The island of Manhattan was sold for $24 in 1626. Suppose the money had been invested in an account which compounded interest continuously. (a) How much money would be in the account in the year 2011 for the following yearly interest rates?Pay attention to the units after the answer areas. Round your answers to two decimal places. (i) 4% In the year 2011, there would be about X  billion dollars in the account.   (ii) 7%In the year 2011, there would be about X trillion dollars in the account.   (b) If the yearly interest rate was 6%, in what year would the account be worth one billion dollars?Round your answer to the nearest integer.   The account would be worth one billion dollars in the year :   Enter your answer in accordance to the question statement

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.1: Exponential Functions
Problem 68SE: An investment account with an annual interest rateof 7 was opened with an initial deposit of 4,000...
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The island of Manhattan was sold for $24 in 1626. Suppose the money had been invested in an account which compounded interest continuously.

(a) How much money would be in the account in the year 2011 for the following yearly interest rates?

Pay attention to the units after the answer areas. Round your answers to two decimal places.

(i) 4%
In the year 2011, there would be about X  billion dollars in the account.
 
(ii) 7%

In the year 2011, there would be about X trillion dollars in the account.
 
(b) If the yearly interest rate was 6%, in what year would the account be worth one billion dollars?

Round your answer to the nearest integer.
 
The account would be worth one billion dollars in the year :
 
Enter your answer in accordance to the question statement
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