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Tcecarenko [31]
2 years ago
12

Home depot has an electric drill that regularly sells for $18.50. it is on sale for 20% off. if the sales tax is 6%, what will y

our final cost for the drill be?
Mathematics
1 answer:
inn [45]2 years ago
5 0
18.50/100 = 0.1850
0.1850 x 20 = 3.70
18.50 - 3.70 = 14.80

14.80/100 = 0.1480
0.1480 x 6 = 0.888
14.80 + 0.88 = 15.68

the final cost would be $15.68

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A glass paperweight has a composite shape: a square pyramid fitting exacty on top of an 8 centimeter cube. The pyramid has a hei
ArbitrLikvidat [17]

Answer:

Part 1) The volume of the paperweight is 576\ cm^{3}

Part 2) The total surface area of the paperweight is 400\ cm^{2}

Step-by-step explanation:

Part 1) what is the volume of the paperweight?

we know that

The volume of the paperweight is equal to the volume of the square pyramid plus the volume of the cube

step 1

Find the volume of the pyramid

The volume of the pyramid is equal to

V=\frac{1}{3}BH

where

B is the area of the square base

H is the height of the pyramid

B=8^{2}=64\ cm^{2}

H=3\ cm

substitute

V=\frac{1}{3}(64)(3)=64\ cm^{3}

step 2

Find the volume of the cube

The volume of the cube is equal to

V=b^{3}

V=8^{3}=512\ cm^{3}

step 3

Find the volume of the paperweight

64\ cm^{3}+512\ cm^{3}=576\ cm^{3}

Part 2) what is the total surface area of the paperweight?​

we know that

The total surface area of the paperweight is equal to the surface area of 5 faces of the cube plus the lateral area of the pyramid

step 1

Find the surface area of 5 faces of the cube

SA=5b^{2}

SA=5(8^{2})=320\ cm^{2}

step 2

Find the lateral area of the pyramid

LA=4[\frac{1}{2}bh]

LA=4[\frac{1}{2}(8)(5)]=80\ cm^{2}

step 3

Find the total surface area of the paperweight

320\ cm^{2}+80\ cm^{2}=400\ cm^{2}

8 0
3 years ago
I bought 16 cupcakes and then last week i bought 9 keep the pattern going
lana [24]

Answer:

25

Step-by-step explanation:

4 0
2 years ago
Can someone explain to me what rate of change is and how you figure it out.
Cloud [144]

ROC is often used when speaking about momentum, and it can generally be expressed as a ratio between a change in one variable relative to a corresponding change in another; graphically, the rate of change is represented by the slope of a line.


5 0
3 years ago
Determine the slope from the given graph below:
Greeley [361]

Step-by-step explanation:

the slope is the ratio of "y coordinate difference / x coordinate difference".

so, let's find 2 good points (I mean by that with integer coordinates). I see e.g.

(-1, -1) and (0, -7)

x changes by +1 (from -1 to 0).

y changes by -6 (from -1 to -7).

so, the slope is -6/1 = -6.

D is the right answer.

8 0
2 years ago
Only need question 2
Elza [17]

Answer:

C- all numbers less than 13.

Why these are incorrect:

A- If it was "less than or equal to" the sign would have to be "≤"

B- If it was 'greater than or equal to" the sign would have to be "≥"

D- If it was "greater than" the sign would have to be ">"

4 0
3 years ago
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