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Elena L [17]
3 years ago
9

Which scenario could be represented by the algebraic expression 365/y?

Mathematics
2 answers:
Valentin [98]3 years ago
6 0
Barb wants to divide the days in a year by a number, option 3.
snow_tiger [21]3 years ago
4 0

Answer: Barb wants to divide the days in a year by a number.

Step-by-step explanation:

The given expression is \frac{365}{y}  [365 divided by y], where y be any arbitrary number.

The given expression has numerator as 365 and denominator as y which can be any number.

We know that , the number of days in one year = 365

Hence, from the given option the right scenario which could be represented by the algebraic expression is "Barb wants to divide the days in a year by a number.

"

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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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