The following graph shows the actual percentage of U.S. households with a computer as a function of household income (the data points) and a logistic model of these data (the curve). The logistic model is
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where x is the household income in thousands of dollars. For low incomes, the logistic model is approximately exponential. Which exponential model best approximates P(x) for small x? Round the coefficients to the nearest hundredth.
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?P(x) = ________ ·( ________)x
What will be an ideal response?
14.56; 1.05
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Find the domain of the vector-valued function. r(t) = 
i + 
j
A. 
< 3
B. 
? 3
C. t > 3
D. t ? 3
Solve the application problem.A rectangular garden has dimensions of 23 feet by 18 feet. A gravel path of equal width is to be built around the garden. How wide can the path be if there is enough gravel for 510 square feet?
A. 7.5 ft B. 5 ft C. 6 ft D. 7 ft
Solve the problem.Suppose that y is directly proportional to x and that y = 30 when x = 5. Find the constant of proportionality k. Then, find y when x = 16.
A. k = 6; y = 96
B. k = - 6; y = - 96
C. k = 150; y = 
D. k = 8; y = 128
Perform the indicated operation. Simplify if possible.
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A. 
B. 
C. 
D. 