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Anna11 [10]
3 years ago
14

Trent buys a playground slide priced at $583. If the sales tax is 5%, how much tax will

Mathematics
1 answer:
Nezavi [6.7K]3 years ago
5 0
116.6 should be the answer
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A box of volume 180 m3 with square bottom and no top is constructed out of two different materials. The cost of the bottom is $4
zysi [14]

Answer:

Side of square bottom=6.46 m

Height of box=4.31 m

Step-by-step explanation:

Let s be the side bottom

Height of box=h

Volume of box=180m^3

Volume of box=lbh=s^2h

s^2h=180

h=\frac{180}{s^2}

Cost of bottom=$40 per square  m

Cost of sides =$30 per square  m

Total cost=C=40s^2+30(4sh)

C=40s^2+120s\times \frac{180}{s^2}

C(s)=40s^2+\frac{21600}{s}

Differentiate w.r.t s

C'(s)=80s-\frac{21600}{s^2}

C'(s)=0

80s-\frac{21600}{s^2}=0

80s=\frac{21600}{s^2}

s^3=\frac{21600}{80}=270

s=(270)^{\frac{1}{3}}=6.46

Again,differentiate w.r.t s

C''(s)=80+\frac{43200}{s^3}

Substitute s=6.46

C''(6.46)=80+\frac{43200}{(6.46)^3}=240.2>0

Hence, the cost is minimum at s=6.46

h=\frac{180}{s^2}=\frac{180}{(6.46)^2}=4.31

Side of square bottom=6.46 m

Height of box=4.31 m

5 0
3 years ago
What is the angle of rotation for point G mapped to point H?
alina1380 [7]

The rotation of point G to point H is an illustration of a circular movement

The rotation that maps point G to point H is 72 degrees clockwise

<h3>How to determine the rotation rule?</h3>

From the figure, we have the following parameters:

Number of sections (n) = 5

Angle at the center = 360

The angle of rotation is then calculated as:

Rotation = 360/5

Evaluate

Rotation = 72

Point H is to the left of point G.

This represents a clockwise direction

Hence, the rotation that maps point G to point H is 72 degrees clockwise

Read more about rotation at:

brainly.com/question/4289712

5 0
3 years ago
Ten qualified applicants apply for a part-time job. If the manager randomly hires 3 of them, what is the probability that he hir
hram777 [196]
3/30 (I think) they have a 1/10 of picking the youngest, so that times three
7 0
3 years ago
The final cost of a sale item is determined by multiplying the price on the tag by 75%. Which best describes the function that r
Lelechka [254]

Answer:

Option A) is correct.

Step-by-step explanation:

The final cost of a sale item is determined by multiplying the price on the tag by 75%.

So. if the final cost is represented by $F and the price on the tag is $t, then the relation between  F and t will be  

F = 0.75t.

This relation is linear since the ratio of the change in the final cost compared to the rate of change in the price tag is constant.  

Therefore, option A) is correct. (Answer)

5 0
3 years ago
Read 2 more answers
if you multply two decimals that are less than 1 , can you predict whether the product will be less than or greater than either
nekit [7.7K]
Yes.  Multiplying anything by a number less than one will decrease the original number.  So multiplying two decimals will result in a number less than either one.
7 0
3 years ago
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