Given:
Principal = $3,500
Rate of interest = 7% compounded quarterly (4 times in an year)
Time = 6 years
To find:
The amount.
Solution:
The formula for the amount is
Where, P is principal, r is rate of interest, n is number of times interest compounded in an year and t is number of years.
Putting P=3500, r=0.07, n=4 and t=6 in the above formula, we get
Therefore, the amount after 6 years is $5307.55.
Volume is length x width x height so 24 x 12 x 18 is your answer
Answer:
a) 33.33%)
b) 135 minutes
c) 8.66 min
d) 50%
Step-by-step explanation:
a) the probability for a uniform distribution is
P(b<X<a) = (a-b)/(c-d) , where c and d are the maximum and minimum values
therefore the probability that the flight is more than 140 minutes ( and less than 150 since it is the maximum value)
P(140<X<150) = (a-b)/(c-d) = (150-140)/(150-120) = 10/30 = 1/3 (33.33%)
b) the mean (expected value) for a uniform probability distribution is
E(X) = (c+d)/2 = (120+150)/2 = 135 minutes
c) the standard deviation for a uniform probability distribution is
σ²(X)= (c-d)²/12 = (150-120)²/12 = 75 min²
σ = √75 min² = 8.66 min
b) following the same procedure as in a)
P(120<X<135) = (a-b)/(c-d) = (135-120)/(150-120) = 15/30 = 1/2 (50%)
