The function $A(t)=2,500(1.05)^t$ gives the amount of money in a savings account after t years when $2,500 is invested at an annual interest rate of 5%. Find A(2) to find the amount of money in the savings account after 2 years. Round to the nearest cent.

Find the amount of interest that could be earned in a savings account and a certificate of deposit account. Then find the difference between the amount of savings interest and certificate of deposit interest.

Find the amount of interest that could be earned in a savings account and a certificate of deposit account. Then find the difference between the amount of savings interest and certificate of deposit interest.

Sketch the graph of (a) f(x)=2x-5, (b) 6x+10y=30

If $f(x) = 2x^2 - 30$, find $f(4)$.

In the following exercise, evaluate the function at the given values of the independent variables. Simplify the results.

f(x, y) = 2x - y + 3

f(5, 30)

Graph the following parent function along with the translated function on the same coordinate grid.

y = |x|, y = |x + 4| + 3

Find the specified function value.

f(x) = |4x - 9| for x = -5

Graph the following relation on a coordinate grid.

y = 2x - 1

Anna is buying a house selling for $225,000. To obtain the mortgage, Anna is required to make a 15% down payment. Anna obtains a 30-year mortgage with an interest rate of 5%. (a) Determine the amount of the required down payment. (b) Determine the amount of the mortgage. (c) Determine the monthly payment for principal and interest.

Solve the LP problems. If no optimal solution exists, indicate whether the feasible region is empty or the objective function is unbounded. Minimize c=x+2y subject to

$$\begin{aligned} x+3 y & \geq 30 \\ 2 x+y & \geq 30 \\ x \geq 0, y & \geq 0. \end{aligned}$$

Solve the LP problems. If no optimal solution exists, indicate whether the feasible region is empty or the objective function is unbounded. Maximize p=2x+3y subject to

$$\begin{aligned}-x+y & \geq 10 \\ x+2 y & \leq 12 \\ x \geq 0, y & \geq 0. \end{aligned}$$

Find the following specified function value.

$y=\sqrt{-3 x+7}$ for x = -14

Sketch the region that corresponds to the given inequalities, say whether the region is bounded or unbounded, and find the coordinates of all corner points (if any). $x \leq 3 y$