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?

Correlation versus causation: Suppose that you see a data set that shows a positive linear relationship between students’ GPAs and their SAT scores. Can you conclude that earning a higher GPA leads to a higher SAT score? Absolutely not. You can only conclude a positive correlation between GPA and SAT score. It could be the[…]