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maxonik [38]
3 years ago
7

The sales tax in your city is 4.4% and an item costs $3 before tax. How much tax would you pay on that item?

Mathematics
1 answer:
Softa [21]3 years ago
5 0

\bf \begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{4.4\% of 3}}{\left( \cfrac{4.4}{100} \right)3}\implies 0.132

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Alan is building a garden shaped like a rectangle with a semicircle attached to one short side. If he has 70 feet of fencing to
viktelen [127]

The dimension that would give the maximum area is 20.8569

<h3>How to solve for the maximum area</h3>

Let the shorter side be = x

Perimeter of the semi-circle is πx

Twice the Length of the longer side

[70-(\pi )x -x]

Length = [70-(1+\pi )x]/2

Total area =

area of rectangle + area of the semi-circle.

Total area =

x[[70-(1+\pi )x]/2] + [(\pi )(x/2)^2]/2

When we square it we would have

70x +[(\pi /4)-(1+\pi)]x^2

This gives

70x - [3.3562]x^2

From here we divide by 2

35x - 1.6781x^2

The maximum side would be at

x = 35/2*1.6781

This gives us 20.8569

Read more on areas and dimensions here:

brainly.com/question/19819849

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7 0
2 years ago
What is the value of y if 6y -2 = 34
julia-pushkina [17]

Answer:

y = 6

Step-by-step explanation:

Given

6y - 2 = 34 ( add 2 to both sides )

6y = 36 ( divide both sides by 6 )

y = 6

6 0
3 years ago
Read 2 more answers
Which shows one way to determine the factors of x3 – 12x2 – 2x + 24 by grouping?
kkurt [141]

Option D: x^{2} (x-12)-2(x-12) is the solution

Explanation:

The given expression is x^2-12x^2-2x+24

We need to determine the factors of the expression by grouping.

The solution can be determined by factoring the common terms in the expression.

Let us group the expression.

(x^2-12x^2)+(-2x+24)

Let us factor out the common terms from the two groups.

Thus, we have,

x^{2} (x-12)-2(x-12)

Thus, the factors of the expression is x^{2} (x-12)-2(x-12)

4 0
3 years ago
Read 2 more answers
The table shows the height of water in a pool as it is being filled. A table showing Height of Water in a Pool with two columns
Lady bird [3.3K]

Answer:

Correct Answer: A.

Step-by-step explanation:

A) The height of the water increases 2 inches per minute.

Step-by-step explanation:

Slope is the rate of change of height

m = (16 - 12)/(4 - 2) = 4/2 = 2

2 inch per min

Positive slope implies increase

6 0
3 years ago
HELP ME, seriously no one has helped me yet
larisa [96]

Answer: Lunch:$16 Coffee: $4 Julie had $12 left.

Step-by-step explanation:

3 0
3 years ago
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