Assume the annual rate of change in the national debt of a country​ (in billions of dollars per​ year) can be modeled by the function D'(t)=847.89 + 824.78t -195.69t^2+14.76t^3   where t is the number of years since 1995. By how much did the debit increase between 1996 and 1999?   The debt increased by $____ billion. (Round to two decimal places as needed.)

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Assume the annual rate of change in the national debt of a country​ (in billions of dollars per​ year) can be modeled by the function
D'(t)=847.89 + 824.78t -195.69t^2+14.76t^3
 
where t is the number of years since 1995. By how much did the debit increase between 1996 and 1999?
 
The debt increased by $____ billion. (Round to two decimal places as needed.)
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