How long, to the nearest year, will it take an investment to triple if it is continuously compounded at 15% per year?
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Round the answer to the nearest year.
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__________ years
Fill in the blank(s) with the appropriate word(s).
Answer: 7
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Solve.Beaufort Canal has a semi-elliptical cross section with a width W = 56 feet and a depth D = 12 feet (see figure). The keel on Sasha's yacht rides 4 feet below the water line at the keel's deepest point. If the yacht travels parallel to the canal, and assuming the canal is completely full of water, how close can Sasha bring the yacht's centerline to the edge of the canal without running aground? (The keel is the very bottom of a boat hull and runs directly below the boat's centerline from front to back.)
A. 7 ft B. 3 ft C. 21 ft D. 4 ft
Interpret the linear equation.The speed of a ball dropped from a tower is given by the linear function y = 32x where y is in feet per second and x is the number of seconds since the ball was dropped. Find and interpret the slope and y-intercept of the linear equation.
A. m = 32; The speed of the ball is 32 feet per second. b = 0; When the ball is dropped at x = 0, the ball has fallen 0 feet. B. m = 0; The speed of the ball does not increase as time passes. b = 32; At time x = 0, the ball has fallen 32 feet. C. m = 32; The speed of the ball increases 32 feet per second every second. b = 0; The speed of the ball was 0 the moment it was dropped. D. m = 32; The speed of the ball increases 32 feet per second every second. There is no y-intercept to interpret.
Find the focus and directrix of the parabola with the given equation.x2 = -16y
A. focus: (0, -4) directrix: y = -4 B. focus: (0, 4) directrix: y = -4 C. focus: (0, -4) directrix: y = 4 D. focus: (-8, 0) directrix: x = 4
Joe and Bryan have been comparing their investment portfolios for several years. Joe claims that his portfolio of only stocks has a better record than Bryan's portfolio that is 20% stocks and 80% bonds. Let x be a random variable representing the annual percent return for Joe's portfolio and let y be a random variable representing the annual return on Bryan's portfolio. Use this information to calculate the coefficient of variation for Bryan's portfolio. Round your answer to two decimal places.
a. 75.8%
b. 131.92%
c. 65.31%
d. 125.15%
e. 153.11%