Answer:
$3500 he can take off his income as a capital loss this year.
Step-by-step explanation:
Capital loss:
1. It is the loss realized when any investment's value gets decreased.
2. quantitatively it is the difference of price at which the invest is bought and price at which the investment is sold.
3. The condition for capital loss is that , selling price of investment should be less that buying price of same investment.
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Given
No. of shares bought = 500
cost of 1 share = $10
cost of 500 share = 500 *$10 = $5000
Thus, buying price of invest = $5000
Now price of share drops to $3 per share
thus total price of share now = 500*$3 = $1500
Thus, he sold his investment at $1500
capital loss incurred by him = $5000 - $1500 = $3500 (Answer)
200 sections will cost $7439.
We first see if the rate of change, the slope, is the same between data points. If it is, the function will be linear. We use the formula
m = (y₂ - y₁)/(x₂ - x₁)
For the first two data points, we have
m = (1889-409)/(50-10) = 1480/40 = 37
For the second two data points, we have
m = (4664-1889)/(125-50) = 2775/75 = 37
Now that we know the slope is the same, we can write the equation:
y - y₁ = m(x - x₁)
y - 409 = 37(x - 10)
y - 409 = 37x - 370
Add 409 to both sides:
y = 37x + 39
Using 200 as x,
y = 37(200) + 39 = 7439
Answer:
Since Paula has her own business of making cakes for special occasions, and the total price (P) of one of Paula's cakes is represented by the equation P = 0.75S +10, where S is the number of people the cake serves, for determine what does the 0.75 represent in this situation and what does the 10 represent in this equation, the following mathematical reasoning must be carried out:
P is the price of the cake
S is the number of servings
Therefore, 0.75 is the value of each serving, which can be variable (the number of servings can vary)
In turn, 10 is the fixed cost of each cake.
Answer:
Step-by-step explanation:
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4/16 in simplest form:
First, we need to find the greatest common factor (GCF) of 4 and 16. Why? We have to find the number that we are going to be dividing the numerator and denominator by to get the simplest form of the fraction. Let's list the factors for 4 and 16:
Factors of 4: 1, 2, 4
Factors of 16: 1, 2, 4, 8, 16
Out of the two sets of factors, which ones are the common ones? The common factors between the two are 1, 2, and 4. Since we are looking for the GREATEST common factor, we have to look at the highest number out of 1, 2, and 4. The GCF is 4, since 4 is higher than 1 and 2.
Second, we now have a number that we are going to divide the numerator and denominator by, which is 4. The numerator is the top number of the fraction (4) and the denominator is the bottom number of the fraction (16).Let's divide now.

Third, we now have the simplified fraction. (1) is our new numerator, and (4) is our new denominator. This makes the new simplified fraction 1/4. So, your answer is C.
Answer in fraction form:

Answer in decimal form: