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Liono4ka [1.6K]
3 years ago
6

Anton bought a picnic cooler. His total bill, with tax, was $7.95.

Mathematics
1 answer:
inna [77]3 years ago
7 0

Answer:

$ 7.50

Step-by-step explanation:

The cost of the picnic cooler would be 100%.

With the 6% sales tax, Anton would pay 106% of the cost if the picnic cooler.

(since 100% +6%= 106%)

106%(picnic cooler)= $7.95

Cost of picnic cooler= 100%(picnic cooler).

Cost of picnic cooler

=  \frac{7.95}{106}  \times 100 \\  = 7.50

Thus, he paid $7.50 for the cooler alone.

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Find the cost of painting a cubical block of side length 3.2 cm, if painting costs $5 per cm2.
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<h3><u>Answer</u>:- </h3>

\longrightarrow \sf \$ \: 307.2

<h3><u>Solution:-</u></h3>

Since painting is done on outer surface of cubical block we will have to find its surface area which is given by-

\green{ \underline { \boxed{ \sf{Surface \: area  \:of  \:Cube = 6a^2}}}}

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\begin{gathered}\\\quad \sf Surface \: area  \:of  \:Cube = 6\times(3.2)^2  \\\end{gathered}

\begin{gathered}\\\implies \quad \sf  6\times 3.2\times3.2   \\\end{gathered}

\begin{gathered}\\\implies \quad \sf  61.44 cm^2  \\\end{gathered}

Now,

\maltese \sf Cost  \:of  \:painting \: 1 \: cm² = \$ 5

\sf Cost \: of \: painting \: 61.44  \:cm²=61.44×5

\sf\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad=\$ 307.2

\leadstoThus it would cost $ 307.2 to paint the entire cubical block.

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The charitable foundation for a large metropolitan hospital is conducting a study to characterize its donor base. In the past, m
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Answer:

The null hypothesis will be that the average annual donor income is less or equal to $ 100,000

Step-by-step explanation:

The claim is mostly treated as alternate hypothesis .

In this question the claim is given as the average annual donor income has increased therefore it is written as

Ha: u > 100,000

The null hypothesis is reverse of the alternate hypothesis

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