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
Answer:
<h2><em>
SURFACE AREA= 110.59</em></h2>
Step-by-step explanation:
<em>THE FORMULA TO FINDING THE VOLUME OF A CUBE IS V=A³</em>
<em>SIMPLY PLUGIN 4.8 FOR "A" EQUATION SHOULD LOOK LIKE V=4.8³ AND YOU WILL GET THE SAME ANSWER I DID</em>
The value of x in the equation is 59/5
<h3>How to solve for x?</h3>
The equation is given as:
5x = 59
Divide both sides by 5
x = 59/5
This means that the value of x in the equation is 59/5
To know if the value is accurate, we simply multiply 5 by 59/5 and we get 59 as in 5x = 59
Read more about equations at:
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Answer: transversal lines is a line that passes through two lines in the same plane.
Step-by-step explanation:
For example this picture
a. The expression for the tension in the string is T = mg
b. The expression for the tension in the chain is T = 2mg
To solve the problem, we need to know what tension is.
<h3>What is tension?</h3>
This is the opposing force in a stretched material.
<h3>a. Tension in the string</h3>
The expression for the tension in the string is T = mg
Since the string supports the weight of the object, the tension in the string equals the weight of the particle.
Let
- T = tension in sring and
- W = weight of particle = mg where
- m = mass of particle and
- g = acceleration due to gravity
So, T = W
T = mg
So, the expression for the tension in the string is T = mg
<h3>b. Tension in chain</h3>
The expression for the tension in the chain is T = 2mg
<h3 />
Since the chain supports both strings, the tension in the chain equals the tension in both strings.
Let
- T' = tension in chain and
- T = tension in each string
So, T' = T + T
T' = 2T
T' = 2W
T' = 2mg
So, the expression for the tension in the chain is T = 2mg
<h3 />
Learn more about tension here:
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