The supply function and demand function for the sale of a certain type of DVD player are given by S(p)=130e0.004p and D(p)=416e−0.002p, where S(p) is the number of DVD players that the company is willing to sell at price p and D(p) is the quantity that the public is willing to buy at price p. Find p such that D(p)=S(p). This is called the equilibrium price.

p=$193.86 (assuming we are talking about dollars)

Step-by-step explanation:

In order to solve this problem, we must set each function equal to each other, so we end up with the following equation we must solve for p:

So next, we divide both sides of the equation by 130 and by

So we get:

and we simplify, so we get:

which can be further simplified to:

and next, we take the natural logarithm to both sides, so we get:

0.006p=ln(3.2)

and finally we divide both sides of the equation by 0.006 so we get:

and simplify so we get our

p=$193.86  (in the case that p is given in dollars)

2/3x + 7 = 29

step-by-step explanation:

two thirds = 2/3

plus a number = x

at least 29 = 29

there for you should get 2/3x + 7 = 29

the data of the detroit pistons in numerical order from least to greatest is 0.30, 0.37, 0.55, 0.62, 0.69, 0.72, 0.73, 0.75, 0.77, 0.78, 0.80, 0.81, 0.81, 0.83, 0.84, 0.89

the data of the miami heat in numerical order from least to greatest is 0.50, 0.50, 0.56, 0.57, 0.67, 0.72, 0.72, 0.72, 0.75, 0.75, 0.76, 0.81, 0.82, 0.90, 1.00, 1.00

the detroit pistons median : 1.52

the miami heat median: 1.47

the iqr of this data is 0.05