9514 1404 393
Answer:
- 160 ft (out from the river)
- 320 ft (parallel to the river)
Step-by-step explanation:
Let x represent the length of fence parallel to the river. Then the dimension of perpendicular to the river will be half the remaining fence: (640-x)/2. The total area will be ...
A = x(640-x)/2
This is the equation of a parabola that opens downward. It has zeros at x=0 and x=640, so its axis of symmetry is x = (0+640)/2 = 320. That is, the peak of the area curve is found when x=320.
The dimensions of the garden with the largest area are 160 ft wide by 320 ft long, where the long side is the river side.
Answer:
1,946,075.95 AED
Step-by-step explanation:
Firstly, we write the general formula for an exponential increase as follows;
V(t) = A( 1 + r)^t
where V(t) is the value after some number of years t
A is the investment amount which is 100,000 AED
r is the rate of increase which is 16% = 16/100 = 0.16
t is the number of years which is 20
substituting these values;
V(20) = 100,000( 1 + 0.16)^20
V(20) = 100,000(1.16)^20
V(20) = 1,946,075.95 AED
I am not sure if the “+” was supposed to go there or if that was just a typo, so I do apologize if this is wrong... but if it doesn’t belong in the equation at all, 20 = 2X is a fairly simply multiplication problem. You are to divide both sides by the 2 and you should get X = 10, because 2 goes into 20, 10 times; and the 2 goes into 2 only once, therefore the 2 now gets cancelled out.
Answer: 20 divided by 2 = 2x divided by 2 is now 10 = X.
Really hope this helps you, have a good day :)
Answer:
Volume of rectangular prism = ![20\ cm^3](https://tex.z-dn.net/?f=20%5C%20cm%5E3)
Step-by-step explanation:
Given rectangular prism is made up of small cubes of volume 1 cubic centimeter.
To find volume of rectangular prism.
Solution:
Volume of rectangular prism is = ![length\times width \times height](https://tex.z-dn.net/?f=length%5Ctimes%20width%20%5Ctimes%20height)
We know that all sides of a cube are equal in measure.
So, we will count the number of cubes on each side to get the exact measure.
Length side = 4 cubes = 5 cm
Width side = 2 cubes = 2 cm
Height side = 2 cubes = 2 cm
Thus volume of rectangular prism = ![5\ cm\times 2\ cm \times 2\ cm](https://tex.z-dn.net/?f=5%5C%20cm%5Ctimes%202%5C%20cm%20%5Ctimes%202%5C%20cm)
Volume of rectangular prism = ![20\ cm^3](https://tex.z-dn.net/?f=20%5C%20cm%5E3)