Set up an equation that can be used to solve the prob lem. Solve the equation and determine the desired value(s).
MODELING - Scholarship Donation Each year, Andrea Choi donates a total of $\$1000$ for scholarships at Mercer County Commun ity College . This year, she wants the amount she donates for scholarships for liberal arts to bethree times the amount she donates for scholarships for business. Determine the amount she will donate for each type of scholarship.

Use the formula to determine the value of the indicated variable for the values given. Use a calculator when one is needed. When necessary, use the π key on your calculator and round answers to the nearest hundredth.

$$A=P(1+r/n)^{nt}$$

; determine A when P=100, r=6% (or 0.06) n=1, and t=3 (banking).

Solve the equation for $y$ \

$$5x - 4y = 14$$

Graph the solution set of the inequality, where x is an integer, on the number line. -x/4≥2

Write the variation equation and (b) determine the quantity indicated
$H$ varies directly as $L.$ If $H = 12$ when $L = 40,$ determine $H$ when $L = 10.$

Write the equation and then find the solution.
MODELING - Restaurant Profit John Smith owns two restaurants. His profit for a year at restaurant A is $\$ 12,000$ greater than his profit at restaurant $\mathrm{B}$. The total profit from both restaurants is $\$ 68,000$. Determine the profit at each restaurant.

Determine which ordered pairs satisfy the given equation. \

$$x + 4y = 13 \ (5, 2) \ (1, 3) \ (0, 5)$$

Determine whether the value(s) is (are) a solution to the equation \

$$y=x^2+4 x-5, \quad x=-1, \quad y=-8$$

Combine like terms. \

$$\frac{2}{3}(3 x+9)-\frac{1}{4}(2 x+5)$$

Combine like terms. \

$$\frac{1}{4} x+\frac{4}{5}-\frac{2}{3} x$$

Factor the trinomial. 6x²-13x+2

Graph the solution set of the inequality, where x is an integer, on the number line. x/4≥-3

Set up an equation that can be used to solve the problem. Solve the equation and determine the desired value(s).
MODELING—Investment Marty Faegan received an inheritance of $\$12,000$. If he wants to invest three times as much money in stocks as in mutual funds, how much money should Marty invest in mutual funds and in stocks?

Write the mathematical expression as a phrase. (There are several acceptable answers.) 2x-3