Answer:
m= -1/2, (0,5), (10,0)
Step-by-step explanation:
Let us write it in slope intercept form, y=mx +b where m is the slope:
2x+4y=20
4y= -2x+20
y= -1/2x+5
Therefore, the slope is -1/2
The y intercept can be found when we substitue 0 as x.
y= -1/2*0 +5
y=0+5
y=5
(0,5)
The x intercept can be found when we substitute 0 as y.
0=-1/2x+5
-5 =-1/2x
x= 10
(10, 0)
<em>I hope this helped! :)</em>
Hence missing value in the solution to the equation is:(-5,2)
Step-by-step explanation:
We are given the equation:

and we need to complete the missing value in the solution to the equation
(-5,?)
Since the solution is in the form of ordered pair, so first value represent value of x and second value represents value of y i.e (x,y)
So, x= -5, Now finding y:
Putting value of x in given equation:

So, value of y is 2
Hence missing value in the solution to the equation is:(-5,2)
Keywords: Solving the equation:
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Part 1:
The table showing the decreasing debt is shown as follows:
![\begin{tabular} {|c|c|c|c|} Starting Balance&Interest Accrued&Payment&Closing Balance\\[1ex] \$1,853.42&\$22.39&\$400&\$1,475.81\\\$1,475.81&\$17.83&\$400&\$1,093.64\\\$1,093.64&\$13.21&\$200&\$906.85\\\$906.85&\$10.96&\$200&\$717.81\\\$717.81&\$8.67&\$200&\$526.48\\\$526.48&\$6.36&\$200&\$332.84\\\$332.84&\$4.02&\$200&\$136.86\\\$136.86&\$1.65&\$138.51&- \end{tabular}](https://tex.z-dn.net/?f=%5Cbegin%7Btabular%7D%0A%7B%7Cc%7Cc%7Cc%7Cc%7C%7D%0AStarting%20Balance%26Interest%20Accrued%26Payment%26Closing%20Balance%5C%5C%5B1ex%5D%0A%5C%241%2C853.42%26%5C%2422.39%26%5C%24400%26%5C%241%2C475.81%5C%5C%5C%241%2C475.81%26%5C%2417.83%26%5C%24400%26%5C%241%2C093.64%5C%5C%5C%241%2C093.64%26%5C%2413.21%26%5C%24200%26%5C%24906.85%5C%5C%5C%24906.85%26%5C%2410.96%26%5C%24200%26%5C%24717.81%5C%5C%5C%24717.81%26%5C%248.67%26%5C%24200%26%5C%24526.48%5C%5C%5C%24526.48%26%5C%246.36%26%5C%24200%26%5C%24332.84%5C%5C%5C%24332.84%26%5C%244.02%26%5C%24200%26%5C%24136.86%5C%5C%5C%24136.86%26%5C%241.65%26%5C%24138.51%26-%0A%5Cend%7Btabular%7D)
The column for interest accrued is obtained by the folmular

where P is the month's starting balance.
Part 2:
From the table, the last payment is $138.51
Part 3:
The total amount paid by the time the credit card is payed of is the summation of the "payment" column of the table.
Thus, the total amount is given by:

Part 4:
The debt ratio is given by
Given : Cost of Popcorn = $4.25
Given : Cost of Soda = $2.25
Total Cost of Popcorn and Soda = $4.25 + $2.25 = $6.50
Given : Sales tax on Total Bill = 5%
We need to find 5% of $6.50, in order to have the amount of Sales tax
⇒ 5% of $6.50 = 
⇒ Total Bill = Cost of both Popcorn and Soda + Sales tax on the both
⇒ Total Bill = $6.50 + $0.325 = $6.825