Question
Asked Oct 23, 2019
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The initial size of a particular substance is 75. After 3 hours the substance count is 4500.
6.
Find a function n(t) = ne" that models the population after t hours. Round your answer to four
а.
decimal places.
Find the population after 5 hours. Round to one decimal place
b.
After how many hours will the number of bacteria reach 10,000? Give an exact AND an approximate
answer rounded to one decimal place.
С.
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The initial size of a particular substance is 75. After 3 hours the substance count is 4500. 6. Find a function n(t) = ne" that models the population after t hours. Round your answer to four а. decimal places. Find the population after 5 hours. Round to one decimal place b. After how many hours will the number of bacteria reach 10,000? Give an exact AND an approximate answer rounded to one decimal place. С.

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Expert Answer

Step 1

Given function which models the population after t hours is

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n(t) ne

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Step 2

(a)Given that initial size of a particular substance is 75. After 3 hours the substance is count is 4500. So,

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At t 0 75 ne ng75 Which gives n(t) 75e ...(1 And at t-3 in (1) 4500 75e3 e3 60 3r In 60 In 60 3 r 1.3648 Which gives the function that mode ls the population after t hours (2) n(t) = 75e136481

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Step 3

(b)Population aft...

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At t 5 n(5) = 75e136485 n(5) 75e68239 n(5) 75 x919.5643 n(5) 68967.3

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