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Dima020 [189]
4 years ago
14

Ariana and Sean went out to dinner with their parents. The price paid for their meal was $75.60 before taxes. The sales tax rate

is 7.50%. They leave a tip of 20% of the total. What was the total amount they paid for dinner?
Mathematics
1 answer:
KengaRu [80]4 years ago
6 0

Answer: $97.524

Step-by-step explanation:

First let's calculate the price after the tax rate:

converting 7.50% to a decimal = 0.0750 now we multiply the sales tax by 75.60 which equals $5.67 add it to 75.60 = 81.27 (our new total)

Now let's calculate the tip. Again turning 20% to a decimal = .20 now multiplying by 81.27 = 16.254. Adding 16.254 to 81.27 we get our final answer: $97.524

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Answer:

3rd one. The general form of a circle is set equal to the radius squared. So right side is 4 then plug in values until true.

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3 years ago
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Find out the number of combinations and the number of permutations for 8 objects taken 6 at a time. Express your answer in exact
umka2103 [35]

Solution:

The permutation formula is expressed as

\begin{gathered} P^n_r=\frac{n!}{(n-r)!} \\  \end{gathered}

The combination formula is expressed as

\begin{gathered} C^n_r=\frac{n!}{(n-r)!r!} \\  \\  \end{gathered}

where

\begin{gathered} n\Rightarrow total\text{ number of objects} \\ r\Rightarrow number\text{ of object selected} \end{gathered}

Given that 6 objects are taken at a time from 8, this implies that

\begin{gathered} n=8 \\ r=6 \end{gathered}

Thus,

Number of permuations:

\begin{gathered} P^8_6=\frac{8!}{(8-6)!} \\ =\frac{8!}{2!}=\frac{8\times7\times6\times5\times4\times3\times2!}{2!} \\ 2!\text{ cancel out, thus we have} \\ \begin{equation*} 8\times7\times6\times5\times4\times3 \end{equation*} \\ \Rightarrow P_6^8=20160 \end{gathered}

Number of combinations:

\begin{gathered} C^8_6=\frac{8!}{(8-6)!6!} \\ =\frac{8!}{2!\times6!}=\frac{8\times7\times6!}{6!\times2\times1} \\ 6!\text{ cancel out, thus we have} \\ \frac{8\times7}{2} \\ \Rightarrow C_6^8=28 \end{gathered}

Hence, there are 28 combinations and 20160 permutations.

7 0
1 year ago
ANT
ExtremeBDS [4]

Answer:

Algebra Examples

Popular Problems Algebra Find the Axis of Symmetry f(x)=x^2-5 f(x)=x2−5 Set the polynomial equal to y to find the properties of the parabola. y=x2−5

Rewrite the equation in vertex form.

y=(x+0)2−5 Use the vertex form,  y=a(x−h)2+k, to determine the values of a, h, and k.a=1h=0k=−5

Since the value of a is positive, the parabola opens up.

Opens Up

Find the vertex

(h,k).(0,−5)

Find p, the distance from the vertex to the focus.

14 Find the focus.

(0,−194)

Find the axis of symmetry by finding the line that passes through the vertex and the focus.

x=0

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What is the next number in the sequence? 7, 16, 8, 27, 9,
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- 2(x+5) = -2<br> Directions say solve for the equation
erik [133]

Answer:

x = -4

Step-by-step explanation:

Distribute:

-2(x + 5) = -2

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Multiply:

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Add 10 on both sides:

-2x - 10 = -2

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Divide by -2 on both sides:

-2x = 8

/-2     /-2

x = -4

3 0
4 years ago
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