Answer:
E (Y) = 3
Step-by-step explanation:
If a 4-sided die is being rolled repeatedly; and the odd-numbered rolls (1st 3rd,5th, etc.)
The probability of odd number roll will be, p(T) = 
However, on your even-numbered rolls, you are victorious if you get a 3 or 4. Also, the probability of even number roll, p(U) =
In order to calculate: E (Y); We can say Y to be the number of times you roll.
We know that;
E (Y) = E ( Y|T ) p(T) + E ( Y|U ) p(U)
Let us calculate E ( Y|T ) and E ( Y|U )
Y|T ≅ geometric = 
Y|U ≅ geometric =
also; x ≅ geometric (p)
∴ E (x) = 
⇒ 
= 4 ; also 
= 2
E (Y) = 4 × + 2 ×
= 2+1
E (Y) = 3
The borrower owes $14,760.82 at the end of 8 years
What is compounding interest?
Compounding interest means that earlier interest would earn more interest in the future alongside the loan principal.
Note that in this case the loan continues to accumulate interest because there no repayments, in other words, the loan balance after 8 years, which comprises of the principal and interest for 8 years can be computed using the future value formula of a single cash flow(the single cash flow is the principal) as shown thus:
FV=PV*(1+r/n)^(n*t)
FV=loan balance after 8 years=unknown
PV=loan amount=$5,000
r=annual interest=14%
n=number of times in a year that interest is compounded=2(twice a year)
t=loan period=8 years
FV=$5000*(1+14%/2)^(2*8)
FV=$5000*(1.07)^16
FV=$5000*2.95216374856541
FV=loan balance after 8 years=$14,760.82
Find out more about semiannual compounding on:brainly.com/question/7219541.
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Answer:
15°
Step-by-step explanation:
If CB is a diameter, the arc BKAC is a semicircle and has a degree measure of 180. If the measure of angle BCK is 20 and it is an inscribed angle, then the measure of the arc it intercepts is twice that. So arc BK measures 40 degrees. That means that arc KA has a measure that is found by subtracting arc AC and arc BK from 180. 180 - 40 - 110 = 30. If that arc is 30 and the angle that intercepts it is inscribed, then the angle measure is half the measure of the arc. So the angle is 15°
Answer: 138
Step-by-step explanation:
40 ways. 6!/3!(6-3)! =120. We are only trying to find 3 ways. 120 is the total, 120/30 =40. So 40 is the answer.
