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DaniilM [7]
3 years ago
13

Jane baked 48 cupcakes to sell at a table in a farmer's market. She paid $20.00 to rent the table space at the market and the co

st of the ingredients to make the cupcakes was $14.00.
Jane plans to sell all 48 cupcakes individually and for the same price.

If Jane hopes after selling all 48 cupcakes to make at least $100 in profit once she has subtracted the cost of her expenses, then what is the smallest amount she should sell each cupcake for?

$
helppp plz i will mark brainliest
Mathematics
1 answer:
sertanlavr [38]3 years ago
6 0

Answer:

You would need to sell each cupcake for at least 2.80$

Step-by-step explanation:

If you sell each cupcake at 2.80$ you will make 134.4$

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\bf \begin{array}{clclll}
3^{1001}&\qquad &4^{1002}\\
\uparrow &&\uparrow \\
a&&b
\end{array}\\\\
-----------------------------\\\\
(a+b)^2-(a-b)^2\implies (a^2+2ab+b^2)-(a^2-2ab+b^2)
\\\\\\
a^2+2ab+b^2-a^2+2ab-b^2\implies 2ab+2ab\implies 4ab
\\\\\\
now\qquad 4(3^{1001})(4^{1002})=k12^{1001}\qquad 
\begin{cases}
12^{1001}\\
(4\cdot 3)^{1001}\\
4^{1001}\cdot 3^{1001}
\end{cases}

\bf \\\\\\
4(3^{1001})(4^{1002})=k(4^{1001}\cdot 3^{1001})\implies \cfrac{4(3^{1001})(4^{1002})}{4^{1001}\cdot 3^{1001}}=k
\\\\\\
4\cdot \cfrac{3^{1001}}{3^{1001}}\cdot \cfrac{4^{1002}}{4^{1001}}=k\implies 4\cdot 4^{1002}4^{-1001}=k\impliedby 
\begin{array}{llll}
\textit{same base}\\
\textit{add the}\\
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\end{array}
\\\\\\
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