Answer:
The owner's profit for a ten-day period is $4675
Step-by-step explanation:
Each day a small business owner sells 200 pizza slices for $1.50 per slice and 85 sandwiches at $3.50 each.
Let's find the revenue.
Revenue = 200($1.50) + 85($3.50)
= $300 + $297.50
Revenue per day = $597.50
Revenue for 10 days = 10($597.50) = $5975
Business expenses per day = $130
Business expenses for 10 days = 10($130) = $1300
Now let's find the profit.
Profit for 10 days = Revenue - Expense
= $5975 - $1300
= $4675
So the owner's profit for a ten-day period is $4675
Answer:
2/5cm or 0.4cm
Step-by-step explanation:
Area of square = 
Thus, Side = 
= 
= 2/5 cm = 0.4cm
Answer: equation of the tangent plane is z = 1
Step-by-step explanation:
Given equation
z = e^(-x²-y²) at point (0,0,1)
now let z = f(x,y)
Δf(x,y) = [ fx, fy ]
= (-2xe^(-x²-y²)), (-2ye^(-x²-y²))
now
Δf (0,0) = [ 0, 0 ] = [ a, b ]
equation of the tangent plane therefore will be
z - z₀ = a(x-x₀) + b(y-y₀)
z - 1 = 0(x-0) + 0(y-0)
z - 1 = 0 + 0
z = 1
Therefore equation of the tangent plane is z = 1
Answer:
5 m
Step-by-step explanation:
A model car is made to a scale of 1:50 (model: real).
If the model has a length of 10 cm, calculate the length of the real car (answer in meters).
We have a scale of :
model: real = 1:50
The model has a length of 10cm
Hence:
1 cm = 50 cm
10 cm = x cm
Cross Multiply
x cm × 1cm = 10 cm × 50 cm
x cm = 10 cm × 50 cm/1cm
x cm = 500 cm
The length of the real car is 500cm
Converting the length of the real car to meters
100cm = 1 m
500 cm = x m
Cross Multiply
100cm × x m = 500 cm × 1 m
x m = 500 cm × 1 m/100 cm
x m = 5 m
The Length of the real car in meters is 5m
3(x+1) = 2(x-8) + 3. First, remove the parentheses by distributing (multiplying out the numbers):
3x + 3 = 2x - 16 + 3.
Then, combine any like terms on the same side of the equals sign;
3x + 3 = 2x -13.
Then, move the like terms on opposite sides of the equals sign to the same side of the equals sign (don't forget to change the signs)..
3x -2x = -13 - 3.
Then combine the like terms on the same side of the equals sign again.. x = -16 .
