Answer:
the clock will represent 4.5 billion years as 2.67 hours
Step-by-step explanation:
Data provided in the question:
Total time of history of Earth = 4.5 billion years
Representation of total time of history of Earth on clock = 12 hours
Therefore,
4.5 billion years = 12 hours
or
⇒ 1 billion year = 
or
⇒ 1 billion year = 2.67 hours
Hence,
the clock will represent 4.5 billion years as 2.67 hours
Answer:
anything with denominators of 9
Step-by-step explanation:
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
Answer:
a) x=12
b) x=8.71
c) x=10.95
d) x=3.92
e) x=5.152
Step-by-step explanation:
a) x=12.
To have a probability of 0.5, x must be the mean of X.
b) x=8.71
c) x=10.95
d) x=3.92
If we define Y=X-12, then
For z=1.96, the probability around the mean is 0.95. Then:
e) x=5.152
As in the question d, the area around the mean now is 0.99. This happens when z=2.576. Then:
