Solve.In 1996, an outbreak of a disease infected 18 people in a large community. By 1997, the number of those infected had grown to 31. Find an exponential growth function that fits the data. (Round decimals to three places.)
A. N(t) = 18e5.44t, where t is the number of years after 1997.
B. N(t) = 18e0.544t, where t is the number of years after 1997.
C. N(t) = 18e5.44t, where t is the number of years after 1996.
D. N(t) = 18e0.544t, where t is the number of years after 1996.
Answer: D
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Divide and/or multiply as indicated. Simplify and leave the numerator and denominator in your answer in factored form.
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Describe the situation with a linear inequality and then solve the inequality.David has $16,000 to invest. He invests $11,000 in a mutual fund that pays 12% annual simple interest. If he wants to make at least $2200 in yearly interest, at what minimum rate does the remainder of the money need to be invested?
A. 15.6% B. 16.6% C. 17.6% D. 19.6%
Provide an appropriate response.Find the particular solution for the differential equation y' = 4x + 7; y(0) = -12.
A. y = 4x2 + 7x - 6 B. y = 2x2 + 7x - 6 C. y = 2x2 + 7x - 12 D. y = 4x2 + 7x - 12
Subtract.(-7x2 - 6) - (-x3 + 4x2 + 5)
A. x3 - 11x2 - 11 B. x3 - 3x2 - 1 C. -6x3 - 2x2 - 5 D. -6x3 + 4x2 - 11