I need to know number 3!

Mathematics

1 answer:

ludmilkaskok [199]3 years ago

7 0

B. Because it equals 37/36

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Money is borrowed at 9% simple interest. After one year, $1178.29 pays off the loan. How much was originally borrowed?

qwelly [4]

$\bf ~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\dotfill&1178.29\\ P=\textit{original amount deposited}\dotfill \\ r=rate\to 9\%\to \frac{9}{100}\dotfill &0.09\\ t=years\dotfill &1 \end{cases} \\\\\\ 1178.29=P(1+0.09\cdot 1)\implies 1178.29=P(1.09)\implies \cfrac{1178.29}{1.09}=P \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill 1081=P~\hfill$

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3 years ago

Please help if u know i will mark brainiest

agasfer [191]

Answer:

the image is not clear can you send another one

Step-by-step explanation:

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3 years ago

Find the derivative of f(x) = x/6 at x = -2.

AfilCa [17]

$f'(x_0)=\lim\limits_{x\to x_0}\dfrac{f(x)-f(x_0)}{x-x_0}\\\\f(x)=\dfrac{x}{6};\ x_0=-2\\\\subtitute\\\\f'(-2)=\lim\limits_{x\to-2}\dfrac{\frac{x}{6}-\frac{-2}{6}}{x-(-2)}=\lim\limits_{x\to-2}\dfrac{\frac{x}{6}+\frac{2}{6}}{x+2}=\lim\limits_{x\to-2}\dfrac{\frac{x+2}{6}}{x+2}\\\\=\lim\limits_{x\to-2}\left(\dfrac{x+2}{6}\cdot\dfrac{1}{x+2}\right)=\lim\limits_{x\to-2}\dfrac{1}{6}=\dfrac{1}{6}$