Answer:40z
Step-by-step explanation: i got this answer by using the distributive property. So when I distribute 5 to 8 you just basically multiply the two and add the variable on the end
Answer:
336 cubic cm
Step-by-step explanation:
Volume of cone + (Volume of Sphere/2)
V (cone) = (π
h)/3
= π
(12) ÷ 3
= 64π ≈ 201 cm
V (sphere) = 4/3π
/2
= [4/3π(4^3)] ÷ 2
= (256π/3) ÷ 2
≈ 43π ≈ 135
A. I would suggest including <em>all</em> units in your answer. Both answers are correct but the unit is also important.
average rate of change:
($750 - $350) / (2014 - 2010) = $400 / (4 years) = $100 per year
initial value:
$350
B. Take 2010 to be year 0. Then for year <em>x</em> = 0, the fee is <em>y</em> = $350.
If the fee increases at a rate of $100 per year, this means that when <em>x</em> = 1, <em>y</em> = $350 + $100 = $450. So the graph of the function that models the dog-walking fee is a line that passes through the points (0, 350) and (1, 450), adn the slope of this line is
(450 - 350) / (1 - 0) = 100/1 = 100
which is the same as the average rate of change.
Using the point-slope formula for a line, the equation you want is then
<em>y</em> - 350 = 100 (<em>x</em> - 0)
<em>y</em> - 350 = 100<em>x</em>
<em>y</em> = 100<em>x</em> + 350
Answer:
a) 
where 
b) 
where
c) 
Step-by-step explanation:
Sale price of chocolates = $1.80 per chocolate
Fixed cost for the Chocolate Shoppe per week = $450
Cost to produce one chocolate = $0.60
Cost to produce 
chocolates = $0.60
a) Cost function to represent the total cost for the production of chocolates :
where
b) Revenue function to represent the revenue from the sale of chocolates:
where
c) Profit function to represent Charlie's profit from selling chocolates:
Profit is nothing but revenue minus sales.
10x + 19.95 = 139.95
Subtract 19.95 from both sides
10x =130.00
Divide both sides by 10
X = 13
13 classes
