Answer:
Step-by-step explanation:
Given that demand function for a product is modeled by
where p = price in dollars and
x= units demanded
a) When x=1000, we substitute 1000 for x
i.e. price is 1092.32 dollars
b) X = 1500
i.e. price is 692.28 dollars
c) When x increases without bound exponent with negative power becomes 0 making price = 10000(1-3/3) =0
Answer:
Step-by-step explanation:
There are but a few rules we have to follow when completing the square. However, they are very important rules so we have to be careful. First and foremost, the coefficient on the x-squared term HAS to be a positive 1. If it is not, we have to manipulate the function so it is a positive 1. Then we take half the linear term, square it and add it to both sides (and sometimes this can be very tricky. It is tricky here, so pay attention.)
We begin by separating the x terms from the constant by setting the parabola equal to 0 and moving the constant:
The coefficient on the x-squared is a negative 1, so we factor out the negative:
The linear term is 2. We take half of 2 which is 1, square 1 to get 1 and add it into the left side. BUT don't forget that we have a -1 out front of the ( ) refusing to be ignored. It is a multiplier. That means that we didn't add in a +1, we added in -1(1) which is -1. That is what we add to the right side:
which simplifies to
The reason for this process is that by completing the square you create a perfect square binomial on the left. We rewrite the parabola in terms of that perfect square binomial:
which simplifies to
From this you can now determine that the vertex of the parabola is (-1, -4)
V=1156 in³
you can find the volume by multiplying the length times width times height
Answer:
Step-by-step explanation:
given that we have an urn with m green balls and n yellow balls. Two balls are drawn at random.
a) Assume that the balls are sampled without replacement.
m green and n yellow balls
For 2 balls to be drawn at the same colour
no of ways = either 2 green or 2 blue = mC2+nC2
Total no of ways = (m+n)C2
Prob =
=
=
B) Assume that the balls are sampled with replacement
In this case, probability for any draw for yellow or green will be constant as
n/M+n or m/m+n respectively
Reqd prob =
=
c) Part B prob will be more than part a because with replacement prob is more than without replacement.
II time drawing same colour changes to m-1/.(m+n-1) if with replacement but same as m/(m+n) without replacement
Since n>0 is true always, b is greater than a.
Answer:
Mountain bike is priced at 413 if he sells tax is 6.5% what is a constant purchase a mountain bike round to the nearest cent if necessary
Step-by-step explanation:
it is 439.85