The answer is 30 because i had this on a test
Step-by-step explanation:
1.) The average nightly ticket sales can be calculated as
Average sales = Average no. of customers per night x Charge per ticket
For the second night, we have
$1750 = (N)($7)
This gives us N = 250.
So, the average number of customers decreased as a result of the price increase.
To calculate the percentage change, we use the following formula:
% change =
We have -17% change in the average number of customers the theater has each night. The negative sign indicates a decrease in the number, which is consistent with our calculations.
2.) % change in prices =
Therefore, we have 40% change in the cost of ticket per person, which reflects an increase in the prices.
3.) Elasticity of Demand =
Hence, we have = -0.425
This stands consistent with the Law of Demand - as the price increases, the quantity demanded decreases.
4.) Market price is obtained by looking for a point where the quantity supplied equals the quantity demanded. From the table we see that at $75 price, there is a demand for 45,000 units of that product in that market, which the suppliers are willing to supply. Hence, that defines the market price for that product.
(x^12)^5=x^(12*5)=x^60
(x^(-2))^9=x^(-18)
x^60*x^(-18)=x^(40) and we need to find x^a such that
x^(42)*x^a=x^(40)^5
x^a=x^(40)^5*x^(-42)
x^a=x^(200)x^(-42)
x^a=x^(200-42)
x^a=x^158
so the missing term is x^158
Answer:
3:4
Step-by-step explanation:
The correct answer is x^3 - 5x^2 + 16x - 80.
In order to find this, we work backwards. Start by creating true statements for each of the roots.
x = 5
x = +/-4i
Now we can solve all of these until they are statements that equal 0.
x = 5 ----> Subtract 5 from both sides
x - 5 = 0
x = +/-4i ------> Square both sides
x^2 = -16 ---> Add 16 to both sides.
x^2 + 16 = 0
Now we can use the two statements that we have and multiply them to get the polynomial.
(x - 5)(x^2 + 16)
x^3 - 5x^2 + 16x - 80