Answer:
AB = 11.5mm
Step-by-step explanation:
let the hypotenuse be AC = 23mm
Angle of elevation = 30degrees
Required
Opposite AB
Using the SOH CAH TOA identity
Sin theta = opp/hyp
Sin 30 = AB/AC
Sin 30 = AB/23
0.5 = AB/23
AB = 0.5 * 23
AB = 11.5mm
Answer:
Brownian Motion- The usual model for the time-evolution of an asset price S(t) is given by the geometric Brownian motion.
Now the geometric Brownian motion is represented by the following stochastic differential equation:
- Note- <em>coefficients μ representing the drift and σ,volatility of the asset, respectively, are both constant in this model.</em>
To solve the problem now we have the been Data provided:
μ= 0.12,
σ=0.24,
Step-by-step explanation:
<u>Step A:</u>
we have, the variables of Black Scholes Model, by putting the values of variables available, we get:
- S = Current stock price = 40
,
Next is, "r" the risk free rate,
- risk free rate, r = mu = 0.12
,
- time to maturity, T, as we have;
- T= 4 months = 4/12.
- T = 1/3 year(360 days)
<u>Step B:</u>
We now need to calculate the parameter d₂ of the Black Scholes Model. .
- The probability which we want is 1 - N(-d₂),
<u>Step C:</u>
As step C is done on excel for further calculations so, do use it if you are solving it on computer.
Answer:
$3,113,34
Step-by-step explanation:
The formula for calculating compound interest is
Where
A=the future total value, i.e, the money you will have after t years.
P=the initial deposit.
r=the annual interest rate.
n=the number of times that interest is compounded per year.
t=the number of years the money is saved.
In our case
A is unknown and we will have to calculate it with the formula.
P=$12,000
r=2.9%=0.029
n=365 because the interest is compounded daily and there are 365 days in a year
t=8 years
Applying the formula we get
So A=15,113.336
This is the amount of money you would have after 8 years.
Subtracting the initial deposit from this amount we obtain the interest earned I
I=15,113.336-12,000=3,113.336
Rounded to the nearest hundreth
I=$3,113,30
Alternate means opposite in a way, and the only answer that gives us "opposite angles" is D. angle 4 and angle 6.
Answer:
C
Step-by-step explanation: