Japhus Moore's credit card statement showed a previous balance of $921.07 , a financial charge of $13.80, new purchases of $962.
2 answers:
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Answer: No, A and B are not independent events.
∵ it does not satisfy the rule of probability for independent events i.e.
P(A∩B)=P(A).P(B)
Explanation:
Let A be the event that the black dice shows 2 or 5
Let B be the event that the sum of two dice is atleast 7
Sample space of A={(
}
Sample space of B= { ,
,
}
P(A)=
⇒P(A)=
⇒P(A)=
Similarly,
P(B)=
⇒ P(B) =
Now for Sample Space of (A∩B)= {}
So, P(A∩B)=
Now we apply the formula,
P(A).P(B)=P(A∩B)
×
≠
≠
∴ The events A and B are not independent events.
Compound Interest Formula:
P = initial investment of 20,000
r = interest rate (What we need to find)
n=number of compounding periods per year (Semiannually means twice per year)
A= Amount after t-years
Okay, let's plug it all in.
41,951 = 20000 (1 + r/2)^2(30)
41,951/20000 = (1 + r/2)^60
(41,951/20000 )^1/60 = 1 + r/2
(41,951/20000 )^1/60 - 1 = r/2
2( (41,951/20000 )^1/60 - 1 ) = r
0.02484539... = r
0.02484 * 100 = 2.48% rounded to the nearest hundredth of a percent
I hope I've helped! :)