Answer:
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Step-by-step explanation:
haha mjo
Answer:
8%
Step-by-step explanation:
let,
this year population of students (pt)= 195
last year population of students (p)= 210
time(t)= 1 year
Population Change( R)= ?
we have,
pt= p( 1 - R/100)^t
195 = 210 ( 1 - R/100)^1
0.92= 1 - R/100
0.92-1= R/100
- 0.08 = - R/100
R= 0.08×100
R= 8%
Answer:
Slope: 2
a: 5
b: 6
y-coordinate when x = 0: -2
Step-by-step explanation:
To find the slope, you need to divide the change in the y values between two points on a line by their change in x values. The two complete points given are (6, 10) and (2, 2), so doing this for them would be...
(10-2)/(6-2) = 8/4 = 2, so your slope is 2
To find a, you must use this slope by counting from one of the points. For every one you go to the right, you go up two. So, how many times do you need to go up 2 (slope), from 2 (starting point's y coordinate), to get to 8 (target point's y coordinate)? (8-2)/2 = 6/2 = 3, so 3 times. Add that to 2 (starting point's x coordinate) to get 5, so a is 5.
To find b, you can just use (6, 8). You know you're going to the LEFT one, so you must go DOWN 2. Subtract 2 from 8 to get 6.
For the last question, do the same with (2, 2). You're going LEFT 2, so you're going DOWN 4. Subtract 4 from 2 to get -2.
Let me know if you need a more in-depth explanation on any part of this!
Answer:
34416
Step-by-step explanation:
.72(percentage) × 47800(people)
34416
The theater make the maximum profit at d = $25. Then the maximum profit of the theatre is $ 900.
<h3>What is differentiation?</h3>
The rate of change of a function with respect to the variable is called differentiation. It may be increasing or decreasing.
A community theater uses the function P(d) = (− 4d + 40) (d − 40) to model the profit (in dollars) expected on a weekend when the tickets to a comedy show are priced at d dollars each.
Then the maximum profit of the theatre will be
The function is P(d) = (− 4d + 40) (d − 40)
Differentiate the function with respect to d and put it equal to zero for maximum or minimum profit.
Then the checking for maximum or minimum, again differentiate, we have
The value is less than zero hence maximum value will occur at d = 25.
Then maximum profit will be
P(d) = (− 4×25 + 40) (25 − 40)
P(d) = (− 100 + 40) (−15)
P(d) = (− 60) (− 15)
P(d) = $ 900
More about the differentiation link is given below.
brainly.com/question/24062595
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