Match the exponential function with its graph.II2-IIIIV2-(a)f(x) = -2x---Select- v„(b)....f(x)..2.*--Select---1, 2, 3, or 4(c) f(x) = 2×---Select-- v(d) f(x) = 2-x---Select- v

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Answered: Match the exponential function with its…

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

Chapter5: Exponential And Logarithmic Functions

Section5.5: Exponential And Logarithmic Models

Problem 2ECP

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Suppose that $12,000 is invested in a saving account paying 5.6% interest per year. (a)Write the formula for the amount in the account after t years if interest is compounded monthly. (b)Find the amount in the after 3 years if interest is compounded daily. (c)How long will it take for the amount in the account to grow to $20,000 if interest iscompounded continuously?
An investment account with an annual interest rateof 7 was opened with an initial deposit of 4,000 Compare the values of the account after 9 yearswhen the interest is compounded annually, quarterly,monthly, and continuously.
Suppose an investment account is opened with aninitial deposit of 10,500 earning 6.25 interest,compounded continuously. How much will theaccount be warm after 25 years?
Find an exponential function with horizontal asymptote y = 2 whose graph contains the points (0, 3) and (1, 5).
In this exercise, we consider data from the Statistical Abstract of the United States on the fraction of women married for the first time in 1960 whose marriage reached a given anniversary number. The data show that the fraction of women who reached their fifth anniversary was 0.928. After that, for each one-year increase in the anniversary number, the fraction reaching that number drops by about 2%. These data describe constant percentage change, so it is reasonable to model the fraction M as an exponential function of the number n of anniversaries since the fifth. (a) What is the yearly decay factor for the exponential model?(b) Find an exponential model for M as a function of n. (Let n = 0 represent the fifth anniversary.) M = (c) According to your model, what fraction of women married for the first time in 1960 celebrated their 50th anniversary? (Take n = 45.) Round your answer to three decimal places.
In this exercise, we consider data from the Statistical Abstract of the United States on the fraction of women married for the first time in 1960 whose marriage reached a given anniversary number. The data show that the fraction of women who reached their fifth anniversary was 0.928. After that, for each one-year increase in the anniversary number, the fraction reaching that number drops by about 2%. These data describe constant percentage change, so it is reasonable to model the fraction M as an exponential function of the number n of anniversaries since the fifth.
Sales of a textbook have been declining continuously at a rate of 5% per year since the year 2015 when 5000 copies of the textbook were sold. If this trend were to continue into the indefinite future, estimate, to the nearest whole number, the total future sales of the textbook from 2015 on. How can I use an exponential model of the form Ae^rt to solve this word problem?
A patient takes a 300 mg tablet for the control ofhigh blood pressure every morning at the same time. The concentrationof the drug in the patient’s system decays exponentially ata constant hourly rate of k = 0.12. After the patient has taken the medication for at least six months, what quantity of drug is in the patient’s body just before the next regularly scheduled morning tablet is taken?

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Match the exponential function with its graph. II 2- III IV (a) f(x) = -2x ---Select- v .(b)....f(x)..-2.* --Select--- 1, 2, 3, or 4 (c) f(x) = 2X ---Select- v (d) f(x) = 2-X --Select--