1.Suppose that an equation for investments and savings is described by an exponential function:Where I is the level of investments in an economy, S is the level of savings, Y is the grossdomestic product, P is the total population, and & and a are constants.a. Derive a linear (in parameters) equation from the exponential function with In In i as theleft-hand side variable and s (saving rate) on the right-hand side. Note that i =(investment per capita) and s =b. Identify the slope and intercept in the derived equation in (a). What could be therelationship between i and s? Provide an economic explanation.c. Derive a formula of the slope parameter in the linear equation in (a) for the interpretationof the changes in the variables. Interpret the resulting equation.

Given information: An equation for investments and savings is described by an exponential function.

Answered: Suppose that an equation for…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The population of a southern city follows the exponential law. Use this information to answer parts a and b. (a) If N is the population of the city and t is the time in years, express N as a function of t N(t)= No e (Type an expression using t as the variable and in terms of e.) (b) If the population doubled in size over 30 months and the current population is 40,000, what will the population be 3 years from now? kt The population will be approximately people. (Do not round until the final answer. Then round to the nearest whole number as needed.)
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U.S. health-care expenditures have been growing exponentially during the past two decades. In 2008, expenditures were 2.4 trillion dollars with a growth rate of 9%. Lawmakers hope to decrease the annual growth rate to 2%. Compare the two rates graphically and algebraically as follows. (a) For each growth rate, find an exponential model for the health-care expenditures t years since 2008. f9%(t) = f2%(t) = (c) Find the predicted health-care expenditures in 2020 for each model. (Round your answer to two decimal places.) f9%(12) = trillion dollars f2%(12) = trillion dollars

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