Answer:
$7,562.5
Step-by-step explanation:
Given the function of the profit earned expressed as;
<em>f(p) =-40p^2+1100p</em>
To maximize the profit, df(p)/dp must be sero
df(p)/dp = -80p + 1100 = 0
-80p + 1100 = 0
-80p = - 1100
p = 1100/80
p = 13.75
Substitute p = 13.75 into the function
f(13.75) =-40(13.75)^2+1100(13.75)
f(13.75) = -7,562.5+15,125
f(13.75) = 7,562.5
Hence the symphony should charge $7,562.5 to maximize the profit.
To find the length of the base, we have to understand that area of triangle:
Base x height/2
Therefore we would multiply the area by 2 and divide by 4 to find the answer:
24x2/4
=48/4
=12
Therefore the answer is 12m.
Hope it helps!
Answer:
IQR = 6
Step-by-step explanation:
Given:
The given set of data is:
40 41 42 43 44 45 46 47 48 49 50
Number of terms, 
Therefore, the median is given as 
term which is the sixth term. Median = 45
(40 41 42 43 44) <u>45</u> (46 47 48 49 50 )
Now, we find the median of the lower half (
) and upper half (
)of the data that are before and after the median.
The lower half of the data has the values 40 41 <u>42</u> 43 44.
Number of terms are 5. So, median is the third term which is, 
The upper half of the data has the values 46 47 <u>48</u> 49 50.
Number of terms are 5. So, median is the third term which is, 
Now, IQR is given as the difference of upper half median and lower half median.
Answer:
<u>963.73 m²</u>
Step-by-step explanation:
<u>To Find :-</u>
Area of the figure
<u>Solving :-</u>
Area (figure) = Area (triangle) + Area (semicircle)
= 1/2bh + 1/2πr²
= 1/2 (30 x 34 + 3.14 x 17 x 17)
= 1/2 (1020 + 289 x 3.14)
= 1/2 (1020 + 907.46)
= 1/2 (1927.46)
= <u>963.73 m²</u>
Answer:
The area of the entire rectangle, in standard form, is
x² + 9x + 8
Step-by-step explanation:
Area of the entire rectangle:
area = width * length
area = (x+1)(x+8)
= x*x + x*8 + 1*x + 1*8
= x² + 8x + 1x + 8
= x² + 9x+ 8
