The rate of growth of the population of a city is predicted to be the following, where p is the population at time t is measured in years from the present. dp dt = 1000t1.07 Suppose that the current population is 100,000. (a) What is the predicted rate of growth 9 years from the present? (Round your answer to the nearest integer.) people per year (b) What is the predicted population 9 years from the present? (Round your answer to the nearest integer.)

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 14EQ
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The rate of growth of the population of a city is predicted to be the following, where p is the population at time t is measured in years from the present.

 
dp
dt
 = 1000t1.07

Suppose that the current population is 100,000.

(a) What is the predicted rate of growth 9 years from the present? (Round your answer to the nearest integer.)
people per year

(b) What is the predicted population 9 years from the present? (Round your answer to the nearest integer.)
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