Answer:
$2647.18
Step-by-step explanation:
Formula : ![A[\frac{1+(\frac{r}{n})^{n}-1 }{(\frac{r}{n} )}]](https://tex.z-dn.net/?f=A%5B%5Cfrac%7B1%2B%28%5Cfrac%7Br%7D%7Bn%7D%29%5E%7Bn%7D-1%20%7D%7B%28%5Cfrac%7Br%7D%7Bn%7D%20%29%7D%5D)
Future value = $43,000
r = rate of interest = 9% = 0.09
t = 3.5 years (compounded quarterly)
n = number of compounding (3.5 × 4) = 14
Now put the values into formula :
43000 = ![A[\frac{1+(\frac{0.09}{4})^{14}-1 }{(\frac{0.09}{4} )}]](https://tex.z-dn.net/?f=A%5B%5Cfrac%7B1%2B%28%5Cfrac%7B0.09%7D%7B4%7D%29%5E%7B14%7D-1%20%7D%7B%28%5Cfrac%7B0.09%7D%7B4%7D%20%29%7D%5D)
43000=A(
43,000 = A(16.243708)
A = 
A = $2,647.17883 ≈ $2647.18
-0.127
-0.12
0.20
0.33
45/10
I think that is right
The total number of dancers in the school is 150.
Answer:
a) 2/3
b) 1/3
Step-by-step explanation:
Let X be the random event that measures the time you will have to wait.
Since time is uniformly distributed between 10 and 10:30 in intervals of 1 minute
P(n < X ≤ n+1) = 1/30 for every minute n=0,1,...29.
a)
P( X > 10) = 1 - P(X ≤ 10) = 1 - 10/30 = 2/3
b)
P(10 < X ≤ 20) = (20-10)/30 = 1/3
Use the cross product to find the orthogonal vector, solve the parametric equation to see at which (t) the point + orthogonal vector intersects the plane, the distance is (t) * norm of vector
