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2 years ago

A store pays $846 for a carousel. The store marks up the price by 26%. What is the new price?

Mathematics

1 answer:

Semmy [17]2 years ago

5 0

Answer:

$1,065.96

Step-by-step explanation:

you must take 846 and multiply it by the percentage of growth

846 x 1.26

(it is 1.26 because the price is going up 26%, so it is 126% of the price)

you get $1,065.96

I hope this helps!

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Arm Span(x) Height(y)

natita [175]

Answer:

Here's what I get.

Step-by-step explanation:

1. Representation of data

I used Excel to create a scatterplot of the data, draw the line of best fit, and print the regression equation.

2. Line of best fit

(a) Variables

I chose arm span as the dependent variable (y-axis) and height as the independent variable (x-axis).

It seems to me that arm span depends on your height rather than the other way around.

(b) Regression equation

The calculation is easy but tedious, so I asked Excel to do it.

For the equation y = ax + b, the formulas are

$a = \dfrac{\sum y \sum x^{2} - \sum x \sumxy}{n\sum x^{2}- \left (\sum x\right )^{2}}\\\\b = \dfrac{n\sumx y - \sum x \sumxy}{n\sum x^{2}- \left (\sum x\right )^{2}}$

This gave the regression equation:

y = 1.0595x - 4.1524

(c) Interpretation

The line shows how arm span depends on height.

The slope of the line says that arm span increases about 6 % faster than height.

The y-intercept is -4. If your height is zero, your arm length is -4 in (both are impossible).

(d) Residuals

$\begin{array}{cccr}&\textbf{Arm Span} & \textbf{Arm Span}&\\\textbf{Height/in} &\textbf{Actual} & \textbf{Predicted}&\textbf{Residual}\\25 & 19 & 22.3 & -3.3\\40 & 41 & 38.2 & 2.8\\55 & 51 & 54.1 & -3.1\\65 & 67 & 62.6 & 4.4\\ \end{array}$

The residuals appear to be evenly distributed above and below the predicted values.

A graph of all the residuals confirms this observation.

The equation usually predicts arm span to within 4 in.

(e) Predictions

(i) Height of person with 66 in arm span

$\begin{array}{rcl}y& = & 1.0595x - 4.1524\\66 & = & 1.0595x - 4.1524\\70.1524 & = & 1.0595x\\x & = & \dfrac{70.1524}{1.0595}\\\\& = & \textbf{66 in}\\\end{array}\\\text{A person with an arm span of 66 in should have a height of about $\large \boxed{\textbf{66 in}}$}$

(ii) Arm span of 74 in tall person

$\begin{array}{rcl}y& = & 1.0595x - 4.1524\\& = & 1.0595\times74 - 4.1524\\& = & 78.4030 - 4.1524\\& = & \textbf{74 in}\\\end{array}\\\text{ A person who is 74 in tall should have an arm span of $\large \boxed{\textbf{74 in}}$}$

6 0

2 years ago

One bag of apples costs $4. Five bags of apples costs $15. Which has the better unit price?

Ivenika [448]

The first one is $4 per bag, as given

For the he second one, you divide $15 by 4, you got $3,75 per bag

Therefore, the second one has the better unit price

3 0

2 years ago

Read 2 more answers

. The land area of Charlotte, NC is approximately 3 x 102 square miles.

lidiya [134]

Answer:

Option A

Step-by-step explanation:

Land area of Charlotte, NC = $3\times 10^2$ square miles

Scale to be used,

1 square miles = $6.4\times 10^2$ square acres

By this scale,

$3\times 10^2$ square miles = $(6.4\times 10^2)\times(3.2\times 10^2)$ square acres

= $(6.4\times 3)\times 10^{2+2}$

= $19.2\times 10^4$ square acres

= $1.92\times 10^5$ square acres

Therefore, Option A will be the correct option.

7 0

2 years ago

The midpoint of segment QR is M(-2, 9). One end point of segment QR is Q(-8, 12). Find the coordinates of the other endpoint, R.

DanielleElmas [232]

Here,

The midpoint of segment QR is M

m(-2,9) x3=-2,y3=9

Q=(-8,12)x1=-8,y1=12

R=x2,y2

we know that,

$\tt{ m=\dfrac{Q+R}{2} }$ ⠀

So,

x3= $\tt{\dfrac{x1+x2}{2} }$ ⠀

$\tt{-2=\dfrac{-8+x2}{2} }$ ⠀

$\tt{-2×2=-8+x2 }$ ⠀

$\tt{x2=8-4 }$ ⠀

$\tt{x2=4 }$ ⠀

x2=4

now we find the y coordinate y2.

y3= $\tt{\dfrac{y1+y2}{2} }$ ⠀

$\tt{9=\dfrac{12+y2}{2} }$ ⠀

$\tt{9×2=12+y2 }$ ⠀

$\tt{y2=18-12 }$ ⠀

$\tt{y2=6 }$ ⠀

y2=6

Now we get the two coordinate of R

so,

R=(x2,y2)=(4,6)

7 0

2 years ago

In circle A, ∠BAE ≅ ∠DAE.

kirza4 [7]

The image of circle A is missing, so i have attached it;

Answer:

x = 17

Step-by-step explanation:

In Δs EAB and EAD

We are told that;

∠BAE ≅ ∠DAE

AB = AD = AE

Now,

The Two triangles have two corresponding equal sides and the angles between them are equal, thus, we can say that the two triangles are congruent by SAS (Side Angle Side) postulate of congruence

By using the result of congruence, we can say that;

EB ≅ ED

We are given that;

EB = 3x - 24 and ED = x + 10

Thus,

3x - 24 = x + 10

∴ 3 x - 24 = x + 10

Add 24 to both sides to give;

3x = x + 34

Subtract x from both sides to give;

2x = 34

Divide both sides by 2 to give;

x = 17

5 0

3 years ago

Read 2 more answers