In a physics problem, rate is inversely related to time for a given distance. When time is 4 hours, rate is 42 miles per hour. Find the rate when time is 6. Now, find the time when rate is 54 mph.

Two numbers sum to 18. The sum of their squares is 212. Find the smaller number.

The final price of a computer is $365.This is after a 19% tax and 22% discount. Find the initial price.

Alan initially has 17 friends. He loses some and then has 13 friends. Find the percent change in friends that he has.

Tim buys a soda with initial price of $1.55. Find the price after 2 consecutive discounts of 7% and 8%.

A cat initially weighs 9 pounds. It loses 3% of its weight monthly. Find the weight after 3 months.

A town initially has a population of 5500. The town triples every 65 years. Find the population after 1000 years.

A cat initially weighs 850 grams. It loses 4 percent of its weight every 7 years. Find its weight after 6 years.

The half life of a cell is 180 years. The initial mass is 40 units. Find the mass after 300 years.

Line w passes through (6,12) and (-4,-8). Find the x int and y int. Line q is perpendicular to line w. Line q passes through (14,2). Find the x int and y int of line q. If line q passes through (2,d), what is the value of d?