Find the percentage rate of change of f(x) at the indicated value of x. Round to the nearest tenth of a percent. f(x)=75+110x; x=16

Use the given equation, which expresses price p as a function of demand x, to find a function f(p) that expresses demand x as a function of price p. Give the domain of f(p). $p=42-0.4 x, 0 \leq x \leq 105$

A point is moving along the graph of $x^3 y^2=200$. When the point is at (2,5), its x-coordinate is changing at the rate of -4 units per minute. How fast is the y-coordinate changing at that moment?

Assume that x=x(t) and y=y(t). Find the indicated rate, given the other information. $y=x^{2}+2$; dx / dt=3 when x=5; find dy / dt.

Revenue and elasticity. The price–demand equation for home-delivered large pizzas is

$$p=38.2-0.002x$$

where $x$ is the number of pizzas delivered weekly. The current price of one pizza is $\$21$. In order to generate additional revenue from the sale of large pizzas, would you recommend a price increase or a price decrease? Explain.

Revenue and elasticity. The price-demand equation for home-delivered large pizzas is p=38.2-0.002x. where x is the number of pizzas delivered weekly. The current price of one pizza is $\$ 21$. In order to generate additional revenue from the sale of large pizzas, would you recommend a price increase or a price decrease? Explain.

Identify and sketch the graph of each relation. $4 x^{2}-8 x+9 y^{2}-36 y=-4$

Write each equivalent form. Write $log_{2}$8=3 in exponential form.

Metal sphere 1 has a positive charge of 6.0 nC. Metal sphere 2, which is twice the diameter of sphere 1, is initially uncharged. The spheres are then connected together by a long, thin metal wire. What are the final charges on each sphere?

Fill in the blank( s) to correctly complete each sentence. The graph of x=$y^2$ is the same as the graph of $x=(-y)^{2}$ because reflecting it across the ____-axis yields the same ordered pairs.

Use any method described in this section to solve each problem. If Dwight has 8 courses to choose from, how many ways can he arrange his schedule if he must pick 4 of them?

Find two triangles with the given angle measure and side lengths. Round side Lengths To the nearest tenth and angle measures to the nearest degree. $A=54^{\circ}, a=31, b=36$

The price-demand equation for hamburgers at a fast-food restaurant is x+400p=3,000 Currently, the price of a hamburger is $\$ 3.00$. If the price is increased by $10 \%$, will revenue increase or decrease?

Expand each expression. $\log _{7} h^{2} j^{11} k^{-5}$