A budget is a periodical compilation of the estimated revenue earned and expenses incurred within a given time period
Monthly income calculation
James monthly income is calculated as follows;
Monthly income = 
The required <u>James' monthly personal budget </u>is presented as follows;
Based on the above monthly income, the monthly personal budget is found by entering the given values in a budget template as follows;
Savings 
$944.
Learn more about how to make a budget here:
brainly.com/question/14080312
Answer:
The pretzels are 20% of the total weight of the snack.
Step-by-step explanation:
Total weight 12 + 20 + 8 = 40
So 8 / 40 = 20%
C = is the correct answer
Answer:
The value of x that gives the maximum transmission is 1/√e ≅0.607
Step-by-step explanation:
Lets call f the rate function f. Note that f(x) = k * x^2ln(1/x), where k is a positive constant (this is because f is proportional to the other expression). In order to compute the maximum of f in (0,1), we derivate f, using the product rule.
We need to equalize f' to 0
- k*(2x ln(1/x) - x) = 0 -------- We send k dividing to the other side
- 2x ln(1/x) - x = 0 -------- Now we take the x and move it to the other side
- 2x ln(1/x) = x -- Now, we send 2x dividing (note that x>0, so we can divide)
- ln(1/x) = x/2x = 1/2 ------- we send the natural logarithm as exp
- 1/x = e^(1/2)
- x = 1/e^(1/2) = 1/√e ≅ 0.607
Thus, the value of x that gives the maximum transmission is 1/√e.
Answer:
B
Step-by-step explanation:
