The answer is -76.1 meters.
The submarine elevation before rising is -203 meters (it is negative because it is under the sea level which has 0 elevation): d₁ = -203 m
After the first rising, it moved 64.5 m: l₁ = 4.3 · 15 = 64.5 m
After the second rising, it moved 62.4 m: l₂ = 5.2 · 12 = 62.4 m
So, to calculate the elevation of the submarine after rising (d₂), we will add (because it is not going deeper, it rises toward the elevation of 0) two movements to the elevation before rising:
d₂ = d₁ - (l₁ + l₂) = -203 + (64.5 + 62.4) = -203 + 126.9 = -203 + 126.9 = -76.1.
Answer:
$4.49
Step-by-step explanation:
If bananas are $5.99, we need to find 75% of the price, or 25% off. There are two ways we can do this, I'll show the more detailed way. First, we multiply 5.99 by .25 to find 25% of it. We got ~1.50. This means that 25% of 5.99 is 1.50. Now, we take away 1.50 from 5.99. This gets us $4.49. That means the price of the bananas with the discount is $4.49. The other way we can do this is multiply 5.99 and .75 (because 25+75=100). This gets us 4.4925, which rounds to $4.49. I hope this helps!
Answer:
Step-by-step explanation:
An option to buy a stock is priced at $150. If the stock closes above 30 next Thursday, the option will be worth $1000. If it closes below 20, the option will be worth nothing, and if it closes between 20 and 30, the option will be worth $200. A trader thinks there is a 50% chance that the stock will close in the 20-30 range, a 20% chance that it will close above 30, and a 30% chance that it will fall below 20.
a) Let X represent the price of the option
<h3><u> x P(X=x)
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$1000 20/100 = 0.2
$200 50/100 = 0.5
$0 30/100 = 0.3
b) Expected option price
Therefore expected gain = $300 - $150 = $150
c) The trader should buy the stock. Since there is an positive expected gain($150) in trading that stock option.
