Answer:
Bond Price = $877.3835955 rounded off to $877.380
Explanation:
To calculate the price of the bond, we need to first calculate the coupon payment per period. We assume that the interest rate provided is stated in annual terms. As the bond is an annual bond, the coupon payment, number of periods and r or YTM will be,
Coupon Payment (C) = 0.064 * 1000 = $64
Total periods (n)= 25
r or YTM = 7.5% or 0.075
The formula to calculate the price of the bonds today is attached.
Bond Price = 64 * [( 1 - (1+0.075)^-25) / 0.075] + 1000 / (1+0.075)^25
Bond Price = $877.3835955 rounded off to $877.380
Answer:

And we can solve for y and we got:

And using condition (1) we can solve for x and we got:

So then the minimum cost for this case would be:

Explanation:
For this case the graph attached illustrate the problem for this case
We know that the total area is 60000, so then we have:

If we solve for x we got:
(1)
Now we can define the cost function like this:


We can use the condition (1) and if we replace in the cost function we have:

Since we need to minimize the cost, we can derivate the function in terms of y and we got:

And we can solve for y and we got:

And using condition (1) we can solve for x and we got:

So then the minimum cost for this case would be:

Answer:
14.34%
Explanation:
To find the percentage of returned surveys over the total we divide and then multiply:
(717/5000)*100= 14.34%
The response rate appears to be low because it is less than 50% (which would be 2500 return surveys). Some statistical studies agree that 30 is the minimum number of observations a study must have, but this number does not ensure statistically significant results.
The problem with a very low response rate is that survey´s answers does not significant represent the study population characteristics and so we cannot make inferences, correlations or regressions that are statistically significant. In this case, the conclusions that scientists make about association between the left-handed population and right-handed population with the use of cell phone calls could be wrong or not represent the population characteristics, which means answers are not trustful.
Answer: $789855
Explanation:
Initial liability = $1,006,192
Less: Payment = $159,000
Liability = $847192
× Implicit rate 12%
Interest = 12% × $847192 = $101663
Then, reduced balance will be:
= Payment - Interest
= $159,000 - $101663
= $57337
Therefore, Francisco lease liability at December 31, 2022 will be:
= $847192 - $57337
= $789855