Reference no: EM131703235

1) Jim's pool is the shape of a rectangle. The length is 6 m less than three times the width, and the perimeter is 68 m. Find the dimensions of the pool

2) The stopping distance, d, of a particular train after the brakes are applied varies directly as the square of the rate, r. If the train is travelling 10 mph, it can stop in 25 feet.  How many feet will it take the same train to stop when it is travelling 100 mph

3) The total number of boys and girls in a school is 101.  There are 15 fewer boys than girls in the school.  How many girls are there?

4) Sara leaves home at 3 PM and drives at an average speed of 30 miles per hour.  Her husband, Tom, leaves 4 minutes later and drives along the same route at an average speed of 40 miles per hour.  At what time will Tom catch up to Sara?

5) Ron would like to have at least $150,000 saved to buy a condo.  If he invests $50,000 in an account paying 6.19% interest compounded quarterly, will he reach his goal in 15 years? Show all work to justify your answer and include appropriate units.