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Quiz 1: Functions and Graphs50 Questions

Quiz 2: Polynomial, Power, and Rational Functions52 Questions

Quiz 3: Exponential, Logistic, and Logarithmic Functions52 Questions

Quiz 4: Trigonometric Functions50 Questions

Quiz 5: Analytic Trigonometry50 Questions

Quiz 6: Applications of Trigonometry52 Questions

Quiz 7: Systems and Matrices50 Questions

Quiz 8: Analytic Geometry in Two and Three Dimensions52 Questions

Quiz 9: Discrete Mathematics62 Questions

Quiz 10: An Introduction to Calculus: Limits, Derivatives, and Integrals37 Questions

Quiz 11: P Prerequisites52 Questions

Quiz 12: Appendix128 Questions

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Questions Type

The population of Powerville is 425,000 , and it is increasing at a rate of 4.2% each year. Predict the number of years until the population will be 750,000 . Round to two decimal places.

(Short Answer)

Answer:

13.81 years

$\text { Write the inverse of the function } f(x)=e^{x+2} \text {. }$

(Short Answer)

Answer:

$f^{-1}(x)=\ln x-2$

Juan contributes $\$ 65$ monthly into an IRA annuity for 20 years. If the account earns 5.6\% annual interest compounded monthly, what is the value of Juan's account after 20 years?

(Short Answer)

Answer:

$\$ 28,649.40$

A casserole is removed from a $375^{\circ} \mathrm{F}$ oven, and it cools
to $200^{\circ} \mathrm{F}$ after 15 minutes in a $75^{\circ} \mathrm{F}$ room. How long
(from the time it is taken out of the oven) does it take
to cool to $100^{\circ} \mathrm{F} ?$ (Hint: Use Newton's Law of Cooling,
$\left.T(t)=T_{m}+\left(T_{0}-T_{m}\right) e^{-k t} .\right)$

(Short Answer)

Solve the logarithmic equation log (x+2)+log x=3 log 2 algebraically. Identify any extraneous solutions.

(Short Answer)

Correct Answer:

x=2 ; Ex...

Graph the logistic function $f(x)=\frac{15}{1+e^{-2 x}}$
Show the viewing window dimensions.

(Essay)

Find the value of an investment of $\$ 5200$ invested for 5 years, compounded monthly at the rate of $9.5 \%$ APR.

(Short Answer)

Solve the logarithmic equation $\log _{x} 5=3$
for x . Leave the answer in radical form.

(Short Answer)

How long will it take an investment of $750 at 8.75% APR compounded quarterly to grow a $1000?

(Short Answer)

Determine the domain of the function $f(x)=\ln \left(4 x-x^{2}\right)$

(Multiple Choice)

A $\$ 125,000$ mortgage requires monthly payments for 30 years at $7.5 \%$ APR. How much is each payment?

(Short Answer)

$\text { Describe the end behavior of the function }$
$g(x)=\left(\frac{2}{3}\right)^{x}$ g(x) \rightarrow ---------- as x \rightarrow-\infty g(x) \rightarrow ---------- as x \rightarrow\infty

(Essay)

Correct Answer:

\(\begin{array}{l}

g(x) \rightarrow \und...

A bank advertises that currently a CD pays 6 % APR compounded daily (use 365 days a year). What is the effective yield on this CD, to the nearest hundredth?

(Short Answer)

List the transformations used to obtain the graph of $g(x)=5 \ln (x-1)+3$ from the graph of $f(x)=\ln x$

(Essay)

Correct Answer:

Vertical stretch by a factor o...

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