PLEASE HELP I HAVE NO IDEA
2 answers:
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
The table showing the decreasing debt is shown as follows:
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
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Answer:
46 cm
Step-by-step explanation:
It is given that the angle bisector AC divides the trapezoid ABCD into two similar triangles Δ ABC and Δ ACD.
Let us first find the corresponding sides of triangles Δ ABC and Δ ACD.
Since AC is the angle bisector of ∠A,
∠DAC = ∠CAB --- (1)
Also, since ∠DAC and ∠ACB are alternate interior angles,
∠DAC = ∠ACB --- (2)
From (1) and (2),
∠CAB = ∠ACB
Therefore, in Δ ABC,
BC = AB (sides opposite to equal angles are equal)
So, BC = 9 cm.
Now, since ∠DAC = ∠ACB and ∠DAC = ∠CAB, we can take either ∠ACB or ∠CAB as the angle corresponding to ∠DAC. Let us take ∠ACB as the corresponding angle of ∠DAC.
So, the side opposite to ∠DAC in Δ ACD is the corresponding side to the side opposite to ∠ACB in Δ ABC.
That is, the side CD in Δ ACD is the corresponding side to the side AB in Δ ABC.
Now, suppose if the side BC in Δ ABC corresponds to side AD of Δ ACD, then the remaining side AC of Δ ABC should correspond to side AC of Δ ACD which is not possible since they are congruent.
So, the side BC in Δ ABC should correspond to side AC of Δ ACD and the remaining side AC of Δ ABC should correspond to side AD of Δ ACD.
Therefore, we have,
But,
Therefore,
AC = 12 cm
Also,
AD = 16 cm
Now, the perimeter of the trapezoid = AB + BC + CD + AD
= 9 + 9 + 12 + 16
= 46 cm
Answer: 0.0062
Step-by-step explanation:
Given : The weight of trucks traveling on a particular section of I-475 have a population mean of tons and a population standard deviation of
tons.
Sample size : n=49
Let x be the random variable that represents the weight of trucks .
z-score :
For x= 14.3 tons
Now, the probability a state highway inspector could select a sample of 49 trucks and find the sample mean to be 14.3 tons or less will be :-
Hence, the probability a state highway inspector could select a sample of 49 trucks and find the sample mean to be 14.3 tons or less =0.0062
Part A
Total number of litres in the punch = grape juice + lemon lime soda
let grape juice be
, and lemon-lime soda be 
the expression for the total number of litres in the punch is given by
We know the number of litres for the lemon-lime soda, hence the expression is
Part B:
40% of the punch is lemon-lime soda which is 2 litres
That means every 1 litre represents 20% of the punch
60% of the punch is grape-juice, hence 60÷20 = 3 litres of grape juice
Total number of litres in the punch = grape juice + lemon lime soda
let grape juice be
the expression for the total number of litres in the punch is given by
We know the number of litres for the lemon-lime soda, hence the expression is
Part B:
40% of the punch is lemon-lime soda which is 2 litres
That means every 1 litre represents 20% of the punch
60% of the punch is grape-juice, hence 60÷20 = 3 litres of grape juice