The angle of elevation will be given by:
tan θ=opposite/adjacent
tan θ=10/14
θ=arctan 10/14=
θ=35.5~26°
5. c^2=a^2+b^2-2abcos C
c^2=60.5²+216²-2*60.5*216cos34
c^2=28,648.524
c=169.255~169.3 ft
Answer:
$1,200
Step-by-step explanation:
Data provided in the question:
R'(x)= -0.1x + 40
now,
Revenue function = ∫R'(x)= ∫(-0.1x + 40)
or
R(x) = ![\frac{-0.1x^2}{2}+40x+c](https://tex.z-dn.net/?f=%5Cfrac%7B-0.1x%5E2%7D%7B2%7D%2B40x%2Bc)
here, c is the integration constant
also,
at x = 0, Revenue R = 0
thus,
0 = ![\frac{-0.1(0)^2}{2}+40(0)+c](https://tex.z-dn.net/?f=%5Cfrac%7B-0.1%280%29%5E2%7D%7B2%7D%2B40%280%29%2Bc)
or
c = 0
therefore,
we get the revenue function as;
R(x) = ![\frac{-0.1x^2}{2}+40x](https://tex.z-dn.net/?f=%5Cfrac%7B-0.1x%5E2%7D%7B2%7D%2B40x)
a) For x = 230 units
R(230) = ![\frac{-0.1(230)^2}{2}+40(230)](https://tex.z-dn.net/?f=%5Cfrac%7B-0.1%28230%29%5E2%7D%7B2%7D%2B40%28230%29)
or
R(230) = - 2645 + 9200 = $6,555
b) R(330) = ![\frac{-0.1(330)^2}{2}+40(330)](https://tex.z-dn.net/?f=%5Cfrac%7B-0.1%28330%29%5E2%7D%7B2%7D%2B40%28330%29)
or
R(330) = -5445 + 13,200 = $7,755
Hence,
the addition evenue realized when the production (and sales) level is increased from 230 to 330 units
= $7,755 - $6,555
= $1,200
Answer :When rates are expressed as a quantity of 1, such as 2 feet per second or 5 miles per hour, they are called unit rates. When prices are expressed as a quantity of 1, such as $25 per ticket or $0.89 per can, they are called unit prices.
Step-by-step explanation:
A scatterplot is used to represent a correlation between two variables. There are two types of correlations: positive and negative. Variables that are positively correlated move in the same direction, while variables that are negatively correlated move in opposite directions.
Answer:
4
Step-by-step explanation:
Add up all the frequencies given
5+6+5+6+5+8+4+4+3 = 46
The total frequencies with the missing data value should add up to 50
50 = 46 + x
x = 50 - 46
x = 4