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Cerrena [4.2K]
3 years ago
11

1.An item is priced at $14.67. If the sales tax is 7%, what does the item cost including sales tax?

Mathematics
1 answer:
liubo4ka [24]3 years ago
5 0
1. Firstly, you've got to find 1% and multiply this by 7. You do this by dividing $14.67 by 100. 14.67/100= 0.1467. 0.1467x7= 1.0269 (1.03 rounded)
You then add these together, and this gives you $15.70

2. For this, you've got to add the percentage decrease (10/.01) to 1, and then multiply $45.26, and this gives you $49.786 (essentially $50 rounded)

3. You've got to divide the smaller number (43.20) by the larger number (180), and this gives you 0.24, and you've then got to multiply this by 100, giving you 24%. Therefore, he received a 76% discount.

4. The best thing to do here is to divide the larger number (300) by the smaller number (5), and this gives you 60, therefore, the average speed of the train is 60 miles per hour.

Hope this helps :)
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Write the standard form of the equation of the line through (4, 4) and parallel to y = -6x + 5.
valina [46]

Answer:

y

=

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y

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28

Step-by-step explanation:

5 0
2 years ago
Can anyone help me please?
Mariulka [41]
Help with what? I am not sure what other question you asked that you need help on. What is the question?
6 0
3 years ago
Need help on this one question please
Elan Coil [88]
P(x, y) Q(x,y)
P(-2, -1) start at 0. Go to the left two squares, then go down 1 square. mark a point there
Q(2, 4) start at 0. Go to the right two squares, go up 4 squares. mark a point there.
connect two points
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Then use the pythereom 
4^{2} + 5^{2} = (PQ)^{2}
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6 0
3 years ago
Simplify -10(10w-6-w)-w
kompoz [17]

Answer:

-91w + 60

Step-by-step explanation:

to simplify this -10(10w-6-w)-w

we have,

-10(10w-6-w)-w

-100w + 60 + 10w - w

-91w + 60

6 0
3 years ago
How do I do question 9 & 11? Please help thank you!
Novay_Z [31]
<h2>9.</h2><h3>Given</h3>
  • sphere with radius 15 cm
<h3>Find</h3>
  • linear approximation to the volume when the radius increases 0.4 cm
<h3>Solution</h3>

The equation for volume of a sphere is

... V = (4/3)π·r³

Differentiating gives

... dV = 4π·r²·dr

Filling in the given numbers gives

... change in volume ≈ 4π·(15 cm)²·(0.4 cm)

... = 360π cm³ ≈ 1130.97 cm³ . . . . . . volume of layer 4mm thick

<h2>11.</h2><h3>Given</h3>
  • an x by x by 2x cuboid with surface area 129.6 cm²
  • rate of change of x is 0.01 cm/s
<h3>Find</h3>
  • rate of change of volume
<h3>Solution</h3>

The area is that of two cubes of dimension x joined together. The area of each such cube is 6x², but the two joined faces don't count in the external surface area. Thus the area of the cuboid is 10x².

The volume of the cuboid is that of two cubes joined, so is 2x³. Then the rate of change of volume is

... dV/dt = (d/dt)(2x³) = 6x²·dx/dt

We know x² = A/10, where A is the area of the cuboid, so the rate of change of volume is ...

... dV/dt = (6/10)A·dx/dt = 0.6·(129.6 cm²)(0.01 cm/s)

... dV/dt = 0.7776 cm³/s

5 0
3 years ago
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