Answer:
D
Step-by-step explanation:
∵ The formula of the compound interest is
→ A is the new amount
→ P in the initial amount
→ r is the interest rate in decimal
→ n is the number of periods
→ t is the time
∵ The initial amount is 800 dollars
∵ The annual rate is 3% = 3/100 = 0.03
∵ It is a compounded annually
∴ n = 1
∵ t = 5 years
→ Substitute all of these values in the formula above
→ Use the calculator to find the answer
∴ A = 927.4192594 dollars
Answer:
0.9009
Step-by-step explanation:
Let X be the event that Current will flow
Let Y be the event that the first relay which is 1 is closed
Thus, we can say that every element of Y is in X, but X possesses more elements. Thus, Y ⊂ X.
Thus, we can say that;
P(X ∩ Y) = P(Y)
Thus, given that current flowed, the probability that relay 1 functioned will be expressed as;
P(Y | X) = (P(Y ∩ X))/P(X)
From earlier, we saw that P(X ∩ Y) = P(Y). Thus;
P(Y | X) = P(Y)/P(X)
From the question, P(Y) = 0.9
Since there are 3 relays, then we have;
P(X) = 1 - 0.1³ = 0.999
Thus;
P(Y | X) = 0.9/0.999
P(Y | X) = 0.9009
Answer:
Look below in the Explanation.
Step-by-step explanation:
A. Greater than one
B. Greater than One
C. Less than one
D. Greater than 1
E. Equal to one
No it is not linear because it would make a curved line
