Y = 12.1% x 13 + 351
y= 0.012 x 13 + 351
y= 1.573 + 351
y= 352.573 or $352.6
Answer:
Step-by-step explanation:
Consider the graphs of the 
and 
.
By equating the expressions, the intersection points of the graphs can be found and in this way delimit the area that will rotate around the Y axis.
then 
o 
. Therefore the integration limits are:
and 
The inverse functions are given by:
and 
. Then
The volume of the solid of revolution is given by:
![\int\limits^{64}_ {0} \, [2\sqrt{y} - \frac{y}{4}]^{2} dy = \int\limits^{64}_ {0} \, [4y - y^{3/2} + \frac{y^{2}}{16} ]\ dy = [2y^{2} - \frac{2}{5}y^{5/2} + \frac{y^{3}}{48} ]\limits^{64}_ {0} = 546.133 u^{2}](https://tex.z-dn.net/?f=%5Cint%5Climits%5E%7B64%7D_%20%7B0%7D%20%5C%2C%20%5B2%5Csqrt%7By%7D%20-%20%5Cfrac%7By%7D%7B4%7D%5D%5E%7B2%7D%20%20dy%20%3D%20%5Cint%5Climits%5E%7B64%7D_%20%7B0%7D%20%5C%2C%20%5B4y%20-%20y%5E%7B3%2F2%7D%20%2B%20%5Cfrac%7By%5E%7B2%7D%7D%7B16%7D%20%5D%5C%20%20dy%20%3D%20%5B2y%5E%7B2%7D%20-%20%5Cfrac%7B2%7D%7B5%7Dy%5E%7B5%2F2%7D%20%2B%20%5Cfrac%7By%5E%7B3%7D%7D%7B48%7D%20%5D%5Climits%5E%7B64%7D_%20%7B0%7D%20%3D%20546.133%20u%5E%7B2%7D)
B is correct. Explanation Below:
---
Line A never intersects Line B, as they are parallel lines-the slopes are the same-and parallel lines never intersect.
Line A's Slope: (9-5)/(-1-1) = -2
Line B's Slope: (-6-2)/(4-0) = -2
---
Hope this helps!
Constant is otherwise called term independent. It should not contain any other letters.
So, a constant without a variable best describes a constant.
Answer:
The sports facility is 2,960,000 sq. m in area.
Step-by-step explanation:
The dimension of the sport facility = 0.74 km by 4 km
The Length of the facility = 4 km
The width of the facility = 0.74 km
Now, 1 km = 1000 meters
⇒ 4 km = 4 x (1000) = 4000 meters
and 0.74 km = 0.74 x (1000) = 740 meters
Now, AREA OF THE RECTANGLE = LENGTH x WIDTH
So, the area of the facility = 4000 m x 740 km
= 2,960,000 sq. m
Hence, the sports facility is 2,960,000 sq. m in area.
