Suppose that Po is invested in a savings account in which interest is compounded continuously at 6.1% per year. That is, the balance P grows at the rate given by the following equation dP = 0.061P(t) dt (a)Find the function P(t) that satisfies the equation. Write it in terms of P, and 0.061. (b)Suppose that $500 is invested. What is the balance after 3 years? (c)When will an investment of $500 double itself? (a) Choose the correct answer below. O A. P(1) = P() e 0.0611 O B. Po = P(t) e 0.0611 OC. P(t) = 0.061Poe O D. P(t) = Po e0.061 (b) The balance after 3 year is $ (Type an integer or decimal rounded to two decimal places as needed.)

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Suppose that Po is invested in a savings account in which interest is compounded continuously at 6.1% per year. That is, the balance P grows at the rate given by the following equation.
dP
= 0.061P(t)
dt
%3D
(a)Find the function P(t) that satisfies the equation. Write it in terms of Po and 0.061.
(b)Suppose that $500 is invested. What is the balance after 3 years?
(c)When will an investment of $500 double itself?
(a) Choose the correct answer below.
O A. P(t) = P(t) e 0.061t
O B. Po = P(t) e °
В.
0.061t
OC. P(t) = 0.061Poel
O D. P(t) = Poe0.061t
%3D
(b) The balance after 3 year is $
(Type an integer or decimal rounded to two decimal places as needed.)
(c) The doubling time is year.
(Type an integer or decimal rounded to two decimal places as needed.)
Click to select your answer(s).
CE
O Type here to search
prt c
home
F6
Transcribed Image Text:Suppose that Po is invested in a savings account in which interest is compounded continuously at 6.1% per year. That is, the balance P grows at the rate given by the following equation. dP = 0.061P(t) dt %3D (a)Find the function P(t) that satisfies the equation. Write it in terms of Po and 0.061. (b)Suppose that $500 is invested. What is the balance after 3 years? (c)When will an investment of $500 double itself? (a) Choose the correct answer below. O A. P(t) = P(t) e 0.061t O B. Po = P(t) e ° В. 0.061t OC. P(t) = 0.061Poel O D. P(t) = Poe0.061t %3D (b) The balance after 3 year is $ (Type an integer or decimal rounded to two decimal places as needed.) (c) The doubling time is year. (Type an integer or decimal rounded to two decimal places as needed.) Click to select your answer(s). CE O Type here to search prt c home F6
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