Answer:
30units,2900
Step-by-step explanation:
Given that Country Motorbikes Incorporated finds that it costs $400 to produce each motorbike, and that fixed costs are $1600 per day.
The price function is p(x) = 700 − 5x, where p is the price (in dollars) at which exactly x motorbikes will be sold.
If x units are produced and sold we have
Costs for x units = variable costs *x +Fixed costs
Sales revenue = no of units sold * price =
Profit funciton = P(x) = Sales revenue - Total cost
=
To get maximum profit we use derivative test I derivative =0 and II derivative =negative
Producing 30 units will maximize the profit.
Max profit
=P(30) = 2900
If you draw a picture you can see that the kite, Anna and Emily form a right triangle.
so you can use the pythagorean theorem to find the answer.
1,225 + b^{2} = 2,500
b^{2} = 1,275
b = 35.7 meters
The opposite angles of a parallelogram are equal.
Therefore
m∠A = m∠C, so that
5y - 3 = 3y + 27
Subtract 3y from each side.
5y - 3y - 3 = 3y - 3y + 27
2y - 3 = 27
Add 3 to each side.
2y - 3 + 3 = 27 + 3
2y = 30
y = 30/2 = 15
Therefore
m∠A = 5*15 - 3 = 72°
m∠C = 72°
Let x = m∠B
Then x = , m∠B = m∠C
Because the sum of the angles in the parallelogram is 360°, therefore
x + x + 72 + 72 = 360
2x = 360-144 = 216
x = 216/2 = 108
Answer:
m∠A = 72°
m∠B = 108°
remember that when total value is used a negative number is turned positive so it equals to 282 feet
Answer:
y = -2x + 12
Step-by-step explanation:
Step 1: find the slope
y = 1/2x + 5
The equation of the line is
y = mx + c
m - slope
m = 1/2
Note : if two lines are perpendicular to the other, both lines are negative reciprocal of each other
m = -2
Step 2 : using a point slope form
y - y1 = m( x - x1)
( 2 , 5)
x1 = 2
y1 = 5
y - 2 = -2( x - 5)
y - 2 = -2x + 10
y = -2x + 10 + 2
y = -2x + 12
The equation of the line is
y = -2x + 12
I dunno the answer so I just found another answer I found in here for this question:P
Sorry- it’s useless