A bank account grows by 7% each year. By what percentage does it grow each month? (Round your answer to two decimal places.)  A certain population grows by 20% per decade. What is its percentage growth each year? (Round your answer to two decimal places.) A certain population declines by 3% each year. What is the percentage decline each month? (Round your answer to two decimal places.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter7: Exponents And Exponential Functions
Section7.8: Transforming Exponential Expressions
Problem 18PFA
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A bank account grows by 7% each year. By what percentage does it grow each month? (Round your answer to two decimal places.) 

A certain population grows by 20% per decade. What is its percentage growth each year? (Round your answer to two decimal places.)

A certain population declines by 3% each year. What is the percentage decline each month? (Round your answer to two decimal places.)

An investment declines in value by 4% each month. By what percentage does its value decline in a year? (Round your answer to two decimal places.)

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An overweight man makes lifestyle changes in order to lose weight. His starting weight is 240 pounds and he has set a target weight of 200 pounds. Let t be the time (in months), and let D be the difference (in pounds) between his weight at time t and his target weight. Each month the difference D decreases by 10%.

(a) Make an exponential model of D versus the time t in months since the diet began. D(T)  = 40 x 0.9^t

(b) How long will it take for his weight to reach 215 pounds? (Round your answer to two decimal places.)

*wrong answer 4.47 months 

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