Solve the problem.Suppose that the population of a certain town, in thousands, was 105 in 1990 and 141 in 2002. Assume that the population growth can be approximated by a straight line. Find the equation of a line which will estimate the population of the town, in thousands, in any given year since 1990.
A. y = 4.25x + 90 where x is the number of years since 1990
B. y = 3x + 105 where x is the number of years since 1990
C. y = -3x + 177 where x is the number of years since 1990
D. y = 2.5x + 105 where x is the number of years since 1990
Answer: B
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The value V, in dollars, of an investment t years after 2010 is given in the following table. Use an exponential model for these data to determine when the value of the investment will be $18063. Round your answer to two decimal places. t 0 1 2 3 V $6005.00 $6245.20 $6495.01 $6754.81?
A. 4.12 years after 2005 B. 3.58 years after 2005 C. 28.58 years after 2005 D. 28.08 years after 2005
Factor completely.t3 + 64
A. (t - 64)(t2 - 1) B. (t + 4)(t2 - 4t + 16) C. (t - 4)(t2 + 4t + 16) D. (t + 4)(t2 + 16)
Solve the problem.Find the area of the work space for a robotic arm that can rotate between -30° and 45° and can change its length from 6 inches to 21 inches. Round to one decimal place.
A. 47,712.9 in.2 B. 530.1 in.2 C. 265.1 in.2 D. 9.8 in.2
Evaluate the exponential expression.121
A. 121 B. undefined C. 1 D. 12