Answer:
Step-by-step explanation:
Given
Solving (a):
Find k
To solve for k, we use the definition of joint probability function:
Where
Substitute values for the interval of x and y respectively
So, we have:
Isolate k
Integrate y, leave x:
Substitute 0 and x/2 for y
Integrate x
Substitute 0 and 2 for x
Solving (b):
We have:
Where
To find , we use:
So, we have:
Integrate x leave y
Substitute 0 and y/3 for x
Integrate
Substitute 0 and 2 for y
The average daily balance after 20 days is; $1750
<h3>Average Balance</h3>
The initial balance after grace period is; $25,000
Afterwards, A payment of $5,000 each is made on the 10th and 20th day.
Hence, the total balance after 20 days is;
- = $25,000 + $5000 + $5000
The average daily balance is therefore the quotient of $35,000 and 20 days
- The average daily balance = $35,000/20
- Average daily balance = $1750
Read more on average;
brainly.com/question/15418098
Answer:
3 2
/7
Step-by-step explanation:
Divide using long division. The whole number portion will be the number of times the denominator of the original fraction divides evenly into the numerator of the original fraction, and the fraction portion of the mixed number will be the remainder of the original fraction division over the denominator of the original fraction.
X = 59, y = 44
2x + 18 + x - 15 = 180
3x + 3 = 180
3x = 177
x = 59
x - 15 = y
59 - 15 = y
44 = y
Yes the graph does show a proportional relationship because each x value has only one y value