A bicycle has a listed price of $643.95 before tax. If the sales tax rate is 6.75%, find the total cost of the bicycle with sales tax included. Round your answer to the nearest cent, as necessary.

Answer:

Option 4:  A ║B

Step-by-step explanation:

Given the following statements:

[tex]\displaystyle\mathsf{\overline{X}}[/tex] is ⊥ [tex]\displaystyle\mathsf{\overline{A}}[/tex]

[tex]\displaystyle\mathsf{\overline{X}}[/tex] is ⊥ [tex]\displaystyle\mathsf{\overline{B}}[/tex]

We can apply the Lines Perpendicular to a Transversal Theorem, which states that if two lines intersect and are perpendicular to that same transversal, then those two lines are parallel.  

In the given conditional statement, [tex]\displaystyle\mathsf{\overline{X}}[/tex] ⊥ [tex]\displaystyle\mathsf{\overline{A}}[/tex]  and  [tex]\displaystyle\mathsf{\overline{X}}[/tex] ⊥ [tex]\displaystyle\mathsf{\overline{B}}[/tex], line [tex]\displaystyle\mathsf{\overline{X}}[/tex] is the transversal that cuts through both lines  [tex]\displaystyle\mathsf{\overline{A}}[/tex] and [tex]\displaystyle\mathsf{\overline{B}}[/tex].  

Therefore, lines  [tex]\displaystyle\mathsf{\overline{A}}[/tex] and [tex]\displaystyle\mathsf{\overline{B}}[/tex] are perpendicular to line [tex]\displaystyle\mathsf{\overline{X}}[/tex].  Hence, by the Lines Perpendicular to a Transversal Theorem,  [tex]\displaystyle\mathsf{\overline{A}}[/tex] ║ [tex]\displaystyle\mathsf{\overline{B}}[/tex].  

Answer:

see explanation

Step-by-step explanation:

Using the rule of logarithms

[tex]log_{b}[/tex] x = n ⇒ x = [tex]b^{n}[/tex]

(1)

[tex]10^{8}[/tex] = 100,000,000 ( with b = 10 and n = 8 )

[tex]log_{10}[/tex] (100,000,000) = 8

(2)

[tex]10^{-4}[/tex] = 0.0001 ( with b = 10 and n = - 4 )

[tex]log_{10}[/tex] (0.0001) = - 4

Answer:

8/40 or 1/5

Step-by-step explanation:

2x4=8

8x5=40

That gives us the answer of 8/40 but if you need simplifying just divide 8/40 by 8/8 and you will get the final answer of 1/5

Answer: I'd say the best answer is b.

Step-by-step explanation:

Answer:

81.5

Step-by-step explanation:Cube has all sides of equal dimensions and like that it has 6 faces.

So total surface area of cube is equal to the combined area of all the six faces.

Now each face has equal dimensions so same area

Therefore,

area of a single face =side²

Therefore, area of entire cube = 6 times the area of a single face

= 6 * side²

.

Answer:

-3/4

Step-by-step explanation:

the answer is D newscast

Answer:

180

Step-by-step explanation:

So you can get rid of the zero in the 20 for now and just solve 2 x 9, which is 18. Now you take the zero you got rid of earlier and put it at the end of 18 to get 180.

I hope this helps.

Answer:

180

Step-by-step explanation:

There is two ways you can do this. You can do:

20

x 9

180

This is because you multiply from right to left. 0 x 9 = 0 (anything x 0 always = 0.) And 2 x 9 = 18.

The second way takes a lot longer, but it works. You could do:

20 + 20 + 20 + 20 + 20 + 20 + 20 + 20 + 20 = 180.

Hope this helps.

Answer:

20

Step-by-step explanation:

factors of 20 = 1 2 4 5 10 20

factors of 40 = 1 2 4 5 8 20 10

therefore 20 is the greatest common

Using the least common factor, it is found that it will take 120 days until all four buses return to the terminal on the same day.

To find their least common factor, we factor each number by prime numbers, hence:

6 - 8 - 10 - 15|2

3 - 4 - 5 - 15|2

3 - 2 - 5 - 15|2

3 - 1 - 5 - 15|3

1 - 1 - 5 - 5|5

1 - 1 - 1 - 1

Hence, lcm(6, 8, 10, 15) = 2³ x 3 x 5 = 8 x 15 = 120.

It will take 120 days until all four buses return to the terminal on the same day.

To learn more about the least common factor, you can take a look at https://brainly.com/question/24873870

Answer:

Given: Triangle ABC Prove: m∠A=64°

By the triangle sum theorem, the sum of the angles in a triangle is equal to . Therefore, m∠A+m∠B+m∠C=180°. Using the Substitution Property, (4x)°+90°+(x+10)°=180°. To solve for x, first combine like terms to get 5x + 100 = 180. Using the Response area, 5x = 80. Then, using the division property of equality, x = 16. To find the measure of angle A, use the Response area to get m∠A=4(16)°. Finally, simplifying the expression gets m∠A=150

Answer:The equation of the line that passes through the points (–12, –8) and (–17, –16) is y + 16 = 8/5(x + 17). slope = (-16 + 8)/(-17 + 12) = -8/-5 = 8/5 y + 16 = 8/5(x + 17)

Step-by-step explanation:

We can clearly see that the triangle is an isosceles triangle. This also means that y must equal to 180 - 115. Let's solve.

Since 180 - 115 equals 65, this means that y = 65.

Therefore, our answers are:

Hoped this helped.

[tex]-BrainiacUser1357-[/tex]

Answer:

10^3

Step-by-step explanation:

Answer:

10³

Step-by-step explanation:

10 × 10 × 10 = 10³

51+60= 111 Answers fast rights

Answer:

$3192.5.

Step-by-step explanation:

First $3000 tax is 3000 * 0.02 = $60.

Second $2000 tax is 2000 * 0.03 = $60.

Third $12000 tax is 12000 * 0.05 = $600.

Last $43,000 tax is 43000 * 0.0575 =$2472.5

Total income tax = $3192.5.

We know that:

Now, let's simplify.

Therefore, Anita will need to visit Brookshire 30 more times to receive a free set of dishes.

Hoped this helped

[tex]BrainiacUser1357[/tex]

True or false, depending on the specifics. True, because the gravity makes it go to the ground. False, because gravity is always working, so you don't need to throw the ball. However since it doesn't say that it only happens when you throw it. The answer should be true.

7/10 is to the left of 8/10 and 7/10 is to the right of 3/10. The correct options are

B. To the left of 8/10

C. To the right of 3/10

From the question, we are to determine where 7/10 would be located

7/10 is the same as 0.7

0.7 < 8/10 (0.8)

and

0.7 > 3/10 (0.3)

Hence, 7/10 is to the left of 8/10 and 7/10 is to the right of 3/10. The correct options are

B. To the left of 8/10

C. To the right of 3/10

Learn more on Number line here: https://brainly.com/question/11135636

#SPJ1

Answer:

This usual depicts units in centi-metre

Usually Centi-(and the unit you have)

Step-by-step explanation:

Because it is 1 in 100

100 is what centi means, so centi-metre

Like centipede, an insect with 100 legs

1:100 means 1 in 100

or one centi-metre

Hope this helps!

Answer:

  a) 49

  b) 84

  c) (B) -- always odd

Step-by-step explanation:

We observe that the number of square tiles is the square of the pattern number. The number of circular tiles is 1 more than the pattern number on each side of the square.

  square tiles = n²

  circular tiles = 4(n +1)

__

7² = 49 square tiles are needed for pattern number 7.

__

4(20+1) = 84 circular tiles are needed for pattern number 20.

__

The parity of the number of square tiles matches the parity of the pattern number. (The square of a number has the same parity as the number.) Since 4 is a factor in the number of circular tiles, its parity is always even. The parity of the total number of tiles will match the parity of the pattern number.

When the pattern number is odd, the total number of tiles will always be odd. (B)

There needs to be values to answer the question.

Answer:

the length of rectangle is 27 in

[tex]f(x) = ab^x~\hfill \begin{array}{llll}\textit{we know that}~f(0)=-4\begin{cases}x=0\\f(x)=-4\end{cases}\\\\-4=ab^0\implies -4=a(1)\implies -4=a\end{array}\\\\\\\stackrel{therefore}{f(x)=-4b^x}~\hfill \textit{we also know that}~f(-2)=-64\begin{cases}x=-2\\f(x)=-64\end{cases}[/tex]

[tex]-64=-4b^{-2}\implies \cfrac{-64}{-4}=b^{-2}\implies 16=b^{-2}\implies 16=\cfrac{1}{b^2} \\\\\\ b^2=\cfrac{1}{16}\implies b=\sqrt{\cfrac{1}{16}}\implies b = \cfrac{\sqrt{1}}{\sqrt{16}}\implies b = \cfrac{1}{4} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill f(x)=-4\left( \frac{1}{4} \right)^x~\hfill[/tex]

Answer: depends on the shape of it but mostly equal

Step-by-step explanation: hope it helps

Answer:

The height of the larger window is 15.36 units.

Step-by-step explanation:

Let the height of the larger window be h.

The width and height of smaller window are 5 and 8 respectively.

The width and height of smaller window are 9.6 and h respectively.

It is given that both windows are similar. The corresponding sides of similar figures are proportional.

\frac{5}{9.6}=\frac{8}{h}

9.6

5

=

h

8

5h=8\times 9.65h=8×9.6

5h=76.85h=76.8

Divide both sides by 5.

h=\frac{76.8}{5}=15.36h=

5

76.8

=15.36

Therefore the height of the larger window is 15.36 units.

Answer:

-5

Step-by-step explanation:

I hope this helps!

Answer:

-5

Step-by-step explanation:

The slope of the line in this format is the coefficient of x, or the number in front of x.