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 have made n monthly payments. Payments n 2 3 Balance B 515.00 478.95 445.42 414.24 (a) Find an exponential model for the data. (Round the values to two decimal places.) B = 600.00 x 0.78" B = 515.00 x 0.93" B = 463.40 x 0.84" B = 399.24 x 1.24" O B = 414.24 × 1.07" (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 1 year? (Use the model found in part (a). Round your answer to two decimal places.)

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter4: Exponential Functions
Section4.2: Constant Percentage Change
Problem 7SBE: Round each percentage increase or decrease that you calculate to the nearest tenth of a percent....
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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
have made n monthly payments.
Payments n
3
Balance B
515.00
478.95
445.42
414.24
(a) Find an exponential model for the data. (Round the values to two
decimal places.)
B = 600.00 x 0.78"
B = 515.00 x 0.93"
B = 463.40 x 0.84"
O B = 399.24 x 1.24"
B = 414.24 x 1.07"
(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 1
year? (Use the model found in part (a). Round your answer to two
decimal places.)
$
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 have made n monthly payments. Payments n 3 Balance B 515.00 478.95 445.42 414.24 (a) Find an exponential model for the data. (Round the values to two decimal places.) B = 600.00 x 0.78" B = 515.00 x 0.93" B = 463.40 x 0.84" O B = 399.24 x 1.24" B = 414.24 x 1.07" (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 1 year? (Use the model found in part (a). Round your answer to two decimal places.) $
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