The points (0,8),(5,3),(4,2) and (-1,7) are vertices of a rectangle. Determine the coordinates of the midpoints for each side an
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Answer:
Step-by-step explanation:
<h2><u>A:</u></h2>We know that the total investment period is 1 year, then since A started, A invested Rs 26,000.
<u>Now, since A has been working for 12 months, this is where the effective investment comes in:</u>
A effective investment = Rs 312,000
<h2><u>B:</u></h2><u>Then after 3 months, B joined, so:</u>
12 months - 3 months = 9 months in work
B overall invested = Rs 16,000
<u>Since B only worked nine months, we use that to find effective investment:</u>
B effective investment = Rs 144,000
<h2>C:</h2><u>C joined x months since B joined in:</u>
<u>We don't know how much C worked for, but we know that C joined after B:</u>
C investment period = 9 months - x certain amount of months
We know that C's investment is Rs 25,000
<u>Find effective investment:</u>
<u>Rs 25,000 * ( 9 - x ) = Rs 225,000 - 25,000x then to find the total investment:</u>
<u></u>
<u>Add all effective investment:</u>
Rs 312,000 + Rs 144,000 + Rs 225,000 - 25,000x
= Rs 681000 - 25,000x
We now know that C's investment is 225,000 - 25,000x
<u>Find profit share:</u> 225,000 - 25,000x
==> Rs 3,825
<u>The total profit:</u>
Rs 15,453
<u>To get our final answer, we must do this operation:</u>
<u>C investment divided by Total Investment = C's profit and total profit:</u>
( Rs 225,000 - 25,000x) ÷ ( Rs 681,000 - 25,000x ) = Rs 3,825 / Rs 15,453
25 ( Rs 9,000 - 1,000x)/(Rs 681,000 - 25,000x) = (153 * 25) /(153 * 101)
( Rs 9,000 - 1,000x ) ÷ ( Rs 681,000 - 25,000x ) = 1 / 101
Rs 909,000 - 101,000x = Rs 681,000 - 25,000x
Rs 228,000 = 76,000x
Rs 228 = 76x
x = 3
Answer: (1, 2)
Concept:
There are three general ways to solve systems of equations:
- Elimination
- Substitution
- Graphing
Since the question has specific requirements, we are going to use <u>elimination</u>
Solve:
<u>Given expressions</u>
x + 5y = 11
-x + 4y = 7
<u>Add both equations together to elimination [x] variable</u>
(x + 5y) + (-x + 4y) = 11 + 7
x - x + 5y + 4y = 18
9y = 18
<u>Divide 9 on both sides</u>
9y / 9 = 18 / 9
<u>Find the x value</u>
x + 5y = 11 ⇔ <em>Given equation</em>
x + 5(2) = 11 ⇔ <em>Substitute values of y</em>
x + 10 = 11 ⇔ <em>Simplify by multiplication</em>
x + 10 - 10 = 11 - 10 ⇔ <em>Subtract 10 on both sides</em>
Hope this helps!! :)
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