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Evaluating Exponential Functions Use a calculator to evaluate the function at the indicated values. Round your answers to three decimals.
10.
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Precalculus: Mathematics for Calculus (Standalone Book)
- OTHER APPLICATION Attitude Change Social psychologist have found that as the discrepancy between the view of a speaker and those of an audience increase to a point but decrease when the discrepancy becomes too large particular if the communicator is viewed by the audience as having low credibility, Suppose that the degree of change can be approximated by the function D(x)=x4+8x3+80x2 Where x is the discrepancy between the view of the speaker and those of the audience as measure by score on a question-naira. Find the amount of discrepancy the speaker should aim for to maximize the attitude change in the audience. Source: Journal of Personality and Social Psychology.arrow_forwardMedical Literature It has been observed that there has been an increase in proportion of medical research papers that use the word novel in the title or abstract, and that this proportion can be accurately modeled by the function p(t)=0.001131e0.1268t, where t is the number of years since 1970. Source: Nature. a. Find p(40). b. If the phenomenon continues, estimate the year in which every medical article will contain the word novel in its title or abstract. c. Estimate the rate of increase in the proportion of medical papers using this word in the year 2010. d. Explain some factors that may be contributing to researchers using this word.arrow_forwardThe annual percentage yield (APY) of an investmentaccount is a representation ofthe actual interest rateearned on a compounding account. It is based on acompounding period of one year. Show that the APYof an account that compounds monthly can be foundwith the formula APY=(1+r12)121.arrow_forward
- The height h of a projectile is a function of the time t it is in die air. The height in feet for t seconds is given by the function h(t)=-16t2+96t . What is the domain of die function? What does the domain mean in the context of die problem?arrow_forwardHouse appreciation A house purchased for 250,000 is expected to appreciate according to the formula f(x)=16,500x+250,000, where f(x) is the value of the house after x years. Find its value of the house 5 years later.arrow_forward
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