Find the rate of change and the initial value for both group n individual session
Find the rate of change and the initial value for - 1

Answers

Answer 1
Answer: for\ the\ group:\nthe\ rate\ of\ change=29.50\ [\$]\n\n39.50+29.50=69.00\n69.00+29.50=98.50\n98.50+29.50=128.00\n128.00+29,50=157.50\n\nthe\ inital\ value=39.50-29.50=10.00\ [\$]\n---------------------\nfor\ the\ individual:\nthe\ rate\ of\ change=19.50\ [\$] \n\n29.50+19.50=49.00\n49.00+19.50=68.50\n68.50+19.50=88.00\n88.00+19,50=107.50\n\nthe\ inital\ value=29.50-19.50=10.00\ [\$]
Answer 2
Answer: All you have to do to solve this is subtract the first value in a row from the second value in that row, for example $69 - $39.5. That's the rate of change. If you want to check your work, you could subtract the second from the third or the third from the fourth etc. to see if they match. To find the initial value, just subtract the rate of change from the first-hour value.

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What is 0.021 in fraction form?

Answers

Convert the decimal to a fraction by placing the decimal number over a power of ten. Since there are three numbers to the right of the decimal point, place the decimal number over 10^3 (1000)
= 21/1000

Three vertices of a square have coordinates (5, 1), (2, -2), and (-1, 1). What are the coordinates of the fourth vertex?

Answers

plot the points
we notice that the square is tilted diagnaol

remember that the legnths of the diagonals of a square are equal


therefor the distance between the points (5,1) and (-1,1) is the same as the ohter diagonal (distance is 6)

the other point is probably that disance up or the y vairable
(2,-2)+6 on the y
-2+6=4
(2,4)
answer is (2,4)

Consider the equation 5x+7=22What two operations are represented in this equation??

How would you "undo" each of those operations

Which operation should you "undo" first why?? Please I need help

Answers

The two operations being represented are subtraction and division. ( subtract 7 from 22, then you have 5x=15, and then divide by 5 to get x=3) to "undo" it you would just use the opposite if each operation (so use addition to add 7 back to 15, and then multiply 5 times 3 to get the original equation on 5x+7=22. I assume you would undo it in the reverse order that you did it the first time. Hope that helped!
You should subtract 7 from both sides and then divide by 4 on both sides and that will be you answer for x and then plug in x to make sure you have the correct answer

The price of an item yesterday was 110. Today the price fell to 33 find the percentage decrease

Answers

The amount of the decrease is    (110 - 33) = 77

The decrease as a fraction of the original amount is  ( 77 / 110 ) .

As a decimal,  77/110 = 0.7 .

To change a decimal to a percent, move
the decimal point two places that way  ==> .

                                 0.7  ==>  70% .
110-100%
33-x
X=30
100-30=70% is the answer

Thelma and Laura start a lawn-mowing business and buy a lawnmower for $225. They plan to charge $15 to mow one lawn. They would like to earn a profit of at least $750Part A: Define a variable to represent the unknown quantity in this situation.

Part B: Write an inequality to represent the amount of money charged per lawn, the cost of the lawnmower and the profit.

Answers

Answer:

I got  65

Step-by-step explanation:

The profit will be given as:

P=$15x−$225  

(where we subtracted the cost of the mower) so that  P=$750

x will be the required number of needed lawns.

We need to solve:

$750=$15x−$225  

rearranging:

x=$750+$225 /  $15  =65  lawns

If 4x^2 - 100 = 0, what are the roots of the equation?

Answers

the roots to this equation i s either positive or negative five
Positive or negative 5