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saw5 [17]
3 years ago
10

If you bought a hamburger for $10.25 and a soda for $4.53 and had $9 left over, then how much money did you originally have?

Mathematics
1 answer:
Marat540 [252]3 years ago
7 0
$23.78 you originally had
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<img src="https://tex.z-dn.net/?f=%5Csf%20Solve%5C%3A%20for%5C%3A%20x%3A-" id="TexFormula1" title="\sf Solve\: for\: x:-" alt="\
Mandarinka [93]

Answer:

x = 3

Step-by-step explanation:

=> 4x-5x+9=5x-9

=> -x-5x = -9-9

=> -6x = -18

=> x = 18/6

=> x = 3

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\bf \qquad \textit{Compound Interest Earned Amount}\\\\A=P\left(1+\frac{r}{n}\right)^{nt}\quad \begin{cases}A=\textit{accumulated amount}\to &8000\\P=\textit{original amount deposited}\\r=rate\to 5\%\to \frac{5}{100}\to &0.05\\n=\begin{array}{llll}\textit{times it compounds per year}\\\textit{is only once, so}\end{array}\to &1\\t=years\to &3\end{cases}

\bf 8000=P\left(1+\frac{0.05}{1}\right)^{1\cdot 3}\implies 8000=P(1.05)^3\implies \cfrac{8000}{1.05^3}=P\\\\\\6910.70\approx P\implies  \stackrel{\textit{rounded up}}{6911 = P}\qquad  therefore\qquad 6911~~\leqslant ~~P

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