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My mission in life is to be a person for others. I want to share my talents and skills to other people. Aside from this, I want to extend my help especially to those in need. Everyday in my life, I would like to give positively impact to each person I meet.
Someday, I aspire to become a lawyer in which I believe is a great and respectable profession. I want to provide high quality legal services. I want to be known as someone who is innovative and excellent in creating legal solutions. By doing so, this will give fulfillment in my career and pride to my family.
Answer:
The certificate of deposit be worth $338496.8 at the end of five years if interest is compounded at an annual rate of 9%
Explanation:
Certificate of deposit of 220000 after 5 years @ 9% is calculated as below
As per the Present and future value tables of $1 at 9% presented
FVA of $ 1 after 5 years is 5.9847 and
PVA of $ 1 after 5 years is 3.88965
PV of 220000 will become = 220000*5.9847/3.88965
= $338496.8
Therefore, The certificate of deposit be worth $338496.8 at the end of five years if interest is compounded at an annual rate of 9%
Answer:
- <em>As explained below, given that the score of the person is among the 0.03125 fraction of the best applicants, </em><u><em>he can count on getting one of the jobs.</em></u>
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Explanation:
The hint is to use <em>Chebyshev’s Theorem.</em>
Chebyshev’s Theorem applies to any data set, even if it is not bell-shaped.
Chebyshev’s Theorem states that at least 1−1/k² of the data lie within k standard deviations of the mean.
For this sample you have:
- mean: 60
- standard deviation: 6
- score: 84
The number of standard deviations that 84 is from the mean is:
- k = (score - mean) / standar deviation
- k = (84 - 60) / 6 = 24 / 6 = 4
Thus, the score of the person is 4 standard deviations above the mean.
How good is that?
Chebyshev’s Theorem states that at least 1−1/k² of the data lie within k standard deviations of the mean. For k = 4, that is:
- 1 - 1/4² = 1 - 1/16 = 0.9375
- That means that half of 1 - 0.9375 are above k = 4: 0.03125
- Then, 1 - 0.03125 are below k = 4: 0.96875
Since there are 70 positions and 1,000 aplicants, 70/1,000 = 0.07. The compnay should select the best 0.07 of the applicants.
Given that the score of the person is among the 0.03125 upper fraction of the applicants, this person can count of geting one of the jobs.
Answer:
I will be willing to pay $1,106 for a vanguard bond.
Explanation:
Coupon payment = Par value x Coupon rate
Coupon payment = $1,000 x 8%
Coupon payment = = $80
Price of bond is the present value of future cash flows, to calculate Price of the bond use following formula:
Price of the Bond = C x [ ( 1 - ( 1 + r )^-n ) / r ] + [ F / ( 1 + r )^n ]
Price of the Bond =$80 x [ ( 1 - ( 1 + 7% )^-20 ) / 7% ] + [ $1,000 / ( 1 + 7% )^20 ]
Price of the Bond = $80 x [ ( 1 - ( 1.07 )^-20 ) / 0.07 ] + [ $1,000 / ( 1.07 )^20 ]
Price of the Bond = $848 + $258
Price of the Bond = $1,106