Answer:
Please see attached
Step-by-step explanation:
Answer:
<h2>The answer is 13.4 units</h2>
Step-by-step explanation:
The distance between two points can be found by using the formula
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
A (10,-1) and B (-2,5)
The distance is
We have the final answer as
<h3>13.4 units to the nearest tenth</h3>
Hope this helps you
Answer:
Step-by-step explanation:
Given the Total revenue R(x) = 2x
Cost C(x) = 0.01x²+0.3x+30 where;
x = 30 and dx/dt = 9units per day.
Rate of change of revenue dR/dt = dR/dx • dx/dt
dR/dt = 2dx/dt
dR/dt = 2(9) = $18
Rate of change of revenue with respect to time is 18dollars/day.
Rate of change of cost dC/dt = dC/dx • dx/dt
dC/dt = (0.02x+0.3)dx/dt
dC/dt at x = 30 and dx/dt = 9 will give;
dC/dt = {0.02(30)+0.3}×9
dC/dt = (0.6+0.3) × 9
dC/dt = 0.9×9
dC/dt = $8.1
Rate of change of cost with respect to time is 8.1dollars/day
Profit = Revenue - Cost
Profit = 18-8.1
Daily Profit = $9.9
Answer:
1/8
Step-by-step explanation:
Answer:
Option B. house B; monthly payment of $1,550.89 is the correct answer.
Step-by-step explanation:
In order to calculate the highest payment Pete can afford we have to subtract his expenses from his housing budget.
Given
Total housing budget = $2250
Monthly costs = $215.75
Utilities = $143.50
Taxes = $273
First all expenses can be added together to subtract from the housing budget.
So
Now the total monthly cost will be subtracted from housing budget.
Hence, he saves $1617.75 for monthly payment.
Looking at the options, C and D will be ruled out as both the quantities are greater than 1617.75
Option A and B both are smaller than 1617.75 but as $1,550.89>$1,327.18, Option B is the highest monthly payment Pete can afford.
Hence,
Option B. house B; monthly payment of $1,550.89 is the correct answer.