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2 years ago

Find the area of the sector, show work please!! 25 points

Mathematics

1 answer:

olasank [31]2 years ago

6 0

OPTION A is the correct answer.

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There are 250 wolves in a national park. the wolf population is increasing at a rate of 16% per year. write an exponential model

Helga [31]

$\qquad \textit{Amount for Exponential Growth} \\\\ A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &250\\ r=rate\to 16\%\to \frac{16}{100}\dotfill &0.16\\ t=\textit{elapsed time} \end{cases} \\\\\\ A=250(1 + 0.16)^{t}\implies A=250(1.16)^t \\\\[-0.35em] ~\dotfill$

$A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\dotfill &1000\\ P=\textit{initial amount}\dotfill &250\\ r=rate\to 16\%\to \frac{16}{100}\dotfill &0.16\\ t=\textit{elapsed time} \end{cases} \\\\\\ 1000=250(1.16)^t\implies \cfrac{1000}{250}=1.16^t\implies 4=1.16^t \\\\\\ \log(4)=\log(1.16^t)\implies \log(4)=t\log(1.16) \\\\\\ \cfrac{\log(4)}{\log(1.16)}=t\implies \stackrel{\textit{about 9 years and 4 months}}{9.34\approx t}$

7 0

1 year ago

Help ASAP

horrorfan [7]

Answer:

p= $\frac{181}{301}$

Step-by-step explanation:

30100 have dogs, 18100 have cats.

The question simply asks for a union scenario thus the law of AND & OR is applicable.

Therefore:-Those who have both cats and dogs partially have cats.

$P(X=both \ cat \ and \ dog)=\frac{18100}{30100}\\p=\frac{181}{301}$

8 0

2 years ago

Read 2 more answers

Help this is due in a few minutes

Genrish500 [490]

Answer:

Either b or e

Step-by-step explanation:

5 0

2 years ago

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How do I find the variable?<br><br> N x 1/5 = 2/15<br><br> N / 1/5 = 1/3

algol [13]

First you need to get all variables on one side. You do that by multiplying the reciprocal of the fraction to everything.
N(5/1) x 1/5(5/1)=2/15(5/1)
5n=2/15 x 5/1
Then solve the multiplication problem
5n= 10/15
Then you should reduce the fraction
5n=2/3
Then divide both sides by 5
5n/5=N
2/3 divided by 5 =2/15

N=2/15

4 0

2 years ago

Two fire rangers in watch towers that are 10 miles apart spotted a fire at the same time. The first ranger indicated that the po

bearhunter [10]

5 miles from the second tower

3 0

3 years ago

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