dN A chemical substance has a decay rate of 9% per day. The rate of change of an amount N of the chemical after t days is given by 0.090N. dt a) Let No represent the amount of the substance present at t=0. Find the exponential function that models the decay. b) Suppose that 300 g of the substance is present at t=0. How much will remain after 6 days? c) What is the rate of change of the amount of the substance after 6 days? d) After how many days will half of the original 300 g of the substance remain? a) N(t) =

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
Publisher:Lynn Marecek
Chapter10: Exponential And Logarithmic Functions
Section10.5: Solve Exponential And Logarithmic Equations
Problem 10.88TI: Researchers recorded that a certain bacteria population declined from 700,000 to 400,000 in 5 hours...
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A chemical substance has a decay rate of 9% per day. The rate of change of an amount N of the chemical after t days is given by
NP
0.090N
dt
a) Let No represent the amount of the substance present at t=0. Find the exponential function that models the decay.
b) Suppose that 300 g of the substance is present at t=0. How much will remain after 6 days?
c) What is the rate of change of the amount of the substance after 6 days?
d) After how many days will half of the original 300 g of the substance remain?
a) N(t) =|
Transcribed Image Text:A chemical substance has a decay rate of 9% per day. The rate of change of an amount N of the chemical after t days is given by NP 0.090N dt a) Let No represent the amount of the substance present at t=0. Find the exponential function that models the decay. b) Suppose that 300 g of the substance is present at t=0. How much will remain after 6 days? c) What is the rate of change of the amount of the substance after 6 days? d) After how many days will half of the original 300 g of the substance remain? a) N(t) =|
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