Convert the equation y = e2x into a logarithmic function.

Joanne invested $5,000 into an account paying an annual interest rate of 4% compounded quarterly. Using the compound interest formula F=P(1+rn)nt{“version”:”1.1″,”math”:”F=P(1+\frac{r}{n})^{nt}”}, calculate the approximate value of her investment after 10 years. Round your answer to the nearest whole dollar amount.

Which of the following methods would be appropriate to show that f(x) and g(x) are inverse functions. Choose all correct answers.

A clothes store’s total sales, S, of a shirt when it is priced at price p, in dollars is given by S = -2p + 44. Which of the following is the best interpretation of the slope of this function?

Find the solution of the following system of linear equations: 2 x + 3 y = 10 3 x − 2 y = 2 {“version”:”1.1″,”math”:”\begin{eqnarray} 2x + 3y = 10 \\ 3x – 2y = 2 \end{eqnarray} ”}

Line L is given by y =  3 – 2x/3. Point P has coordinates (6, 5). Find the equation of a line going though point P that is perpendicular to L.

The Jacksons are planting a tree in their front yard. The sales person at the local nursery tells them the tree they are purchasing will grow approximately one foot every four years. The tree is two feet tall right now. Write an equation to model the height (h) of this tree t years after it’s planted.

Verify whether the point (2, -3, 1) is a solution to the following system of linear equations: 2 x + y − 3 z = − 2 3 x + 2 y + z = 1 x − 4 y − 5 z = 9 {“version”:”1.1″,”math”:”\begin{eqnarray} 2x + y – 3z = -2 \\ 3x + 2y + z = 1 \\ x – 4y -5z = 9 \end{eqnarray}”}

In 1990 the population of New City was 30,000. By 2013, it had grown to 170,000.  Assuming that the growth was linear, find a formula that expresses New City’s population, P, t years after 1990.

Find the solution of the following system of linear equations: 2 x + y = 6 3 x − y = 4 {“version”:”1.1″,”math”:”\begin{eqnarray} 2x + y = 6 \\ 3x – y = 4 \end{eqnarray} “}