Given that question: Shyam invested money in the stock market. In the first
year, his stock increased 20%. He paid his stock broker $300 and then lost
$450. He withdrew $500, and then his remaining investment doubled. Shyam’s investment is now worth $7100. How much was Shyam’s original investment?
The solution is as follows:
Let the amount Shyam invested in the stock market be x, then in the first year his stock increased by 20% giving 1.2x.
He paid his stockbrocker $300 to have 1.2x - $300 left, and he lost $450 to have 1.2x - $300 - $450 = 1.2x - $750 left.
He withdrew $500 to have 1.2x - $750 - $500 = 1.2x - $1,250 left.
His remaining investment doubled to have 2(1.2x - $1,250) = 2.4x - $2,500
Shyam's investment is now worth $7,100 which means that
2.4x - $2,500 = $7,100
2.4x = $7,100 + $2,500 = $9,600
x = $9,600 / 2.4 = $4,000
Therefore, the value of Shyam's original investment is $4,000
Answer:
but anyways the answer is −4, 4
Step-by-step explanation:
Answer:
θ = 0.77+6.28k, -0.77+6.28k, includes {-7.05, -5.52, -0.77, 0.77, 5.52, 7.05}
Step-by-step explanation:
The principal value of θ can be found using the inverse cosine function:
θ = arccos(0.72) ≈ 0.766994
Additional values of θ that also satisfy the equation are values that are this far away from any multiple of 2π, that is, ...
θ = ±arccos(0.72) + 2kπ ≈ ±0.77 +6.28k
Some approximate values for θ are {-7.05, -5.52, -0.77, 0.77, 5.52, 7.05}.
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<em>Comment on multiples of π</em>
Since π is irrational, the larger the multiple, the larger the error for any given approximation of π. One needs to be careful to use a suitable approximation for the multiple of interest. The same problem affects calculator accuracy for angles of very large magnitude.
Answer:
there is no equation
Step-by-step explanation:
exterior angle is equal to sum of two opposite interior angle
141= 32 + x
141-32= x= 109° ANS.
