A chemical substance has a decay rate of 8.7% per day. The rate of change of an amount N of the chemical after t days is given by = - 0.087N 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 400 g of the substance is present at t = 0. How much will remain after 2 days? c) What is the rate of change of the amount of the substance after 2 days? d) After how many days will half of the original 400 g of the substance remain? .... -0.087t a) N(t) = No e b) After 2 days, 336 g will remain. (Round to the nearest whole number as needed.) c) After 2 days, the rate of change is -29.2 g/day. (Round to one decimal place as needed.) d) Half of the substance will remain after days. (Round to one decimal place as needed.)
A chemical substance has a decay rate of 8.7% per day. The rate of change of an amount N of the chemical after t days is given by = - 0.087N 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 400 g of the substance is present at t = 0. How much will remain after 2 days? c) What is the rate of change of the amount of the substance after 2 days? d) After how many days will half of the original 400 g of the substance remain? .... -0.087t a) N(t) = No e b) After 2 days, 336 g will remain. (Round to the nearest whole number as needed.) c) After 2 days, the rate of change is -29.2 g/day. (Round to one decimal place as needed.) d) Half of the substance will remain after days. (Round to one decimal place as needed.)
Chapter6: Exponential And Logarithmic Functions
Section6.1: Exponential Functions
Problem 60SE: The formula for the amount A in an investmentaccount with a nominal interest rate r at any timet is...
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1
Transcribed Image Text:dN
= - 0.087N.
dt
A chemical substance has a decay rate of 8.7% per day. The rate of change of an amount N of the chemical after t days is given by
a) Let No represent the amount of the substance present at t= 0. Find the exponential function that models the decay.
b) Suppose that 400 g of the substance is present at t = 0. How much will remain after 2 days?
c) What is the rate of change of the amount of the substance after 2 days?
d) After how many days will half of the original 400 g of the substance remain?
0.087t
a) N(t) = No e
b) After 2 days, 336 g will remain.
(Round to the nearest whole number as needed.)
c) After 2 days, the rate of change is - 29.2 g/day.
(Round to one decimal place as needed.)
d) Half of the substance will remain after
days.
(Round to one decimal place as needed.)
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