money to buy a used car, which costs $2600. She comes up with what she thinks is a very modest savings plan. She decides to save 2 cents the first day and double the amount she saves each day thereafter. On the second day she plans to save 4 cents, on the third day, 8 cents, and so on. (a) Write an expression that represents the amount saved on day n; (b) Write an expression that represents the total amount saved by day n (including day n); (c) Determine how long it will take her to save enough money to buy the car

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Group Problem 6
A student decides she wants to save money to buy a used car, which costs $2600. She comes up with what she thinks is a very modest savings plan. She decides to save 2 cents the first day and double the amount she saves each day thereafter. On the second day she plans to save 4 cents, on
the third day, 8 cents, and so on.
(a) Write an expression that represents the amount saved on day n;
(b) Write an expression that represents the total amount saved by day n (including day n);
(c) Determine how long it will take her to save enough money to buy the car (The answer may surprise you!)

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