Answer:
p = 10.44
Step-by-step explanation:
There is no solution. If the question was 81p / 9 = 94, it could be done.
The way it is written the ps cancel out and you get 9 = 94 which is impossible.
But let's assume you meant
81p / 9 = 94
Then you get 9p = 94 Divide both sides by 9
81p/9 = 94
9p = 94 Divide both sides by 9
9p/9 = 94/9
p = 10.44
Answer:
- c(n) = 320·0.96^n
- 28 years
Step-by-step explanation:
Each year, the class size is multiplied by 1 - 4% = 96% = 0.96. After n years, it has been multiplied by that number n times. Repeated multiplication is signified using an exponent.
Class size (c) can be modeled by ...
c(n) = 320·0.96^n
__
You want to find n such that c(n) = 100. Put in that value and solve.
100 = 320·0.96^n
100/320 = 0.96^n . . . . . . . divide by 320
log(100/320) = n·log(0.96) . . . . . . . take logs
log(100/320)/log(0.96) = n ≈ 28.4932
In about 28 years, the class will have 100 students.
This is a linear equation y = mx+b, where m is the slope and b, the y-intercept.
Since we know this graph passes through A(1,4) and B(5,6), we can find easily the equation:
1st- Calculate m = (y₂-y₁)/(x₂-x₁) → m = (6-4)/5-1) = 2/4 →m =1/2
Now y = (1/2) + b.
2nd. To calculate b, replace x and y by either the coordinate of A(1,4) or B(5,6)
Let's take A where x = 1 and y = 4 for instance:
y =(1/2)x + b
4=(1/2)(1) + b
4=1/2 + b
4-1/2 = b and b= 7/2
Finally te equation becomes: y = (1/2)x + 7/2
Answer:
y = x-h / -2
Step-by-step explanation:
1. -2y^2 + h^2 = x^2
2. -2y^2 = x^2 - h^2
3. -2y = x-h
4. y = x-h / -2
