Let y(t) represent the level of water in inches at time t in hours. Then we are given ...
y'(t) = k√(y(t)) . . . . for some proportionality constant k
y(0) = 30
y(1) = 29
We observe that a function of the form
y(t) = a(t - b)²
will have a derivative that is proportional to y:
y'(t) = 2a(t -b)
We can find the constants "a" and "b" from the given boundary conditions.
At t=0
30 = a(0 -b)²
a = 30/b²
At t=1
29 = a(1 - b)² . . . . . . . . . substitute for t
29 = 30(1 - b)²/b² . . . . . substitute for a
29/30 = (1/b -1)² . . . . . . divide by 30
1 -√(29/30) = 1/b . . . . . . square root, then add 1 (positive root yields extraneous solution)
b = 30 +√870 . . . . . . . . simplify
The value of b is the time it takes for the height of water in the tank to become 0. It is 30+√870 hours ≈ 59 hours 29 minutes 45 seconds
Answer: x= 18
Step-by-step explanation:
3x - 16 = 38
38 + 16 = 54
3x/3 = 54/3
X= 18
The answer is one kilogram. one kilogram is about the same as 2 pounds, while one gram is less than an ounce.
Hope this helps!
Answer:
7
Step-by-step explanation:
7
Answer:
Aging schedule
Step-by-step explanation:
An aging schedule can be defined as a schedule that help to shows a company's or an organisation accounts receivables, ordered by their due dates in order for the company or organisation to see if their customers are paying on time reason been that AGING SCHEDULE enables account receivable to be summarized into separate or different time brackets which in turn rank the receivables based upon the days until due or the days past due.
In other word Aging schedule is a table that help to shows a summarized break down of accounts receivable into different time brackets in order for a company or an organisation to easily identify the customers that are extending the time it takes to collect your accounts receivable.
