1 .		In a certain country, the rate of increase of the population is proportional to the population P(t). In fact, . Suppose that initially the country's population is 50,000, and that 10 years later there are 500,000 people. Which of the following equations expresses this information mathematically?
2 .		The size of an insect colony t days after its formation is . Approximately how many insects are there after 10 days?    690   54,598   6,900   7,389
3 .		A certain radioactive substance is decaying at a rate proportional to the amount present. If 100 grams decay to 13.5 grams in 4 years, how long will it take for 90 grams to decay to 30 grams?ln(.135)/4 yrs.    ln(.135)/4 yrs.   4ln (.3)/ln(.135) yrs.   -4ln (.3)/ln(.135) yrs.   Problem cannot be solved as stated.
4 .		Radioactive Carbon 11 has a half-life of 20 minutes. If there are 200 grams present at the start of our experiment, how many grams will remain after 10 minutes?    100 g.   50 g.   150 g.
5 .		$1000 is invested at 6% interest (per annum) compounded semi-annually. What is the value of the investment after 5 years?          none of the above
6 .		How long will it take for an investment to triple if interest is paid at 10% per annum, compounded continuously?    8.6 years   3 years   30 years   11 years
7 .		A high-yield savings account pays 20% interest, compounded continuously. How long will it take an initial investment of $2500 to grow to $20,000?    (1/2) ln 8 yrs.   5 ln 8 yrs.   5 ln (1/8) yrs.   50 ln 8 yrs.
8 .		A high school student deposits a $500 graduation gift in a bank account which pays 4.8% interest compounded continuously. How much will the account be worth after 18 months?
9 .		Suppose a manufacturer can sell units of a product when the price is p dollars per unit. Determine the elasticity of demand, E(p), when the price is p = eight dollars.    E(8) = 4   E(8) = 2   E(8) = 1   E(8) = 6
10 .		The function satisfies which of the following differential equations?
11 .		Let be the number of cases of measles in a certain school t days after the first case is reported. Which of the following best describes the spread of the disease?    After the first day there are 100 cases, after which the number of cases decreases daily to 0.   Initially, the disease spreads quickly, but then the rate of increase slows so that the number of cases never exceeds 100.   The disease spreads quickly until the number of cases reaches 100; then gradually the number of cases decreases.   The number of cases decreases according to exponential decay.
12 .		Let . What is ?
13 .		If the relative rate of change of a function f is always 5, what kind of equation will f be represented by? (There should be one constant in your answer.)
14 .		A bank pays 2.5% interest on deposits. What is the return on a $1000 deposit after two years if interest is compounded continuously?
15 .		Suppose that the value of a certain investment after t years can be approximated by the function .Use a logarithmic derivative to determine the percentage rate of increase in the value of the investment when t = 8 years.    4% per year   8% per year   10% per year   2 % per year