Part 3 | Test 2 | Time: 3 hours |
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- Determine on what interval(s) the function
is decreasing.
**a)**- .
**b)**- .
**c)**- Increasing Everywhere.
**d)**- .
**e)**- None of the above.

- Identify any asymptotes of the graph of .
**a)**-
*y*=2. **b)**- .
**c)**-
*x*=-9. **d)**- There are no asymptotes.
**e)**- None of the above.

- If you deposit $5,000 in a trust fund that pays 9.5% interest,
compounded continuously, which of the following values is closest to
the amount that will be in the trust after 50 years. Rounded to the
nearest $1.00.
**a)**- $116.
**b)**- $577,921.
**c)**- $744,130.
**d)**- $14,946.
**e)**- None of the above.

- The population model for a certain town is given by the equation
where

*t*is the time in years, with t=0 corresponding to 1990. What will the population be in 2000?**a)**- .
**b)**- 3,351.
**c)**- 1,865.
**d)**- 6,872.
**e)**- None of the above.

- Find the domain of the function .
**a)**- .
**b)**- .
**c)**- .
**d)**- .
**e)**- None of the above.

- Find the inverse function of the function .
**a)**- .
**b)**- .
**c)**- .
**d)**- .
**e)**- None of the above.

- Use the properties of logarithms to simplify the expression
, and write as a sum difference,
and/or constant multiple of logarithms.
**a)**- .
**b)**- .
**c)**- .
**d)**- .
**e)**- None of the above.

- Evaluate .
**a)**- 2.481262.
**b)**- 4.754921.
**c)**- 1.772095.
**d)**- 2.09691.
**e)**- None of the above.

- Solve .
**a)**- .
**b)**- .
**c)**- .
**d)**- .
**e)**- None of the above.

- Solve .
**a)**- .
**b)**- 0.980829.
**c)**- 0.693147, 0.980829.
**d)**- .
**e)**- None of the above.

- Solve .
**a)**- .
**b)**- 4.
**c)**- .
**d)**- .
**e)**- None of the above.

- Solve .
**a)**- .
**b)**- 5.
**c)**- 1,6.
**d)**- .
**e)**- None of the above.

- The demand equation for a certain product is given by
Find the demands

*x*for price .**a)**- 1426.
**b)**- 1079.
**c)**- 1860.
**d)**- 1513.
**e)**- None of the above.

- How many years will it take your money to double if you deposit
it into a fund paying 10% compounded monthly?
**a)**- 7.27.
**b)**- 10.
**c)**- 241.
**d)**- 6.96.
**e)**- None of the above.

- How many years will it take your money to double if you deposit
it into an account paying 10% simple interest?
**a)**- 7.27.
**b)**- 10.
**c)**- 6.96.
**d)**- 241.
**e)**- None of the above.

- If the half-life of a substance is 500 years, how many years
will it take for 60% of the substance to disappear?
**a)**- 600.
**b)**- 300.
**c)**- 661.
**d)**- 369.
**e)**- None of the above.

- If bacteria is growing at the rate of 10 cells per second, how
long will it take for the culture to reach 1 million cells?
**a)**- 10 seconds.
**b)**- 8 seconds.
**c)**- 5.4216 seconds.
**d)**- 6 seconds.
**e)**- None of the above.

- Divide Which of the following is a power model?
**a)**- .
**b)**- .
**c)**- .
**d)**- .
**e)**- None of the above.

- Find the value of
*b*in the exponential function that passes through the points (0,2) and (4,3).**a)**- 2.
**b)**- -0.101366.
**c)**- 0.101366.
**d)**- 0.292481.
**e)**- None of the above.

- Find the range of the function .
**a)**- .
**b)**- .
**c)**- .
**d)**- .
**e)**- None of the above.

- Find the inverse of the function .
**a)**- .
**b)**- .
**c)**- .
**d)**- .
**e)**- None of the above.

- Solve the following system of equations for
*x*:**a)**- -14.
**b)**- 14.
**c)**- 10.
**d)**- -10.
**e)**- None of the above.

- Solve the following system of equations for y:
**a)**- 3.
**b)**- -2.
**c)**- 4.
**d)**- 1.
**e)**- None of the above.

- Find the value of
*b*in the equation of the parabola that passes through the points (0,6), , and .**a)**- 1.
**b)**- 6.
**c)**- .
**d)**- .
**e)**- None of the above.

- A small corporation borrowed $800,000 to expand its product
line. Some of the money was borrowed at 8%, some at 9%, and some at
10%. How much was borrowed at 9% if the annual interest was
$67,000 and the amount borrowed at 8% was five times the amount
borrowed at 10%.
**a)**- $125,000.
**b)**- $50,000.
**c)**- $625,000.
**d)**- $5,000.
**e)**- None of the above.

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