The quantity of water the farming conglomerate would use 17 years from now is 65,708.11.
<h3>What is the amount of water that would be used 17 years from now?</h3>
The formula for calculating the amount of water that would be needed 1 years from now:
FV = P (1 + r)^N
- FV = Future value
- P = Present value
- R = interest rate
- N = number of years
13000 x 1.1^17 = 65,708.11
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Answer:
Each stuydent must raise $15.61 to reach their goal.
Step-by-step explanation:
Their goal is 483.62, but they already have 218.25 so we subtract,
483.62 - 218.25 = 265.37
Since there are 17 students and they raise the same amount we need to divide by the amount of students to find out how much money each of them need to raise to add up to their goal.
265.37/17 = $15.61
The number in question is equal to 2 times the temperature in degrees Celsius.
<h3><u>Equations</u></h3>
Since Alisha is working on a project about temperature conversion in her science class, and the formula for converting degrees Celsius to degrees Fahrenheit is F=C+32, to solve FC + 32 the following equation must be performed:
- CF + 32 = X
- F + F + 32 + 32 = X
- 2F + 64 = X
- F + 32 = 1/2X
- X = 2C
Therefore, the number in question is equal to 2 times the temperature in degrees Celsius.
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(a) x = 4
First, let's calculate the area of the path as a function of x. You have two paths, one of them is 8 ft long by x ft wide, the other is 16 ft long by x ft wide. Let's express that as an equation to start with.
A = 8x + 16x
A = 24x
But the two paths overlap, so the actual area covered will smaller. The area of overlap is a square that's x ft by x ft. And the above equation counts that area twice. So let's modify the equation by subtracting x^2. So:
A = 24x - x^2
Now since we want to cover 80 square feet, let's set A to 80. 80 = 24x - x^2
Finally, let's make this into a regular quadratic equation and find the roots.
80 = 24x - x^2
0 = 24x - x^2 - 80
-x^2 + 24x - 80 = 0
Using the quadratic formula, you can easily determine the roots to be x = 4, or x = 20.
Of those two possible solutions, only the x=4 value is reasonable for the desired objective.
(b) There were 2 possible roots, being 4 and 20. Both of those values, when substituted into the formula 24x - x^2, return a value of 80. But the idea of a path being 20 feet wide is rather silly given the constraints of the plot of land being only 8 ft by 16 ft. So the width of the path has to be less than 8 ft (the length of the smallest dimension of the plot of land). Therefore the value of 4 is the most appropriate.