Answer:
1.26
u(8) - u(2) = 0.74
Step-by-step explanation:
Given
u(x) = ∛x
where x is the number of pancakes consumed per week
and
u(x) is her utility (happiness)
If x = 8
u(8) = ∛8 = 2
Now, if x = 2
u(2) = ∛2 = 1.26
then
u(8) - u(2) = 2 - 1.26 = 0.74
Answer:
Step-by-step explanation:
What is the equation?
You need to replace all A with 3 and all c with 12. If I had the equation, I'd be glad to help further.
Answer:
27
Step-by-step explanation:
We have the equation n over 9 = 3 and are asked to find the solution :
When we have a question like this, we need to isolate n by itself to get the answer.
Multiply 9 to both sides :
n = 27
Answer:
44000
Step-by-step explanation:
Let w be the initial value of Otto's internet stock, in dollars. At the beginning of the year, the total value of his portfolio is w+10,000 dollars. At the end of the year, the total value of his portfolio is 1.1w+9,000 dollars. Since increasing by 6% is equivalent to multiplying by 1.06, we have
1.06(w+10,000)=1.1w +9,000
Distributing and collecting terms, we find w=40,000. At the end of the year, his internet stock is worth 40,000* 1.1=44,000 dollars.
*credits: AoPS