28................................................
Answer:
x = 50
R = $2500
Step-by-step explanation:
Given in the question a quadratic equation,
−x² + 100x
To find the selling price, x, which will give highest revenue, y, we will find maximum value of parabola curve −x² + 100x
The value of -b/2a tells you the value x of the vertex of the function
−x² + 100x
here a = -1
b = 100
Selling price = -(100)/2(-1)
= 50
R = −(50)² + 100(50)
= 2500
Answer:
9p = 54
Step-by-step explanation:
19p = 10p + 54
Subtract 10p on both sides,
19p - 10p = 54
9p = 54
Answer:
Stefanie bought 10 erasers
Step-by-step explanation:
We can establish the following equation:
TP = NP*PP + NE*EP
Where:
TP = Total price; (4.25)
NP = Number of pencil packages; (1)
PP = Pencil Package's Price; (1.75)
NE = Number of erasers; (What we are looking for)
EP = Erasers Price; (0.25);
Then:
4.25 = 1*1.75 + NE*0.25;
4.25 - 1.75 = NE*0.25;
2.5/0.25 = NE;
10 = NE.
Given:
The number of seats in the first row is <em>a</em>₁ = 12.
The series of the increasing number of seats is 12, 14, 16......
The objective is to find the total number of seats in the first 12 rows.
Explanation:
The difference between the number of seats in each row can be calculated by the difference between the successive terms of the series.

The number of rows to be calculated is <em>n</em> = 12.
To find the number of seats:
The number of seats presents in the first 12 rows can be calculated as,

On plugging the obtained values in the above equation,

Hence, the total number of seats in the first 12 rows is 276.