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shusha [124]
3 years ago
14

Four friends go out to eat and their meal costs $86.50. The sales tax is 6.75% and they tip the waiter 20%. How much should each

person pay to the nearest cent?
Mathematics
1 answer:
Stolb23 [73]3 years ago
5 0

Answer:

$27.41

Step-by-step explanation:

Meal Cost = $86.50

Sales Tax= 6.75% of the Meal Cost

= 6.75% X 86.50

= 0.0675 X 86.50

=$5.84

They tipped the Waiter 20%

20% of 86.50

=0.2 X 86.50

=$17.30

Total Bill= Meal Cost + Sales Tax + Tip

= 86.50 +5.84 + 17.30

=$109.64

Since the friends are four, each one will be expected to pay:

$109.64/4

=$27.41

Each of the friends should pay $27.41 to the nearest cent.

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3 years ago
The quadratic formula gives which roots for the equation 2x^2 + x - 6 = 0?
Jet001 [13]

Answer:

The roots are x = (\frac{3}{2}, -2), which is given by option C.

Step-by-step explanation:

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

ax^{2} + bx + c, a\neq0.

This polynomial has roots x_{1}, x_{2} such that ax^{2} + bx + c = a(x - x_{1})*(x - x_{2}), given by the following formulas:

x_{1} = \frac{-b + \sqrt{\Delta}}{2*a}

x_{2} = \frac{-b - \sqrt{\Delta}}{2*a}

\Delta = b^{2} - 4ac

In this question, we have that:

2x^2 + x - 6 = 0

Which is a quadratic equation with a = 2, b = 1, c = -6. So

\Delta = 1^{2} - 4*2(-6) = 1 + 48 = 49

x_{1} = \frac{-1 + \sqrt{49}}{2*2} = \frac{6}{4} = \frac{3}{2}

x_{2} = \frac{-1 - \sqrt{49}}{2*2} = \frac{-8}{4} = -2

So the roots are x = (\frac{3}{2}, -2), which is given by option C.

3 0
3 years ago
A 96-ft high transmission tower casts a 72-ft long shadow. An anchor wire runs from the top of the tower to the tip of the shado
galben [10]
See attached picture and check solution below.
We are given with the following values:
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Solving for the height of the ladder:
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tan 53.13° * (72-66) = ladder length
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The answer is letter "B" which is 8 feet.


 

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Step-by-step explanation:

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Answer:

D). (n + 4)^3/5.

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