Solve the problem.You inherit $10,000 with the stipulation that for the first year the money must be invested in two stocks paying 6% and 11% annual interest, respectively. How much should be invested at each rate if the total interest earned for the year is to be $700?
A. $8000 invested at 6%; $2000 invested at 11%
B. $2000 invested at 6%; $8000 invested at 11%
C. $9000 invested at 6%; $1000 invested at 11%
D. $7000 invested at 6%; $3000 invested at 11%
Answer: A
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Find the derivative of the function.s = t4 tan t
A. 4t3 sec2t B. t4 sec t tan t + 4t3tan t C. - t4 sec2t + 4t3tan t D. t4 sec2t + 4t3tan t
Solve the problem.When exposed to ethylene gas, green bananas will ripen at an accelerated rate. The number of days for ripening becomes shorter for longer exposure times. Assume that the table below gives average ripening times of bananas for several different ethylene exposure times. Plot the data and then find a line approximating the data. With the aid of this line, determine the rate of change of ripening time with respect to exposure time. Round your answer to two significant digits.
A.
-0.15 day per minute
B.
-6.7 days per minute
C.
38 minutes
D.
5.6 days
Use a graphing utility to find or approximate solutions to the equation. If necessary, round your answers to three decimal places.25y2 + 20y + 4 = 0
A. -0.4, -0.4 B. 0.4, -0.4 C. -0.08, -0.5 D. 0.4, 0.4
Evaluate.Let log b A = 2.988 and log b B = 0.36. Find log b .
A. 2.988 B. 3.348 C. 2.628 D. 1.076