Answer:
x = -1 ± √6
Step-by-step explanation:
Lets use the quadratic formula →
So ,
Lets take 2 common from numerator.
Cancelling 2 from numerator & denominator gives
Answer:
Step-by-step explanation:
Yoga Fun's price is represented by 65+12c where c represents classes.
Yoga For All's price is represented by 15c where c represents classes.
We notice that for the prices to be equal, 65+12c must equal 15c. This means that we take the difference, which shows that 65 must equal 3c. We divide to determine we must take 21.666... classes for the prices to be equal.
Answer:
16 edges.
Step-by-step explanation:
We will use Euler's polyhedron formula to solve for the edges of our convex polyhedron.
Euler's polyhedron formula is: , where,
V= Vertices of polyhedron,
F= Faces of polyhedron,
E= Edges of polyhedron.
Let us substitute V=6 and F=12 in Euler's formula to find number of edges of our polyhedron.
Let us subtract 18 from both sides of our equation.
Therefore, our convex polyhedron will have 16 edges.
Answer:
10
Step-by-step explanation:
12-6+4
Answer:
(a) 11.75%
(b) Profit decreases by $5.88 per calculator.
Step-by-step explanation:
(a) The percentage of failures with time is given by the following expression:
Integrating this function from x = 0 to x = 1 year, gives us the percentage of failures in the first year:
11.75% of the calculators will fail within the warranty period.
(b) If the cost of a calculator is $50, and the profit per sale is $25, the average revenue per calculator is $75. Considering no income in failed calculators, the new cost per calculator is:
The effect of warranty replacement on profit is given by the difference in cost per calculator:
Profit decreases by $5.88 per calculator.