Answer:
y = 40x + 35
Step-by-step explanation:
Let x represent each month of service in the equation
Since it is $40 for each month, the price for each month can be represented by 40x.
The $35 fee will represent the y intercept, and will be added to 40x in the equation.
Put this together in the equation y = mx + b
y = 40x + 35
So, the linear equation to model the situation is y = 40x + 35
Answer:
67, no remainder.
Step-by-step explanation:
If we translate the word problems to mathematical equation,
2x + 3y = 60
The second equation is,
P = xy³
From the first equation, we get the value of y in terms of x.
y = (60 - 2x) / 3
Then, substitute the expression of y to the second equation,
P = x (60-2x) / 3
P = (60x - 2x²) / 3 = 20x - 2x²/3
We derive the equation and equate the derivative to zero.
dP/dx = 0 = 20 - 4x/3
The value of x from the equation is 15.
Hence, the value of x for the value of the second expression to be maximum is equal to 15.
Decreased by 25%
find 25% of 12 and decrease 12 by it
percent means parts out of 100
25%=25/100=1/4
'of' means multiply
25% of 12=1/4 times 12=3
decrease 12 by 3
12-3=9
answer is 9
