Shelby invests $3,000 in a bank account that earns 6% in interest, compounded annually. Thus, the amount of money she has in her account is modeled by M(x) = 3000(1.06) ^x, where x is the number of years the account has been open. A) Sketch a graph of this function in an appropriate window. Only go up to x = 20. B) How do you know this function is invertible? C) What are the units of the input and output of the inverse function, M^-1? D) Using the graph of the original function, estimate the value of M^-1(6000). Round your answer to the nearest whole number. Explain what this value means in a sentence. [Do not use logarithms - just use the graph]
Shelby invests $3,000 in a bank account that earns 6% in interest, compounded annually. Thus, the amount of money she has in her account is modeled by M(x) = 3000(1.06) ^x, where x is the number of years the account has been open. A) Sketch a graph of this function in an appropriate window. Only go up to x = 20. B) How do you know this function is invertible? C) What are the units of the input and output of the inverse function, M^-1? D) Using the graph of the original function, estimate the value of M^-1(6000). Round your answer to the nearest whole number. Explain what this value means in a sentence. [Do not use logarithms - just use the graph]
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 17E
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Shelby invests $3,000 in a bank account that earns 6% in interest, compounded annually. Thus, the amount of money she has in her account is modeled by M(x) = 3000(1.06) ^x, where x is the number of years the account has been open.
A) Sketch a graph of this function in an appropriate window. Only go up to x = 20.
B) How do you know this function is invertible?
C) What are the units of the input and output of the inverse function, M^-1?
D) Using the graph of the original function, estimate the value of M^-1(6000). Round your answer to the nearest whole number. Explain what this value means in a sentence. [Do not use logarithms - just use the graph]
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