weighing the information needed to make rational decisions
Answer:
7 packets of sweet-pepper seeds and 9 packet of hot-pepper seeds.
Explanation:
Let x packets of sweet-pepper seeds for $2.16 each and y packets of hot-pepper seeds for $4.24 each are mixed to obtain 16-packet mixed pepper assortment for $3.33 per packet,
i.e. x + y = 16 ..........(1)
Also,
The price of sweet-pepper seeds + price of hot pepper seeds = price of the mixture
⇒ 2.16x + 4.24y = 3.33(x+y)
⇒ 2.16x + 4.24y = 3.33x+3.33y
⇒ 2.16x + 4.24y - 3.33x-3.33y = 0
⇒ −1.17x +0.91y = 0 ........(2)
Equation (2) + 1.17 × equation (1)
0.91y + 1.17y = 18.72
2.08y = 18.72
⇒ y = 9
From equation (1),
x + 9 = 16 ⇒ x = 16 - 9 ⇒ x = 7
Hence, there are 7 packets of sweet-pepper seeds and 9 packet of hot-pepper seeds.
Answer: b. The beta of the portfolio is higher than the highest of the three betas
Explanation:
The beta of a portfolio is calculated as a weighted average of the individual betas of the individual stocks. As such, the highest individual beta will be the upper limit of the portfolios entire beta.
For instance.
3 stocks A, B and C have betas of 1, 1.3 and 2 respectively.
A has a weight of 1%, B has a weight of 1% and C has a weight of 98%.
The portfolio beta will be;
= (0.01 * 1 ) + ( 0.01 * 1.3) + ( 0.98 * 2)
= 1.98
Even if the stock with the highest beta had an advantage of weighing such a high figure, it it mathematically impossible for the portfolio beta to be higher than it.
Answer:
The human rights violated was the Americans with Disability Act (ADA)
Explanation:
The Americans with Disability Act (ADA) which became effective in 1990 is a a civil rights act that prohibits any form of discrimination based on disabilities. The civil rights law also covers for employees with disabilities which include both mental and physical conditions.
As stated by the Equal Employment Opportunity Commission, some disabilities included in the ADA civil rights law include; autism, diabetes, multiple sclerosis, bipolar disorder and many others.
From the case stated above, the cashier, a diabetic ate a bag of potato chips without paying but paid as soon as her shift ended which led to the termination of her appointment.
She ate the chips without paying because she realized her blood glucose level was low and was about to have a hypoglycemia attack.
Her employer knew of her disability but still went ahead to fire her, violating her ADA civil rights.
Knowing about her disability, they would have accommodated her seeing that she prevented an impending emergency (hypoglycemia attack). No matter how strict the organization’s policies are, they should be flexible especially with disabled people.
Answer:
The amount of the cash flow to creditors is $74
Explanation:
Beginning of the year:
Long-term debt = $308
Total debt = $339
At the end of the year:
Long-term debt = $269
Total debt = $349.
Interest = $35
Net new borrowing = Ending Long-term debt - Beginning Long-term debt
= $269 - $308
= ($39)
Cash flow to creditors = Interest paid - Net new borrowing
= $35 - ($39) = $ 74