Gabriela almuerza en un café y el costo de sus alimentos es \( \$ 45.00 \). Por el servicio, quiere dejar una propina de \( 15 \% \). ¿Cuánto es su cuenta total con propina incluida? \( \$ \)

Solve for \( v \) \( -3(v+6)=9 \) \( v=\square \)

Divide. Escribe tu respuesta en la forma más simple. \( -\frac{6}{7} \div\left(-\frac{5}{4}\right)=? \)

Indique el grado relativo a " \( y^{n} \) en el polinomio homogénen: \[ P(x ; y)=8 x^{2 n+6}-3 x^{2 n+3} y^{n+2}+5 y^{9-n} \]

\( 1 \leftarrow \quad \begin{array}{l}\text { Let } g(x)=-x^{2}+4 x+3 . \text { Find and simplify } g(-2) \\ g(-2)=\square \text { (Simplify your answer.) }\end{array} \)

A company decides to begin making and selling computers. The price function is given as follows: \[ p=-50 x+2300 \] where \( x \) is the number of computers that can be sold at a price of \( p \) dollars per unit. Additionally, the financial department has determined that the weekd) fixed cost of production will be 7000 dollars with an additional cost of 100 dollars per unit. (A) Find the revenue function in terms of \( x \). \( R(x)=\square \) (B) Use the financial department's estimates to determine the cost function in terms of \( x \). \( C(x)=\square \) (C) Find the profit function in terms of \( x \). \( P(x)=\square \) (D) Evaluate \( P^{\prime}(x) \) at \( x=250 \). \( P^{\prime}(250)=\square \)