Create the required linear function an use it to answer the question.In 1995 the United States recovered 22% of its municipal wastes through recycling, up from 17% in 1990. Let P represent the percentage recycled and t the number of years since 1990. Based on these two data points, create a linear equation for the function that describes how P varies as a function of time. Use this function to predict the percentage recycled in 2003.

A. 30%
B. 28.1%
C. 26.4%
D. 31.7%


Answer: A

Mathematics

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Provide an appropriate response.Graph f(x) = (x - 5)2ex and its first derivative together. Comment on the behavior of f in relation to the signs and values of f' Identify significant points.

What will be an ideal response?

Mathematics

Solve.10,500 college students were asked to name their favorite sport. Of this group,  said basketball,  said soccer,  said baseball,   said they had no favorite sport, and the remainder said volleyball. How many named each sport? 

A. Basketball: 3,500 Soccer: 2,100 Baseball: 1,800 Volleyball: 2,575 None: 525 B. Basketball: 3,500 Soccer: 2,100 Baseball: 1,750 Volleyball: 2,635 None: 515 C. Basketball: 3,500 Soccer: 2,100 Baseball: 1,750 Volleyball: 2,625 None: 525 D. Basketball: 3,500 Soccer: 2,050 Baseball: 1,750 Volleyball: 2,675 None: 525

Mathematics

Solve the problem.How long does it take $1125 to triple if it is invested at 7% interest, compounded quarterly? Round your answer to the nearest tenth.

A. 15.8 years B. 18.1 months C. 15.8 months D. 18.1 years

Mathematics

Find the axis of symmetry of the given function.f(x) = x2 - 10x + 27

A. x = 0 B. x = -5 C. x = 5 D. x = 2

Mathematics