Bethany needs to borrow $12,000. She can borrow the money at 6.5% simple interest for 4 yr or she can borrow at 4% with interest compounded continuously for 4 yr. (a) How much total interest would Bethany pay at 6.5% simple interest? (b) How much total interest would Bethany pay at 4% interest compounded continuously? (c) Which option results in less total interest? Part 1 of 3

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter7: Systems Of Equations And Inequalities
Section7.2: Systems Of Linear Equations: Three Variables
Problem 64SE: You inherit one hundred thousand dollars. You invest it all in three accounts for one year. The...
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Bethany needs to borrow $12,000. She can borrow the money at 6.5% simple interest for 4 yr or she can borrow at 4% with interest compounded continuously
for 4 yr.
(a) How much total interest would Bethany pay at 6.5% simple interest?
(b) How much total interest would Bethany pay at 4% interest compounded continuously?
(c) Which option results in less total interest?
Part 1 of 3
(a) How much total interest would Bethany pay at 6.5% simple interest?
At 6.5% simple interest, the total interest Bethany would pay is $
Part 2 of 3
(b) How much total interest would Bethany pay at 4% interest compounded continuously?
At 4% interest compounded continuously, the total interest Bethany would pay is $
Transcribed Image Text:Bethany needs to borrow $12,000. She can borrow the money at 6.5% simple interest for 4 yr or she can borrow at 4% with interest compounded continuously for 4 yr. (a) How much total interest would Bethany pay at 6.5% simple interest? (b) How much total interest would Bethany pay at 4% interest compounded continuously? (c) Which option results in less total interest? Part 1 of 3 (a) How much total interest would Bethany pay at 6.5% simple interest? At 6.5% simple interest, the total interest Bethany would pay is $ Part 2 of 3 (b) How much total interest would Bethany pay at 4% interest compounded continuously? At 4% interest compounded continuously, the total interest Bethany would pay is $
(c) Which option results in less total interest?
(Choose one)
Vresults in less total interest.
6.5% simple interest for 4 yr
4% interest compounded continuously for 4 yr
Transcribed Image Text:(c) Which option results in less total interest? (Choose one) Vresults in less total interest. 6.5% simple interest for 4 yr 4% interest compounded continuously for 4 yr
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