Answer:
Step-by-step explanation:
Given the approximate demand function of night drink expressed as;
p^2+200q^2=177,
p is the price (in dollars) and;
q is the quantity demanded (in thousands).
Given
p = $7
q = 800
Required
dq/dp
Differentiating the function implicitly with respect to p shown;
2p + 400d dq/dp = 0
400q dq/dp = -2p
200qdq/dp = -p
dq/dp = -p/100q
substitute p and q into the resulting equation;
dq/dp = -7/100(800)
dq/dp = -7/80000
dq/dp = -0.0000875
This means that the rate of change of quantity demanded with respect to the price is -0.0000875
Answer:
-8/45
Step-by-step explanation:
we can solve a/b by plugging in the given values and we have the new expression:
4/5 / -9/2
to solve, we can use multiply the two fractions together using KCF which stands for: Keep Change Flip. we keep the first fraction as is, change the division sign into a multiplication, and flip the 2nd fraction to its reciprocal (numerator becomes denominator and denominator becomes numerator)
4/5 / -9/2 becomes:
4/5 × 2/-9 < simply multiply the fraction
4 × 2 = 8
5 × -9 = -45
8/-45 is our new fraction. we cannot simplify this any further so this is our answer which can also be written as -8/45
2.4 pounds ............................................
Answer:
3600 ways
Step-by-step explanation:
person A has 7 places to choose from :
→ He has 2 places ,one to the extreme left of the line ,the other to the extreme right of the line
If he chose one of those two ,person B will have 5 choices and the other 5 persons will have 5! Choices.
⇒ number of arrangements = 2×5×5! = 1 200
→ But Person A also , can choose one of the 5 places in between the two extremes .
If he chose one of those 5 ,person B will have 4 choices and the other 5 persons wil have 5! Choices.
⇒ number of arrangements = 5×4×5! = 2 400
In Total they can be arranged in :
1200 + 2400 = 3600 ways
