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A certain college had 3,000 students enrolled in 2015. The college predicts that after 2015, the number of students enrolled each year will be 2% less than the number of students enrolled the year before. Which of the following functions models the relationship between the number of students enrolled, $f(x)$, and the number of years after 2015, $x$ ?
$f(x)=0.02(3,000)^{x}$
$f(x)=0.98(3,000)^{x}$
$f(x)=3,000(0.02)^{x}$
$f(x)=3,000(0.98)$
The function $f(x)=200,000(1.21)^{x}$ gives a company's predicted annual revenue, in dollars, $x$ years after the company started selling light bulbs online, where $0<$x$\leq 10$. What is the best interpretation of the statement "$f(5)$ is approximately equal to 518,748" in this context?
5 years after the company started selling light bulbs online, its predicted annual revenue is approximately 518,748 dollars.
5 years after the company started selling light bulbs online, its predicted annual revenue will have increased by a total of approximately 518,748 dollars.
When the company's predicted annual revenue is approximately 518,748 dollars, it is 5 times the predicted annual revenue for the previous year.
When the company's predicted annual revenue is approximately 518,748 dollars, it is 5% greater than the predicted annual revenue for the previous year.
The given equations define the functions $f$ and $g$, where $x\geq 0$. Which of the following equations displays, as a constant or coefficient, the maximum value of the function it defines, where $x\geq 0$?
I. $f(x)=33(0.4)^{x+3}$
II. $g(x)=33(0.16)(0.4)^{x-2}$
I only
II only
I and II
Neither I nor II
Blood volume, $V_{B}$, in a human can be determined using the equation $V_{B}=\dfrac{V_{P}}{1-H}$, where $V_{P}$ is the plasma volume and $H$ is the hematocrit (the fraction of blood volume that is red blood cells). Which of the following correctly expresses the hematocrit in terms of the blood volume and the plasma volume?
$H=1-\dfrac{V_{P}}{V_{B}}$
$H=\dfrac{V_{B}}{V_{P}}$
\(H=1+\dfrac{V_{B}}{V_{P}}\)
$H=V_{B}-V_{P}$
$P=\frac{W}{t}$
The power $P$ produced by a machine is represented by the equation above, where $W$ is the work performed during an amount of time $t$. Which of the following correctly expresses $W$ in terms of $P$ and $t$?
$W =Pt$
$W = \frac{P}{t}$
$W = \frac{t}{P}$
$W = P+t$
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