Nikolas calculated the volume of the prism. His work is shown below. A triangular prism. The triangular base has a base of 5.8 f
eet and height of 6.2 feet. The height of the prism is 9.2 feet. Nikolas’s Work: Area of base = B = one-half b h = one-half (5.8) (6.2) = 17.98 feet squared. Volume = B h = (17.98) (9.2) = 165.416 feet cubed. Where, if any, did Nikolas first make a mistake in his work? A. Nikolas used the wrong measurements when finding the area of the base. B. Nikolas used the wrong formula for the volume of the prism. C. Nikolas made a computational error. D. Nikolas did not make a mistake.
2 answers:
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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