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pogonyaev
4 years ago
13

There is a 2.45% sales tax added to each price. Which means the same? a.Customers pay 1.0245 times the price.

Mathematics
2 answers:
Nataliya [291]4 years ago
7 0

price + sales tax = total price

sales tax = price*.0245

price + price *.0245 = total price

factor out the price

price (1+.0245) = total price

price (1.0245) = total price

a.Customers pay 1.0245 times the price.


Aleks [24]4 years ago
3 0

a.Customers pay 1.0245 times the price. This means that not only do they pay the price for what they buy, but paying 1.0245 times the price includes the tax price as well as the price you are already paying.

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A cylinder has a height of 14 millimeters and a radius of 16 millimeters. What is its volume?
pantera1 [17]

Answer:

11253.76

Step-by-step explanation:

To find the volume of a cylinder we must utilise the volume of cylinder formula which is

→ Volume of cylinder = π × r² × h

Where 'r' is the radius and 'h' is the height so let's start substituting in the values,

→ Volume of cylinder = π × r² × h

⇒ Substitute in 3.14 for π, 14 for 'h' and 16 for 'r'

→ Volume of cylinder = 3.14 × 16² × 14

⇒ Simplify

→ Volume of cylinder = 11253.76

So a cylinder has a height of 14 millimetres and a radius of 16 millimetres has a volume of cylinder 11253.76 inches³

4 0
3 years ago
Evaluate tan(cos^-1 3/5) and assume that all angles are in Quadrant I.
lorasvet [3.4K]

Answer:

Option c

Step-by-step explanation:

We assume that the angle is in the first quadrant.

Observe the attached image.

if u = cos ^{-1}(\frac{3}{5})

So:

cosu = \frac{3}{5}

By definition:

cosu= \frac{adjacent}{hypotenuse}

So:

adjacent side = 3

hypotenuse = 5.

Observe the attached image

We find the opposite side "x" using the Pythagorean theorem.

x=\sqrt{5^2 -3^2} \\x = 4

Then, for the angle u:

tanu = \frac{opposite}{adjacent}\\\\tanu = \frac{x}{3}\\\\tanu = \frac{4}{3}

4 0
3 years ago
Can you help me do this
Alla [95]
With what? .....................???
7 0
3 years ago
Phan earned gross wages of $487.12. Phan's deductions were: $49 in federal withholding taxes, 6.2% in social security taxes, 1.4
iren [92.7K]

Answer:

$360.12

Step-by-step explanation:

Phan's net pay would be equal to the gross wage he receives minus the deductions:

Gross wage= $487.12

Federal withholding taxes= $49

Social security taxes= $487.12*6.2%= $30.2

Medicare taxes= $487.12*1.45%= $7.06

Health insurance= $28.74

Union dues= $12

Net pay= $487.12-$49-$30.2-$7.06-$28.74-$12

Net pay= $360.12

According to this, Phan's net pay is $360.12.

8 0
3 years ago
Find the zeros of the following
julia-pushkina [17]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

13 ) Go...

f(x) =  {x}^{2}  - 2x

0 =  {x}^{2}  - 2x

{x}^{2}  - 2x = 0

Factor x

x(x - 2) = 0

x = 0 \:  \:  \: or \:  \:  \: x - 2 = 0

x = 0 \:  \:  \:  \: or \:  \:  \:  \: x = 2

These are the zeroes.

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

14 ) Go...

f(x) =  {x}^{3}  + 9x + 11x - 21

0 =  {x}^{3}  + 9 {x}^{2}  + 11x - 21

{x}^{3}  + 9 {x}^{2}  + 11x - 21 = 0

(x - 1)(x + 3)(x + 7) = 0

x - 1 = 0 \:  \: or \:  \: x + 3 = 0 \:  \: or \:  \: x + 7 = 0 \\

x = 1 \:  \:  \: or \:  \:  \: x =  - 3 \:  \:  \: or \:  \:  \: x =  - 7 \\

These are the zeroes.

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4 0
3 years ago
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