Answer:
The specified preferences of Charles, Diana and Juanita. Charles and Juniata prefer chocolate over red velvet cake. Dina favors red velvet over chocolate.
So, when there is voting among red velvet and chocolate cake, the majority will select the Chocolate cake and among winner and vanilla majority will vote for Vanilla cake.
This is because Dina and Juanita favor vanilla over chocolate.
Among Chocolate and vanilla cake, the majority will elect for vanilla and among this winner and red velvet cake, the majority will choose for Red velvet cake.
This is because Diana and juanita favor vanilla over chocolate. So, vanilla cakes get majority elects. When there is voting among vanilla and red velvet , red vanilla acquire majority votes as charles and dina favor red velvet over vanilla.
The statement is False. The preferences are not transitive.
In the first situation chocolate is chosen to vanilla and red velvet is preferred to vanilla. Although, in the second situation, chocolate is favored to red velvet and vanilla is preferred to chocolate. Thus, the preferences do not exhibit transitivity.
Answer:
-1.167%
Explanation:
The current value of the stock is given by applying all of the realized returns to the initial purchase price. Let 'A' be the initial price, the price at the end of the year is:
At the end of the year, the stock had a price of 0.9883 times the initial price, the annual realizes return was:
Annual realized return was -1.167%.
Answer:
Total value of the investment= $57,320.73
Explanation:
<u>First, we need to calculate the future value of the first part of the investment. We will calculate the future value for the monthly deposit for five years and then the lump sum for another five years.</u>
FV= {A*[(1+i)^n-1]}/i
A= monthly deposit
i= 0.04/12= 0.003333
n= 5*12= 60 months
FV= {322*[(1.003333^60) - 1]} / 0.003333
FV= $21,348.05
<u>For the lump sum:</u>
FV= PV*(1+i)^n
n= 12*5= 60
i= 0.05/12= 0.004167
FV= 21,348.05*(1.004167^60)
FV= $27,397.75
<u>Now, the future value of the second part of the investment:</u>
<u></u>
n= 60
i= 0.0041667
A= 440
FV= {440*[(1.004167^60) - 1]} / 0.004167
FV= $29,922.98
Total value of the investment= 27,397.75 + 29,922.98
Total value of the investment= $57,320.73
