The manager of a hardware store sells batteries for \( \$ 5 \) a package. She wants to see how much money she will earn if she increases the price in \( 10 \notin \) increments. A model of the price change is the revenue function \( R(x)=-x^{2}+10 x+3000 \), where \( x \) is the number of \( 10 \notin \) increments and \( R(x) \) is in dollars. Explain how to determine the maximum revenue.

Select your answer What is the direction of a vector with a horizontal component of -2 and a vertical component of -4 ? \( -63^{\circ} \) \( -117^{\circ} \) 0.

Where is there a discontinuity / are there discontinuities (holes or asymptotes) in the rational function \( f(x)=\frac{x^{2}+3 x+2}{x^{2}-4} ? \) \( x= \) 0 \( x= \) 2 \( x= \) -2 \( x=2 \) -2 \( x=0 \) \( 2,-2 \) \( x \)

What is the magnitude of a vector with a horizontal component of 5 and a vertical component of \( 12 ? \)

The function \( f(t)=60,000(2)^{\frac{1}{40}} \) gives the number of bacteria in a population \( t \) minutes after an initial observation. How much time, in minutes, does it take for the number of bacteria in the population to double?

The size of a certain insect population is given by \( \mathrm{P}(\mathrm{t})=400 e^{.03 \mathrm{t}} \), where t is measured in days. At what time will the population equal 1600 ?