3 years ago

Please help fast answer the question in the picture

Mathematics

1 answer:

salantis [7]3 years ago

3 0

Answer:

Rotation 90° counterclockwise about the origin

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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]

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

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

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If sin^2(x) - 2sin(x) = 2, then sin(x) = _____.

alekssr [168]

Let z = sin(x).
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3 years ago

A town has a population of 13000 and grows at 2.5% every year. What will be the population after 5 years, to the nearest whole n

vova2212 [387]

Answer:

The population will be 14708

Step-by-step explanation:

formula

A = P (1+r)^t

Initial population = P = 13000

Growth rate = r = 2.5% = 0.025

Number of years = t = 5 years.

A = 13000 (1+.025)^5 = 14708

brainly.com/question/12498268

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2 years ago

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