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kari74 [83]
3 years ago
10

The fox population in a certain region has a relative growth rate of 4% per year. It is estimated that the population in year 20

00 was 17900.(A.) Find a function that models the population t years after 2000 (t=0 for 2000) and (B.) Use the function from part A to estimate the fox population in the year 2008.------> answer must be an integer.
Mathematics
1 answer:
den301095 [7]3 years ago
3 0

Answer:

a) P(t) = 17900e^{0.04t}

b) The population estimated in 2008 is of 24651.

Step-by-step explanation:

The population growth model may be given by the following exponential function:

P(t) = P_{0}e^{rt}

In which P(t) is the population after t years, P_{0} is the initial population and r is the growth rate.

(A.) Find a function that models the population t years after 2000 (t=0 for 2000)

We have that:

P_{0} = 17900, r = 0.04. So

P(t) = P_{0}e^{rt}

P(t) = 17900e^{0.04t}

(B.) Use the function from part A to estimate the fox population in the year 2008.

2008 is 8 years after 2000. So:

P(8) = 17900e^{0.04*8} = 24650.5

The population estimated in 2008 is of 24651.

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What additional information do you need to prove triangle NOP = triangle QSR?
Wewaii [24]
After careful consideration i think I have an answer... 
So if you notice, These two triangles are a reflection of each other. 
Now even though these two triangles equal one another, we still have to consider the fact that they are different. (one side is the opposite of another)
So lets just name all the sides that equal each other. 
∠N = ∠Q
NO = QS
QR = NP
PO = SR
∠S = ∠O 
∠P = ∠R 

(by the way i'm going to be saying {the reflective side} every time i want to refer to the side with the two lines :P) - so bare with me. 

So therefore this would mean that ∠P = ∠S would be false, since one angle is from the side that is reflected and the other isn't. Makes sense?

So lets look over at the answers...

A.) PN = SQ 
For this answer choice, PN is on the non reflective side, while SQ is on the reflective side. Soooo... This answer choice is wrong. 

B.) NO = QR
NO  is part of the  unreflective side, while QR is part of the reflective side. 
Therefore this answer is wrong. They must be part of the same side. 

C.) ∠P = ∠S 
∠P is on the unreflective side, while angle ∠S is on the reflective side. 
There fore this answer is also wrong. 

D.) ∠O = ∠S 
Now ∠O is on the reflective side while ∠S is on the reflective as well. 
There fore this answer is correct . 

YOUR ANSWER IS. 
D.) ∠O = ∠S 

Good Luck! :)


6 0
3 years ago
Toby can but T-shirts in packs of 5 for 13.00 or in packs of 2 for 7.22. How much money does he save by buying 30 T-shirts at th
Helen [10]

Toby saves 30.30 money by buying 30 T-shirts at better price.

Step-by-step explanation:

Cost of pack of 5 T-shirts = 13.00 money.

Cost of pack of 2 T-shirts = 7.22 money.

Toby wants to buy total T-shirts = 30 T-shirts.

<u>Case 1 </u>:

For 30 T-shirts, If Toby buys in packs of 5 T-shirts then the number of packs he should buy = 30/5 = 6 packs.

The cost for six packs of 5 T-shirts =  6*13.00 = 78.00 money.

<u>Case 2 </u>:

For 30 T-shirts, If Toby buys in packs of 2 T-shirts then the number of packs he should buy = 30/2 = 15 packs.

The cost for 15 packs of 2 T-shirts =  15*7.22 = 108.30 money.

The money saved = 108.30 -78.00 = 30.30 money.

Therefore, The better price to buy 30 T-shirts is 78.00 money.

3 0
3 years ago
I WILL GIVE BRAINLIEST!!!
GREYUIT [131]

Answer:

C. -4

I hope this helps!

7 0
3 years ago
Use synthetic division to perform (x^4 - 3x + 5) = (x - 4).
Anastaziya [24]

Answer:

C is correct

Step-by-step explanation:

4 0
3 years ago
Does anyone know how to do this?
Lena [83]

Answer:

Each guest would get 6 party favors.

Step-by-step explanation:

First, we find out how many party favors Amy bought. 3 bags of 12 party favors equals 36 party favors (3x12)

So, divide 36 party favors by 6 guests, and you get the final answer of 6 party favors per guest.

Hope this helps!!

6 0
3 years ago
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