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College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.1: Exponential Functions
Problem 60SE: The formula for the amount A in an investmentaccount with a nominal interest rate r at any timet is...
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Suppose that Po is invested in a savings account in which interest is compounded continuously at 6.5% per year. That is, the balance P grows at the rate given by the following equation.
dP
= 0.065P(t)
dt
AB
(a)Find the function P(t) that satisfies the equation. Write it in terms of Po and 0.065.
(b)Suppose that $1000 is invested. What is the balance after 1 years?
(c)When will an investment of $1000 double itself?
(a) Choose the correct answer below.
3parts
O A. P(t) = 0.065P, e'
Ов.
Po = P(t) e
0.065t
C. P(t) = P(t) e 0.065t
Question Viewer
D. P(t) = Po e 0.065t
(b) The balance after 1 year is $
(Type an integer or decimal rounded to two decimal places as needed.)
(c) The doubling time is
(Type an integer or decimal rounded to two decimal places as needed.)
year.
Transcribed Image Text:Suppose that Po is invested in a savings account in which interest is compounded continuously at 6.5% per year. That is, the balance P grows at the rate given by the following equation. dP = 0.065P(t) dt AB (a)Find the function P(t) that satisfies the equation. Write it in terms of Po and 0.065. (b)Suppose that $1000 is invested. What is the balance after 1 years? (c)When will an investment of $1000 double itself? (a) Choose the correct answer below. 3parts O A. P(t) = 0.065P, e' Ов. Po = P(t) e 0.065t C. P(t) = P(t) e 0.065t Question Viewer D. P(t) = Po e 0.065t (b) The balance after 1 year is $ (Type an integer or decimal rounded to two decimal places as needed.) (c) The doubling time is (Type an integer or decimal rounded to two decimal places as needed.) year.
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