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# Algebra 4.1 & 4.2

1) Which of the following is/are TRUE about the graph of y=6e^x ? Select all that apply.
a) It has a range of (6, -â??)
b) It has a horizontal asymptote of y=0
c) It has both an x-intercept and a y-intercept

2) The temperature, in degrees Fahrenheit, of a cup of coffee can be expressed by T(t)=80+105e^-0.045t, where t is measured in minutes. Use this equation to answer the following questions. Round to the nearest degree.

What is the initial temperature of the coffee?
______degrees

What is the temperature of the coffee after 15 minutes?
______degrees

3) The population of a small town was found to coincide with the mathematical model A=Pe^rt, where t is measured in years since 1992. Find the population of the town in the year 2002 if the rate of change r was -0.014 and the population in 1992 was 7670.
________

4) If \$1,500 is invested at 3.9% compounded continuously, what is the accumulated amount in the investment at the end of 11 years? Round to the nearest dollar.
\$_________

5) The doubling time for a certain bacteria is 3.7 hours. How many bacteria are present after 6 hours if there were 3500 initially present? Round to the nearest bacterium.
___________

#### Solution Summary

The Correct Answers are provided.

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