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777dan777 [17]
3 years ago
6

The deer population at the local reserve grows exponentially. The current population is 125 deer and the relative growth rate is

16% per year. Find the number of years required for the deer population to be 400.
Mathematics
1 answer:
DENIUS [597]3 years ago
6 0

Answer:

About 7.84 years before the deer population is 400

Step-by-step explanation:

So first we write our equation

125(1.16)^x = 400

Then we divide all sides by 125

1.16^x=3.2

x log 1.16 = log 3.2

06445798922x=0.50514997832

x= 7.83688700862

7.83688700862 years to go!

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Problem 5.A miner is trapped inside a mine and has access to 3 doors. The first door leads to a tunneland can take him to safety
Likurg_2 [28]

Answer:

Expected time is 15 hours for him to get to safety.

Step-by-step explanation:

We define X as the time that this miner would get to safety.

We define Y as the door he chooses initially.

P(Y= 1) = P(Y=2)=P(Y=3) = 1/3

We have E[X|Y=1] = 3

E[X|Y] = 5 hours + E[X}

E[X|Y] = 7 hours + E[X]

Then we have

E[X] = 1/3(3 + 5 + E[X] + 7 + E[X])

We cross multiply

3*E[X] = (15 + 2E[x])

3E[X] - 2E[X] = 15

E[X] = 15

So the time it would take to get him to safety is 15 hours

5 0
3 years ago
If x = -3, what is the value of (1 - x)^3? Explain why
Anna007 [38]
Hello,

To find the value of (1 - x)³ when x = -3, you just need to substitute x = -3 into the given expression. 

(1 - (-3)³
(1 + 3)³
4³
64

Your final answer is D, 64. Hopefully it helps! :D
5 0
3 years ago
The cost of 7 scarves is $43.75. What is the unit price?
Lisa [10]
The unit price is $6.25 because $43.75 divided by 7 is $6.25
5 0
3 years ago
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Given g(x) = -x + 3, solve for x when g(x) = -1.
cluponka [151]

Answer:

4

Step-by-step explanation:

It's ok! This is simple. Simply plug in your given values. Since g(x) = -1, plug that into the equation.

g(x) = -x + 3

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7 0
3 years ago
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ElenaW [278]

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4 0
3 years ago
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