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I need help w both parts of question 1

I need help w both parts of question 1

College Algebra
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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I need help w both parts of question 1
A small amount of money is deposited in a savings account with interest compounded continuously. Let A(t) be the balance in the account after t years. Match each of the following answers with its corresponding question. a. Pen b. A(3) c. A(0) d. A'(3) e. Solve A'(t) = 3 for t. f. Solve A(t) =3 for t. g. y' =ry h. Solve A(t) = 3A(0) for t. Drag each answer to its corresponding question. A. How fast will the balance be growing in 3 years? B. Give the general form of the function A(t). C. How long will it take for the initial deposit to triple? D. Find the balance after 3 years. E. When will the balance be 3 dollars? F. When will the balance be growing at the rate of 3 dollars per year?
Transcribed Image Text:A small amount of money is deposited in a savings account with interest compounded continuously. Let A(t) be the balance in the account after t years. Match each of the following answers with its corresponding question. a. Pen b. A(3) c. A(0) d. A'(3) e. Solve A'(t) = 3 for t. f. Solve A(t) =3 for t. g. y' =ry h. Solve A(t) = 3A(0) for t. Drag each answer to its corresponding question. A. How fast will the balance be growing in 3 years? B. Give the general form of the function A(t). C. How long will it take for the initial deposit to triple? D. Find the balance after 3 years. E. When will the balance be 3 dollars? F. When will the balance be growing at the rate of 3 dollars per year?
A small amount of money is deposited in a savings account with interest compounded continuously. Let A(t) be the balance in the account after t years. Match each of the following answers with its corresponding question. B. Give the general form of the function A(t). C. How long will it take for the initial deposit to triple? D. Find the balance after 3 years. E. When will the balance be 3 dollars? F. When will the balance be growing at the rate of 3 dollars per year? G. What was the principal amount? H. Give a differential equation satisfied by A(t). Drag your answer(s) to the correct position.
Transcribed Image Text:A small amount of money is deposited in a savings account with interest compounded continuously. Let A(t) be the balance in the account after t years. Match each of the following answers with its corresponding question. B. Give the general form of the function A(t). C. How long will it take for the initial deposit to triple? D. Find the balance after 3 years. E. When will the balance be 3 dollars? F. When will the balance be growing at the rate of 3 dollars per year? G. What was the principal amount? H. Give a differential equation satisfied by A(t). Drag your answer(s) to the correct position.
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