Answer:
The answer is 2427.5
Step-by-step explanation:
The fraction consists of two numbers and a fraction bar: 4,855/200
The number above the bar is called numerator: 4,855
The number below the bar is called denominator: 200
The fraction bar means that the two numbers are dividing themselves.
To get fraction's value divide the numerator by the denominator:
Value = 4,855 ÷ 200
To calculate the greatest common factor, GCF:
1. Build the prime factorizations of the numerator and denominator.
2. Multiply all the common prime factors, by the lowest exponents.
Factor both the numerator and denominator, break them down to prime factors:
Prime Factorization of a number: finding the prime numbers that multiply together to make that number.
4,855 = 5 × 971;
4,855 is a composite number;
In exponential notation:
200 = 2 × 2 × 2 × 5 × 5 = 23 × 52;
200 is a composite number;
Answer:
E = -2. The demand is going down by 2% per 1% increase in price at that price level.
The price that gives a maximum revenue is $22.5. The maximum revenue is $9112.5
Step-by-step explanation:
The overall demand formula: Q = aP + b
Q = 990 - 22P
<u>Demand elasticity:</u>
At P = $30, the Q = 990 - 22×30 = 330. a = 
= -22
The formula for demand elasticity: E = ×
Demand elasticity at $30: E = -22 × 
= -2
So, The demand will be going down by 2% if 1% increase in price.
<u>Revenue:</u>
R = P×Q = P×(990 - 22P) = -22P² - 990P
R' = -44P - 990. The revenue is maximum when R' = 0
⇔0 = -44P - 990 ⇔ P = $22.5
At the P = $22.5, the Q = 990 - 22×22.5 = 495.
The maximum revenue = $22.5×495 = $11,137.5
Answer:
4.5 meters
Step-by-step explanation:
The formula for the area of a rectangle is length x width. Using this formula, you can substitute the given information and find the area:
length x width = area
0.3km x 0.15km = area
0.045km = area
Finally, you can now convert square kilometres into square meters by multiplying by 100:
0.045 x 100 = 4.5 meters
1.53
Since it is 0 in the thousands place it, doesn’t change.
