. Php13,500 | D. Php10,500 |

## Probability That A Randomly Selected Chord Exceeds The Length Of The Radius Of Circle

**Situation**

If a chord is selected at random on a fixed circle what is the probability that its length exceeds the radius of the circle?

- Assume that the distance of the chord from the center of the circle is uniformly distributed.
A. 0.5 C. 0.866 B. 0.667 D. 0.75 - Assume that the midpoint of the chord is evenly distributed over the circle.
A. 0.5 C. 0.866 B. 0.667 D. 0.75 - Assume that the end points of the chord are uniformly distributed over the circumference of the circle.
A. 0.5 C. 0.866 B. 0.667 D. 0.75

## Time After 3:00 O'clock When The Hands Of The Clock Are Perpendicular

**Problem**

How many minutes after 3:00 o’clock will the hands of the clock be perpendicular to each other for the 1st time?

A. 35 | C. 32.73 |

B. 33.15 | D. 34.12 |

## For Sn = 3^(2n - 1) + b; Find the Quotient a9 / a7

**Problem**

The sum of the first *n* terms of a series is 3^(2*n* - 1) + *b*. What is the quotient of the 9^{th} and the 7^{th} term?

A. 81 | C. 83 |

B. 82 | D. 84 |

## General Term of Arithmetic Sequence that Models the Potential Annual Salaries

**Problem**

A job posted at jobstreet.com offered a starting salary of \$40,000 per year and guaranteeing a raise of \$1600 per year for the rest of 5 years. Write the general term for the arithmetic sequence that models potential annual salaries.

*a*= 38,400 + 1600

_{n}*n*

B.

*a*= 33,400 + 2600

_{n}*n*

C.

*a*= 36,400 + 1400

_{n}*n*

D.

*a*= 34,400 +1800

_{n}*n*

## Weight of Copper and Tin to Produce an Alloy of 30% Copper and 10% of Tin

**Problem**

A given alloy contains 20% copper and 5% tin. How many pounds of copper and of tin must be melted with 100 lb of the given alloy to produce another alloy analyzing 30% copper and 10% tin? All percentages are by weight.

B. 17.5 lb copper and 7.5 lb tin

C. 19.5 lb copper and 5.5 lb tin

D. 18.5 lb copper and 6.5 lb tin