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Natalija [7]
3 years ago
14

There are approximately 3,000 bass in a lake. The population grows at a rate of 2% per year. Round answers to the nearest tenth.

Mathematics
2 answers:
Kobotan [32]3 years ago
6 0
4.8 is the answer (sorry if this doesn’t work)
Tamiku [17]3 years ago
5 0

Answer:

years 1–4: 62.4 bass per year

years 5–8: 67.6 bass per year

Step-by-step explanation:

If the population in year n is ...

 p(n) = 3000·1.02^n

then the average rate of change from year 1 to year 4 is ...

 (p(4) -p(1))/(4 -1) = 3000(1.02^4 -1.02^1)/3 = 1020·(1.02^3 -1) ≈ 62.4

The average rate of change for years 1–4 is 62.4 bass per year.

For years 5–8, the rate of change is similarly computed:

 (p(8) -p(5))/(8 -5) = 3000(1.02^8 -1.02^5)/3 = 1000·1.02^5·(1.02^3 -1) ≈ 67.6

The average rate of change for years 5–8 is 67.6 bass per year.

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Answer:

0.6730

Step-by-step explanation:

6 0
3 years ago
I need to know what the volume of the cone in cubic inches please
ivolga24 [154]

Answer:

V = 118 in³

Step-by-step explanation:

The volume of a cone of radius r and height h is V = (1/3)(π)(r^2)(h).

In this case, the volume is V = (1/3)π(3 in)^2·(6 in), or π(18 in³)

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6 0
3 years ago
Pls help find the amount at the end of 6 hours
marshall27 [118]

Answer:

A. 7,348

Step-by-step explanation:

P = le^kt

intitial population = 500

time = 4 hrs

end population = 3,000

So we have all these variables and we need to solve for what the end population will be if we change the time to 6 hours. First, we need to find the rate of the growth(k) so we can plug it back in. The given formula shows a exponencial growth formula. (A = Pe^rt) A is end amount, P is start amount, e is a constant that you can probably find on your graphing calculator, r is the rate, and t is time.

A = Pe^rt

3,000 = 500e^r4

now we can solve for r

divide both sides by 500

6 = e^r4

now because the variable is in the exponent, we have to use a log

log_{e}(6) = 4r

ln(6) = 4r

we can plug the log into a calculator to get

1.79 = 4r

divide both sides by 4

r = .448

now lets plug it back in

A = 500e^(.448)(6 hrs)

A = 7351.12

This is closest to answer A. 7,348

4 0
3 years ago
Increase 250ml by 86%
Alexandra [31]
250=100%
25=10%
12.5=5%
2.5=1%
25*8=200(80%)
12.5+2.5=15(6%)
200+12=215(86%)
250+200=450(186%)
so 450ml is your answer
Hope this helped :)
6 0
3 years ago
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LUCKY_DIMON [66]
2(4x-1) + 3(3-2x)=0
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8x-2+9-6x=0
add like terms
2x+7=0
subtract 7 from both sides
2x= -7
divide both sides by 2
x=-7/2
3 0
3 years ago
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