Suppose that $17,668 is invested at an interest rate of 6.1% per year, compounded continuously. a) Find the exponential function that describes the amount in the account after time t, in years. b) What is the balance after 1 year? 2 years? 5 years? 10 years? c) What is the doubling time?

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter4: Exponential And Logarithmic Functions
Section: Chapter Questions
Problem 11T: Suppose that $12,000 is invested in a saving account paying 5.6% interest per year. (a)Write the...
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Suppose that $17,668 is invested at an interest rate of 6.1% per year, compounded continuousily.
a) Find the exponential function that describes the amount in the account after time t, in years.
b) What is the balance after 1 year? 2 years? 5 years? 10 years?
c) What is the doubling time?
a) The exponential growth function is P()=.
(Type exponential notation with positive exponents. Do not simplity. Use integers or decimals for any numbers in the equation.)
Transcribed Image Text:Suppose that $17,668 is invested at an interest rate of 6.1% per year, compounded continuousily. a) Find the exponential function that describes the amount in the account after time t, in years. b) What is the balance after 1 year? 2 years? 5 years? 10 years? c) What is the doubling time? a) The exponential growth function is P()=. (Type exponential notation with positive exponents. Do not simplity. Use integers or decimals for any numbers in the equation.)
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