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2 years ago

David inherited some money from his uncle. He invested half of the money with Bernie

1 answer:

3 0

Given:
Let x be the whole amount inherited.
1/2 * x - invested with Bernie Madoff
1/3 * x - lost due to identity theft
1/8 * x - lost in casino
40,000 - remainder

x - x/2 - x/3 - x/8 = 40,000

LCM:
2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24
3: 3, 6, 9, 12, 15, 18, 21, 24
8: 8, 16, 24,

x * 24/24 = 24x / 24
x/2 * 12/12 = 12x / 24
x/3 * 8/8 = 8x / 24
x/8 * 3/3 = 3x / 24
40,000 * 24/24 = 960,000 / 24

24x/24 - 12x/24 - 8x/24 - 3x/24 = 960,000/24
(24x - 12x - 8x - 3x)/24 = 960,000/24
x/24 = 960,000/24
24 * x/24 = 24 * 960,000/24
x = 960,000

x = 960,000 initial inheritance
x/2 = 960,000/2 = 480,000 invested with Bernie Madoff
x/3 = 960,000/3 = 320,000 lost due to identity theft
x/8 = 960,000/8 = 120,000 lost in the casino
40,000 - remaining amount.

960k - 480k - 320k - 120k = 40k
40k = 40k

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Please give me an approximation of how long it would take to evacuate a population of 91,000 to a destination 21 miles away, usi

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Answer:

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Step-by-step explanation:

Population = 91,000 ppl

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1. Assuming that people is evacuated at the max. speed allowed, it means that each trip will take:

T = D/V

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So;

T = 21 miles / 60mph

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To know how long it would take us to evacuate 91,000 people under these conditions, we would have to divide the total amount by the previously calculated evacuation rate

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Read 2 more answers

What is the sum of the roots of the quadratic equation x²+6x-14=0?

aivan3 [116]

Answer:

<h3>Sum of Roots = (-8) </h3><h3>Product of Roots = (-84) </h3>

Step-by-step explanation:

${x}^{2} + 6x - 14 = 0$

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[6 + (-14)]

= (-8)//

Product of the roots :

[(6)(-14)]

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