What is the common ratio of the geometric sequence whose second and fourth terms are 6 and 54, respectively?
2 answers:
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Answer:
Part 1)
Part 2) The measure of the interior angles are 64°-67°-49°
Step-by-step explanation:
see the attached figure to better understand the problem
step 1
Find the value of x
we know that
The sum of the interior angles in any triangle must be equal to 180 degrees
so
In this problem
Solve for x
Combine like terms
Subtract 18 both sides
Divide by 6 both sides
step 2
Find the measure of each interior angle
substitute the value of x in each measure
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.
9514 1404 393
Answer:
- 2
- 32
- 27
Step-by-step explanation:
The number 2 1/4 is split into the sum 2 + 1/4, then multiplied by 3/8. This gives ...
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Of course, fractions are multiplied in the usual way: