Answer:
The least number of meals Amelia needs to cater in order to begin making profit = 38 meals.
Step-by-step explanation:
Given - Amelia runs a catering business. Based on her records, her weekly
profit can be modeled by P= -2x² + 152x - 150, where x is the
number of meals she caters and P is her profit. When P is negative,
Amelia losses money.
To find - What is the least number of meals Amelia needs to cater in order
to begin making profit.
Proof -
As given, P = -2x² + 152x - 150
Now,
Above the break-even point, she only get profit
The break -even point is a point where there is no profit, and no loss.
Now,
For break-even point,
⇒
⇒-4x + 152 = 0
⇒- 4x = - 152
⇒4x = 152
⇒x = = 38
∴ we get
If Amelia caters at least 38 meals , then she makes Profit.
Answer:
Step-by-step explanation:
A perpendicular line is a line whose slope is the negative reciprocal of the other line. The line y = -2/3x + 5 has slope -2/3. This means the line perpendicular will be 3/2.
Substitute 3/2 and (2,11) into the point slope form of a line.
Answer:
area of rectangle : 180 sq ft
area of triangle : 30 sq ft
area of entire composite figure : 210 sq. ft
Step-by-step explanation:
rectangle : 15*12= 180
triangle : 15*4=60 /2 = 30
entire : 180 + 30 = 210
Answer:
A.) Henry
B.) Thomas
Step-by-step explanation:
Given the following :
Henry's elevation = 10feets relative to sea level
Thomas elevation = -12 1/2 that is (-25/2) feet relative to sea level
Person with greater elevation:
Elevation can be described as height, in this case, the sea level used as the reference point. Therefore, a positive distance denotes an elevation above the reference point (which is the sea level). Therefore, Henry has a greater elevation of 10 feet( a distance above 0).
B) Who is farther from sea level:
This can be calculated by comparing the absolute distance between the elevation of both Henry and Thomas relative to the reference point(sea level)
Take reference point as 0
Absolute distances relative to sea level:
Henry's distance | 10 - 0 | = 10
Thomas's distance | -(25/2)- 0 | = 12 1/2
Answer:
1.5
Step-by-step explanation: