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A store's sales (in thousands of dollars) grow according to the recursive rule Pn=Pn-1+ 15, with initial population Po=40. a. Calculate P1 and P2 b. Find an explicit formula for Pn c. Use your formula to predict the store's sales in 10 years d. When will the store's sales exceed $100,000?

A store's sales (in thousands of dollars) grow according to the recursive rule Pn=Pn-1+ 15, with initial population Po=40. a. Calculate P1 and P2 b. Find an explicit formula for Pn c. Use your formula to predict the store's sales in 10 years d. When will the store's sales exceed $100,000?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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**A store’s sales (in thousands of dollars) grow according to the recursive rule:** \[ P_n = P_{n-1} + 15 \] **with initial population \( P_0 = 40 \).** **Tasks:** a. Calculate \( P_1 \) and \( P_2 \). b. Find an explicit formula for \( P_n \). c. Use your formula to predict the store’s sales in 10 years. d. When will the store’s sales exceed $100,000?
Transcribed Image Text:**A store’s sales (in thousands of dollars) grow according to the recursive rule:** \[ P_n = P_{n-1} + 15 \] **with initial population \( P_0 = 40 \).** **Tasks:** a. Calculate \( P_1 \) and \( P_2 \). b. Find an explicit formula for \( P_n \). c. Use your formula to predict the store’s sales in 10 years. d. When will the store’s sales exceed $100,000?
**Problem: A Store's Sales Growth** A store’s sales (in thousands of dollars) grow according to the recursive rule \( P_n = P_{n-1} + 15 \), with initial population \( P_0 = 40 \). a. Calculate \( P_1 \) and \( P_2 \) b. Find an explicit formula for \( P_n \) c. Use your formula to predict the store’s sales in 10 years d. When will the store’s sales exceed $100,000?
Transcribed Image Text:**Problem: A Store's Sales Growth** A store’s sales (in thousands of dollars) grow according to the recursive rule \( P_n = P_{n-1} + 15 \), with initial population \( P_0 = 40 \). a. Calculate \( P_1 \) and \( P_2 \) b. Find an explicit formula for \( P_n \) c. Use your formula to predict the store’s sales in 10 years d. When will the store’s sales exceed $100,000?
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