3 years ago

Which jar is the best value? Please show working :) 10 points correct answer :)

Mathematics

1 answer:

pochemuha3 years ago

5 0

Answer:

Large Jar : £1.54÷440g= 0.0035

Small Jar : £1.26÷340= 0.0037058

0.0035<0.0037058

Large Jar is the best value.

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An investment declines in value by 3% each month. By what percentage does its value decline in a year ?

babunello [35]

$\bf \qquad \qquad \textit{Annual Yield Formula}
\\\\
~~~~~~~~~~~~\left(1+\frac{r}{n}\right)^{n}-1
\\\\
\begin{cases}
r=rate\to 3\%\to \frac{3}{100}\to &0.03\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{monthly, thus twelve}
\end{array}\to &12
\end{cases}
\\\\\\
\left(1+\frac{0.03}{12}\right)^{12}-1\implies 1.0025^{12}-1~~\approx ~~ 0.03041596
\\\\\\
r\%=0.03041596\cdot 100\implies r\approx\stackrel{\%}{3.04}$