In 2009, there were 14,100 students at college A, with a projected enrollment increase of 1500 students per year. In the same year, there were 41,700 students at college B, with a projected enrollment decline of 800 students per year. In which year will the colleges have the same enrollment? What will be the enrollment in each college at that time?

John drew a right triangle with sides 6 inches, 8 inches, and 10 inches long. What was the area of the triangle?

Describe two experiments that you can perform to determine the focal length of a glass convex lens. Is it a converging or a diverging lens? How do you know?

Describe the function of the gallbladder.

Use a graphic organizer to note the political measures that Lincoln took to solve problems he faced during the war.

Use the five-step strategy for solving word problems.

In $2010$, there were $14,100$ students at college $A$, with a projected enrollment increase of $1500$ students per year. In the same year, there were $41,700$ students at college $B$, with a projected enrollment decline of $800$ students per year. In which year will the colleges have the same enrollment? What will be the enrollment in each college at that time?

In 2015, there were 14,100 students at college A, with a projected enrollment increase of 1500 students per year. In the same year, there were 41,700 students at college B, with a projected enrollment decline of 800 students per year.

a. Let x represent the number of years after 2015. Write, but do not solve, an equation that can be used to find how many years after 2015 the colleges will have the same enrollment.

b. The following table is based on your equation in part (a). Y1 represents one side of the equation and Y2 represents the other side of the equation. Use the table to answer these questions: In which year will the colleges have the same enrollment? What will be the enrollment in each college at that time?

$$\begin{array}{|l|c|c|c|c|} \hline x&{Y}_1 & \mathrm{Y}_2 & & \\ \hline 7 & 24600 & 36100 & & \\ \hline 8 & 26100 & 35300 & & \\ 9 & 27600 & 34500 & & \\ \hline 9 & 29100 & 33700 & & \\ \hline 11 & 30600 & 32900 & & \\ \hline 12 & 32100 & 32100 & & \\ 13 & 33600 & 31300 & & \\ 14 & 35100 & 30500 & & \\ 15 & 36600 & 29700 & & \\ 16 & 38100 & 28900 & & \\ 17 & 39600 & 28100 & & \\ \hline \end{array}$$

After a 20% price reduction , a cordless phone sold for $48. What was the phone 's price before the reduction?

Which political party is a 19-year-old college student living in New York City most likely to identify with?

A new car worth $24,000 is depreciating in value by 3000 per year. a. Write a formula that models the car's value, y, in dollars, after x years. b. Use the formula from part (a) to determine after how many years the car’s value will be 9000. c. Graph the formula from part (a) in the first quadrant of a rectangular coordinate system. Then show your solution to part (b) on the graph.

Twelve students are competing for 3 different writing scholar ships. In how many ways can the scholarships be awarded?

Find $(a)\ ||u||, (b)\ ||v||, (c)\ u \cdot v,$ and $(d) d(u,v).$

$$u = (1, 4),\quad v = (2, 1)$$

Aspartame is an artificial sweetener that is 160 times sweeter than sucrose (table sugar) when dissolved in water. It is marketed as NutraSweet. The molecular formula of aspartame is $\mathrm { C } _ { 14 } \mathrm { H } _ { 18 } \mathrm { N } _ { 2 } \mathrm { O } _ { 5 }.$ How many molecules are in 5.0 mg of aspartame?

In your own words, describe the solubility rule for hydroxide (OH ̅).