A concession stand owner bought some bottles of water for $0.75 each and began selling them for $1.25 each. When he made back all the money he spent, he still had 20 bottles left to sell. What equation can be written to determine the amount of money the owner spent?

Answer:

Step-by-step explanation:

this is correct trust me im learning this and passing the concept h(x)=2+3

and f(x)=3x-2

Here is a tip use desmos it is a graphing calculater and will tell you the answer

Answer:

12.

Step-by-step explanation:

36 = 3 * 12

48 = 4 * 12,

Using it's concept, it is found that the mean absolute deviation of 2.8 means that the heights differ from the mean by an average of 2.8 inches.

In this problem, the mean is given by:

M = (65 + 58 + 64 + 61 + 67)/5 = 63.

Hence the mean absolute deviation is given by:

MAD = (|65-63| + |58-63| + |64-63| + |61-63| + |67-63|)/5 = 14/5 = 2.8.

The mean absolute deviation of 2.8 means that the heights differ from the mean by an average of 2.8 inches.

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Answer:

  5.  x = 17

  7.  x = 2

Step-by-step explanation:

The applicable relation is, "the product of the near distance to the circle and the far distance to the circle is the same for each secant." Distance is measured from the point where the secants intersect.

__

Using the rule, we have ...

  7(7+x) = 8(8+13)

  7+x = 24 . . . . . . . . . divide by 7

  x = 17 . . . . . . . . . . subtract 7

__

The same rule applies.

  7(7 +6x -1) = 9(9 +x +3)

  42x +42 = 9x +108 . . . . . . simplify

  33x = 66 . . . . . . . . . . . . . subtract 9x+42

  x = 2 . . . . . . . . . . . . . . divide by 33

so

number = a e^(kt)

2272 = 1800 e^(5k)

1.26222... = e^5k

ln 1.26222... = 5k

k = .04657.. <----- your hourly growth parameter

the instantaneous rate of growth is appr 4.657% per hour.

Answer:

Graph A

Step-by-step explanation:

Becuase if we rewrite it in slope-intercept form then we get y=3/4x-13/2

Answer:

The Answers are: 1) -3pi/2 & 4) pi/2

Step-by-step explanation:

I got it right!

Answer:

graph C represents this relationship best.

radius= 14 inches

the area of the circle.

[tex]area = \pi {r}^{2} [/tex]

[tex]a = \pi \times {14}^{2} [/tex]

[tex]a = 615.75216[/tex]

[tex]a = 615.75 \: {in}^{2} [/tex]

therefore, the area of the circle is 615.75 square inches.

The area is:

615.44 in²

Work/explanation:

The formula for the area of a circle is:

[tex]\sf{A=\pi r^2}}[/tex]

Where

A = area

π = 3.14

r = radius

Diagram:

[tex]\setlength{\unitlength}{1cm}\begin{picture}(0,0)\thicklines\qbezier(2.3,0)(2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,-2.121)(0,-2.3)\qbezier(2.3,0)(2.121,-2.121)(-0,-2.3)\put(0,0){\line(1,0){2.3}}\put(0.5,0.3){\bf\large 14\ in}\end{picture}[/tex]

Plug in the data:

[tex]\sf{A=3.14\times14^2}\\\\\sf{A=3.14\times196}\\\\\sf{A=615.44\:in^2}[/tex]

[tex]~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$100\\ r=rate\to 6.5\%\to \frac{6.5}{100}\dotfill &0.065\\ t=years\dotfill &6 \end{cases} \\\\\\ A=100e^{0.065\cdot 6}\implies A=100e^{0.39}\implies A\approx 147.70[/tex]

The balance of your account after 6 years with continuous compounding would be approximately $147.56.

To calculate the balance of your account after 6 years with continuous compounding, you can use the formula:

[tex]\[ A = P \times e^{rt} \][/tex]

where:

[tex]\( A \) =[/tex] the balance after [tex]\( t \)[/tex] years

[tex]\( P \) =[/tex]the principal amount (initial investment) = $100

[tex]\( r \) =[/tex] the annual interest rate (in decimal form) = 6.5% = 0.065

[tex]\( t \) =[/tex] the number of years = 6

[tex]\( e \) =[/tex] Euler's number (approximately 2.71828)

Let's plug in the values and calculate the balance:

[tex]\[ A = 100 \times e^{0.065 \times 6} \]\[ A = 100 \times e^{0.39} \]\[ A = 100 \times 1.47560080488 \]\[ A = 147.560080488 \][/tex]

Rounding the answer to the nearest hundredth:

[tex]\[ A \approx $147.56 \][/tex]

So, the balance of your account after 6 years with continuous compounding would be approximately $147.56.

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Answer:

3

Step-by-step explanation:

If he went 18 miles in 6 hours we can simpliy divide 18 by 6 which is 3 miles per hour

Answer: 17a

Step-by-step explanation: additon

Hey there!

x + y

= -19/12 + (-7/5)

= -19/12 - 7/5

= -95/60 + -84/60

= -95/60 - 84/60

= -95 + (-84) / 60 - 0

= -95 - 84 / 60

= -179 / 60

Therefore, the answer should be:

-179 / 60

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

x+y= -2 59/60

Step-by-step explanation:

=-19/12-7/5 = -95-84

60

=-179

60

= -2/59/60

Answer:

D)

Step-by-step explanation:

This is a subjective function and range and co-domain are equal.

Range = {3 , 5 , 7}

Answer: give the proper question

Step-by-step explanation: for solutions

The line plot shown in the graph as 25 repeated 1 time, 25 1/2 repeated 2 times,  26 repeated 1 time, and 27 3/4 repeated 1 time so on.

A line graph is a graph made up of segments of straight lines that connect the depicted data points.

Draw dots on each of the data element in the data set:

25 repeated 1 time

25 1/2 repeated 2 times

26 repeated 1 time

27 3/4 repeated 1 time

28 1/2 repeated two times

And so on.

Thus, the line plot shown in the graph as 25 repeated 1 time, 25 1/2 repeated 2 times,  26 repeated 1 time, and 27 3/4 repeated 1 time so on.

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Answer:

y = 2x + 10

Step-by-step explanation:

Hi there!

We are given the points (-7, -4) and (-6, -2) and we want to write the equation of the line that passes through these points in slope-intercept form

Slope-intercept form is given as y=mx+b, where m is the slope and b is the y intercept

First, we need to find the slope (m) of the line

The slope can be calculated from 2 points using the formula [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are points

We have everything we need to find the slope, but let's label the values of the points to avoid any confusion & and mistakes

[tex]x_1= -7\\y_1=-4\\x_2=-6\\y_2=-2[/tex]

Substitute these values into the formula (note: remember that the formula has subtraction in it!)

m=[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

m=[tex]\frac{-2--4}{-6--7}[/tex]

Simplify

m=[tex]\frac{-2+4}{-6+7}[/tex]

Add the numbers

m=[tex]\frac{2}{1}[/tex]

Divide

m=2

The slope of the line is 2

We can substitute that in:

y = 2x + b

Now we need to find b

As the equation passes through both  (-7,-4) and (-6,-2), we can use either point to help solve for b

Taking (-6, -2) for example:

Substitute -6 as x and -2 as y into the equation.

-2 = 2(-6) + b

Multiply

-2 = -12 + b

Add 12 to both sides

-2 = -12 + b

+12  +12

___________

10 = b

Substitute 10 as b.

y = 2x + 10

Hope this helps!

Topic: Finding the equation of a line

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Answer:

3.33

Step-by-step explanation:

In this case, the number we have is an even number so you can not choose the one in the middle so you would take those two and add the then divide them by how many numbers you have there which would be 6 in the case and then round it to the nearest decimal.

Answer:

triangle: 28cm² | parallelogram: 88cm² | composite: 116cm²

Step-by-step explanation:

Find area of triangle (1/2)(base)(height)

(1/2)(8)(7)

(4)(7)

28cm²

Find area of parallelogram (base)(height)

(8)(11)

88cm²

Add them together to get the composite area

28 + 88 = 116cm²

Answer:

153 1/4 feet

Step-by-step explanation:

Remaining

The cost to buy 10 notebooks and 16 desktop computers is $5550

Cost of notebook computers = $275

Cost of desktop computers = $175 each

The cost to buy 10 notebooks and 16 desktop computers will be:

= 275(10) + 175(16)

= 2750 + 2800

= $5550

The cost to buy n notebooks and d desktop computers will be:

= 275(n) + 175(d)

= 275n + 175d

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Answer:

300g

Explanation:

heat added=specific heat * m * change in temp

705= .235* x*(35-25)

solve for x, thus the answer being 300g

Step-by-step explanation:

Sn=n/2(2a+(n-1)d). n=20

S20= 20/2 (2x5+(20-1)3 a=5

S20=10(10+57). d=8-5=3

S20=10x67

S20= 670

Hope this helps you

have a great day

Answer:

$5.20

Step-by-step explanation:

divide 5 dollars by 26 miles.

26 miles÷ $5 = $5.20

Answer:

Continue to make the minimum monthly payment on all of your debts while putting as much extra money as possible toward your smallest debt

Step-by-step explanation:

Once that debt is paid off, put your extra money toward your next-smallest debt, and so on. The bigger you build your debt snowball, the closer you'll get to debt freedom

Answer: The y-value of the vertex is

Step-by-step explanation: we know that

The equation of a vertical parabola into vertex form is equal to

where

(h,k) is the vertex of the parabola

In this problem we have

-----> this a vertical parabola open upward

Convert to vertex form

Group terms that contain the same variable, and move the constant to the opposite side of the equation

Factor the leading coefficient

Complete the square. Remember to balance the equation by adding the same constants to each side

Rewrite as perfect squares

The vertex is the point

The y-value of the vertex is

Answer:

2.5

Step-by-step explanation: