A bicycle has a listed price of $849.955 before tax. If the sales tax rate is 6.5%, find the total cost of the bicycle with sales tax included. Round your answer to the nearest cent, as necessary.

Answers

Answer 1
Answer:

Answer:

$905.21

Step-by-step explanation:

.065 x 849.955 = 55.25

849.955 + 55.25 = 905.205


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PLEASE HELP !The graph shows the ages of different concertgoers who have backstage passes.

Which statement is true about the graph?

A) A late arrival who is 21 years old with a back-stage pass will make the mean greater than the median.
B) The two holders of back-stage passes whose ages are above 40 make the mean age higher than the median age.
C) The ages of concert-goers with backstage passes are skewed left, so the mean age is less than the median age.
D) A concert-goer who is 18 years old and wins a back-stage pass will pull the mean more than 2 years less than the median.

Answers

In the given graph, we calculate the mean by dividing the product of the midpoint of each age interval and the frequency by the total frequency. Mean = [13.5(3) + 16.5(6) + 19.5(8) + 22.5(6) + 25.5(5) + 28.5(4) + 31.5(3) + 43.5 + 46.5] / (3 + 6 + 8 + 6 + 5 + 4 + 3 + 1 + 1) = 856.5 / 37 = 23.15 The median is given by the middle age interval (i.e. the age interval which falls in the (37 + 1) / 2 = 38 / 2 = 19th position) which is the 21 - 24 age inteval. To get the value of the median we use the formular Median = L1 + C[n/2 - summation (Fl)] / Fm where: L1 is the lower class boundary of the median class, C is the class size, n is the total frequency, summation (Fl) is the summation of all frequencies below the mediam class and Fm is the median class frequency. Median = 21 + 4[37/2 - (3 + 6 + 8)] / 6 = 21 + 4[18.5 - 17] / 6 = 21 + 4(1.5) / 6 = 21 + 6 / 6 = 21 + 1 = 22. Thus the mean of 23.15 is greater than the median of 22. Calculating the mean without the two numbers above 40 gives Mean = (856.5 - 43.5 - 46.5) / 35 = 766.5 / 35 = 21.9 Therefore, the statement that is true about the graph is "The two holders of back-stage passes whose ages are above 40 make the mean age higher than the median age." (option B)

The two holders of back-stage passes whose ages are above 40 making the mean age higher than the median age is correct about the graph.

What is a Graph?

This can be defined as pictorial representation of data or values in an organized manner.

From the graph we can calculate mean.

Mean = [13.5(3) + 16.5(6) + 19.5(8) + 22.5(6) + 25.5(5) + 28.5(4) + 31.5(3) + 43.5 + 46.5] / (3 + 6 + 8 + 6 + 5 + 4 + 3 + 1 + 1)

= 856.5 / 37

= 23.15

Median = (37 + 1) / 2 = 38 / 2 = 19th position between 21 - 24 age interval. Median = L1 + C[n/2 - summation (Fl)] / Fm

where L1 = lower class boundary of the median class, C = class size, n = total frequency, summation (Fl) = summation of all frequencies below median class, Fm= median class frequency.

Median = 21 + 4[37/2 - (3 + 6 + 8)] / 6

= 21 + 4[18.5 - 17] / 6

= 21 + 4(1.5) / 6

= 21 + 6 / 6 = 21 + 1 = 22.

Mean of 23.15 is greater than the median of 22.

Mean without two numbers above 40

= (856.5 - 43.5 - 46.5) / 35 = 766.5 / 35 = 21.9.

Therefore the  two holders of back-stage passes whose ages are above 40 make the mean age higher than the median age which makes option B the most appropriate choice

Read more about Graph here brainly.com/question/25184007

Two perpendicular lines intersect at the origin. If the slope of the first line is 3, what is the equation of the second line?.

Answers

The slope of the line perpendicular to a line with a given slope is its negative reciprocal. Hence, the new slope is -1/3. The equation of the line given slope and point can be generally expressed as,
                                       y - y1 = m(x - x1)
Substituting,
                                      y - 0 = (-1/3)(x - 0)
The final equation would be,
                                      x + 3y = 0

if slope of first line is 3 and is perpendicular to second line
then second line has a slope of -1/3

the area of the field is 6000 square yards. write and solve a formula to find the width of the field

Answers

Answer: For a rectangular shape, the area is equal to the product of th length and the width. so A = L*W

If the area is 6000 yd^(2)

so if you want to know the width you need to solve the equation W = A/L for finding the value of W.

I think in the picture says that L = 60 yds

so W = 6000/60 = 100 yards.

L-lenght
W-width

A = L·W

A = 6000 yd
L = 60 yd

subtitute

60W = 6000    |divide both sides by 60

W = 100 (yd)

for every ton of paper that is recycled, 17 trees are saved.Is it a discrete or a continuous relationship?

Answers

The correct answer is continuous

Answer:

Continuous

Step-by-step explanation:

Hope this helps!

The opposite of 10/7

Answers

The opposite of 10/7 is -10/7.

The reciprocal of 10/7 would be 7/10.
By "opposite" do you mean the reciprocal?

A triangle has two sides of lengths 7 and 12 what value could the third side be

Answers

we know that the longest side of the triangle cannot be longer or equal to the legnth of the sum of the other two sides ( becasue if it was equal, then you would get a straight line)

so if you assume that 12 is longest side then the other sides could be 6

if you assume that the longest side is the third side then the longest side could be 18