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2 years ago

5

Find the Area of RQP Show all the work

1 answer:

fenix001 [56]2 years ago

7 0

Answer: The answer is 73.

Step-by-step explanation:

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A business was valued at £80000 at the start of 2013. In 5 years the value of this business raised to £95000. this is equivalent

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the yearly increase of x% assumes is compounding yearly, so let's use that.

$~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\dotfill &\£95000\\ P=\textit{original amount deposited}\dotfill &\£80000\\ r=rate\to r\%\to \frac{r}{100}\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{yearly, thus once} \end{array}\dotfill &1\\ t=years\dotfill &5 \end{cases}$

$95000=80000\left(1+\frac{~~ \frac{r}{100}~~}{1}\right)^{1\cdot 5}\implies \cfrac{95000}{80000}=\left( 1+\cfrac{r}{100} \right)^5 \\\\\\ \cfrac{19}{16}=\left( 1+\cfrac{r}{100} \right)^5\implies \sqrt[5]{\cfrac{19}{16}}=1+\cfrac{r}{100}\implies \sqrt[5]{\cfrac{19}{16}}=\cfrac{100+r}{100} \\\\\\ 100\sqrt[5]{\cfrac{19}{16}}=100+r\implies 100\sqrt[5]{\cfrac{19}{16}}-100=r\implies 3.5\approx r$

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1 year ago

Tell what you would do to isolate the variable. -5c = 5/24

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To isolate the variable here is what you would do:

−5c= $\frac{5}{24}$

Step 1: Divide both sides by -5.

$\frac{-5c}{-5}$ = $\frac{5}{24}$ (A five was supposed to go underneath the 24 to show the division but whatever)

Answer: c= $\frac{-1}{24}$

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2 years ago

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