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3 years ago

TEN POINTS Answer the question. Deals with functions.

Mathematics

1 answer:

riadik2000 [5.3K]3 years ago

7 0

Answer:C is your answer

The function is limited to y=3

Step-by-step explanation:

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The size P of a small herbivore population at time t (in years) obeys the function P(t) = 1000e0-16t if they have enough food an

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Answer:

After 9 years, the population reach 4000.

Step-by-step explanation:

The given function P(t) represents the size of a small herbivore population at time t (in years).

$P(t)=1000e^{0.16t}$

We need to find the number of years after which population reach 4000.

Substitute P(t)=4000 in the above function.

$4000=1000e^{0.16t}$

Divide both sides by 1000.

$4=e^{0.16t}$

Taking ln on both sides.

$\ln 4=\ln e^{0.16t}$

$1.3863=0.16t$ $[\because \ln e^x=x]$

Divide both sides by 0.16.

$\dfrac{1.3863}{0.16}=t$

$8.664375=t$

We need to find the number of years. So, round the answer to the next whole number.

$t\approx 9$

Therefore, after 9 years, the population reach 4000.

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3 years ago

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Which of the following statements are TRUE? (Select all that apply)

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*TEN POINTS* Answer the question. Deals with functions.

TEN POINTS Answer the question. Deals with functions.