We can model the equation:y = m x + b, where y is the total profit and x is the number of hotdogs sold.The system of equations is:
90 = 40 m + b210 = 80 m + b---------------------b = 90 - 40 m210 = 80 m + 90 - 40 m210 - 90 = 40 m120 = 40 mm = 120 : 40m = 3b = 90 - 40*3b = 90 - 120b = - 30Answer: The equation is y = 3 x - 30
Let the side length of the square be x, then A = x^2
but diagonal (z) = sqrt(2x^2)
z^2 = 2x^2
x^2 = 1/2 z^2
Thus, A = 1/2 z^2
dA/dz = 1/2 (2z) = z
The rate of change is z.
When z = 4, the rate is 4.
I'm not sure exactly what you're asking but 1×10^-5 is .00001. I could be interpreting your question wrong in which case I'm sorry.
Answer:
$38.31
Step-by-step explanation:
Given:
Pure silver that cost $33.48 per ounce used to form $24.35 alloy/ounce.
Question asked:
How many ounces of pure silver were used to make an alloy of silver costing $27.87 per ounce?
Solution:
At cost $24.35/ounce, pure silver is mixed = $33.48
At cost $1/ounce, pure silver is mixed = 
At cost $27.87/ounce, pure silver is mixed = 

Thus, $38.31 ounces of pure silver were used to make an alloy of silver costing $27.87 per ounce.
Answer:
600
Step-by-step explanation:
Harry invests £5000 for 3 years.
He gets a simple interest of 4% per year.
Work out the total interest Harry gets.
Solution
The formula for simple interest
S.I = P*R*T/100
Where P = Principal = £5000
R = Rate = 4%
T = Time = 3 years
£ 5000 * 4 * 3 /100
50 * 4 * 3
£ 600.