Answer:
FV= $2,041.29
Step-by-step explanation:
Giving the following information:
Initial investment (PV)= $1,500
Number of periods (n)= 7 years
Interest rate (i)= 4.5% = 0.045
<u>To calculate the future value, we need to use the following formula:</u>
FV= PV*(1+i)^n
FV= 1,500*(1.045^7)
FV= $2,041.29
For this problem, the most accurate is to use combinations
Because the order in which it was selected in the components does not matter to us, we use combinations
Then the combinations are ![nC_r = \frac{ n! }{r! (n-r)!}](https://tex.z-dn.net/?f=%20nC_r%20%3D%20%5Cfrac%7B%20n%21%20%7D%7Br%21%20%28n-r%29%21%7D%20%20%20)
n represents the amount of things you can choose and choose r from them
You need the probability that the 3 selected components at least one are defective.
That is the same as:
(1 - probability that no component of the selection is defective).
The probability that none of the 3 selected components are defective is:
![P = \frac{_{117}C_3}{_{120}C_3}](https://tex.z-dn.net/?f=%20P%20%3D%20%5Cfrac%7B_%7B117%7DC_3%7D%7B_%7B120%7DC_3%7D%20%20%20)
Where
is the number of ways to select 3 non-defective components from 117 non-defective components and
is the number of ways to select 3 components from 120.
![_{117}C_3 = 260130](https://tex.z-dn.net/?f=%20_%7B117%7DC_3%20%3D%20260130%20%20)
![_{120}C_3 = 280840](https://tex.z-dn.net/?f=%20_%7B120%7DC_3%20%3D%20280840%20%20)
So:
![P = \frac{260130}{280840} = 0.927](https://tex.z-dn.net/?f=%20P%20%3D%20%5Cfrac%7B260130%7D%7B280840%7D%20%3D%200.927%20%20%20)
Finally, the probability that at least one of the selected components is defective is:
![P = 1-0.927 = 0.0737](https://tex.z-dn.net/?f=%20P%20%3D%201-0.927%20%3D%200.0737%20)
P = 7.4%
Answer:
22.5%
Step-by-step explanation:
Answer:
and?
Step-by-step explanation:
???
Answer:
4.02°
Step-by-step explanation:
The angle of descent can be obtained using trigonometry ;
Since we have a right angled triangle ;
Let's use the relation:
Sin θ = opposite / hypotenus
Hypotenus = 2.7 miles
1 mile = 5280 feets
2.7 miles = (2.7 * 5280) = 14256 feets
Sin θ = 1000 / 14256
Sin θ = 0.0701459
θ = sin^-1(0.0701459)
θ = 4.0223674