A man with ​$30,000 to invest decides to diversify his investments by placing ​$15,000 in an account that earns 5.2​% compounded continuously and ​$15,000 in an account that earns 6.4​% compounded annually. Use graphical approximation methods to determine how long it will take for his total investment in the two accounts to grow to ​$45,000.       It will take approximately ____ years for his total investment in the two accounts to grow to ​$45,000. ​(Type an integer or decimal rounded to one decimal place as​ needed.)

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.1: Exponential Functions
Problem 67SE: Alyssa opened a retirement account with 7.25 APRin the year 2000. Her initial deposit was 13,500....
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A man with ​$30,000 to invest decides to diversify his investments by placing ​$15,000 in an account that earns 5.2​%
compounded continuously and ​$15,000 in an account that earns
6.4​%
compounded annually. Use graphical approximation methods to determine how long it will take for his total investment in the two accounts to grow to ​$45,000.
 
 
 
It will take approximately ____ years for his total investment in the two accounts to grow to ​$45,000.
​(Type an integer or decimal rounded to one decimal place as​ needed.)
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