You get a new credit card and make an initial charge, but then charge nothing else. The table below shows your balance B, in dollars, after you maden monthly payments. Payments n 2 3 Balance B 1168.72 923.48 1080.48 998.90 a) Find an exponential model for the data. b) What was your initial charge? (Use the model found in part a.) c) What will your balance be after you have made payments for 3 years? (Use the model you found in part a.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 68E
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You get a new credit card and make an initial charge, but then charge nothing else. The
table below shows your balance B, in dollars, after you made n monthly payments.
Payments n
1
2
3
Balance B
1168.72
998.90
923.48
1080.48
a) Find an exponential model for the data.
b) What was your initial charge? (Use the model found in part a.)
c) What will your balance be after you have made payments for 3 years? (Use the
model you found in part a.)
Transcribed Image Text:You get a new credit card and make an initial charge, but then charge nothing else. The table below shows your balance B, in dollars, after you made n monthly payments. Payments n 1 2 3 Balance B 1168.72 998.90 923.48 1080.48 a) Find an exponential model for the data. b) What was your initial charge? (Use the model found in part a.) c) What will your balance be after you have made payments for 3 years? (Use the model you found in part a.)
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