PICK YOUR PAY

Suppose you take a new job and the boss offers you a choice between:

(A) $4,000 for your first year of work, and a raise of $800 for each year thereafter;

(B) $2,000 for your first six months of work, and a raise of $200 every six months thereafter.

Which offer would you take and why? 

NO CHANGE

- «Give me change for a dollar, please," said the customer.

- "I'm sorry," said Miss Jones, the cashier, after searching through the cash register, "but I can't do it with the coins I have here."

- "Can you change a half dollar then?"

- Miss Jones shook her head. In fact, she said, she couldn't even make change for a quarter, dime, or nickel!

- "Do you have any coins at all?" asked the customer.

- "Oh yes," said Miss Jones. "I have $1.15 in coins."

Exactly what coins were in the cash register? 

THE BICYCLES AND THE FLY

Two boys on bicycles, 20 miles apart, began racing directly toward each other. The instant they started, a fly on the handle bar of one bicycle started flying straight toward the other cyclist. As soon as it reached the other handle bar it turned and started back. The fly flew back and forth in this way, from handle bar to handle bar, until the two bicycles met.

If each bicycle had a constant speed of 10 miles an hour, and the fly flew at a constant speed of 15 miles an hour, how far did the fly fly?  

. A coordinate system is devised in which the positive y-axis makes a 60 degree angle with the positive x-axis. Using this coordinate system, A(6,1), B(2,-3) and C(-2,5) are the coordinates of vertices of a triangle. Find:

a) the perimeter of the triangle, and

b) the area of the triangle.

Tim and Nancy have children Alex and Morgan with Morgan 4 years older than Alex. Tim is 2 years older than Nancy and the sum of ages of the 4 family members is now 96 years. Seven years ago the sum of the ages of all of the family members was 69 years. What is Nancy's present age?