Answer:
Ans. Price of the bond is $9,250.57
Explanation:
Hi, first we need to establish the semi-annual coupon of the bond and the semi-annual discount rate (YTM semi-annually)
Coupon=10000*(4.9%/2)= $245
To turn the annaul YTM to semi-annual, we have to use the following equation
After all this, we are ready to find the price, here is the math of this.
Best of luck.
Answer:
the marginal cost curve is upward sloping.
Explanation:
Utility can be defined as any satisfaction or benefits a customer derives from the use of a product or service.
This ultimately implies that, any satisfaction or benefits a customer derives from the use of a product or service is generally referred to as a utility.
Basically, the marginal utility of goods and services is the additional satisfaction that a consumer derives from consuming or buying an additional unit of a good or service.
For example, buying a candy stick and eating it may satisfy your cravings but eating another one (an additional or extra unit) wouldn't give you as much satisfaction as the first due to diminishing marginal utility.
In Economics, the law of diminishing marginal utility states that as the unit of a good or service consumed by an individual increases, the additional satisfaction he or she derives from consuming additional units would start decreasing or diminishing as the units of good or service consumed increases.
Marginal cost can be defined as the additional or extra cost that is being incurred by a company as a result of the production of an additional unit of a product or service.
Generally, marginal cost can be calculated by dividing the change in production costs by the change in level of output or quantity. A marginal cost curve is upward sloping because of the law of diminishing returns.
She should choose to<span> take a lump-sum of $271,000 now. This is the best option since the other option would have a present value less than $271,000. If you use the present value annuity calculator, you can get the present value of the installment option to be </span>$259,768.60. Therefore, the the lump – sum payment option is the most appropriate.<span> </span>
Answer: The change in revenue for the sale of 1 more doghouse $ 66.67 dollars
Explanation: Differential is a function that can be used to approximate function value with a great degree of accuracy. This is done by the following.
Mathematical definition of derivative: f'(x) = lim f(x+Δx) - f(x)/Δx.
If Δx is very small:
f'(x) . Δx ≅ f(x+Δx) - f(x)
Knowing that Δy ≅ f(x+Δx) - f(x) and the diferential of variable x can be written by dx as the variable y can be dy:
dy = f'(x) dx
which means that the differential dy is approximately equal to the change Δy, if Δx is very small.
For the question, R(x) = y(x) = 14,000ln(0.01x+1)
f'(x) = ![\frac{d[14,000.ln(0.01x+1)]}{dx}](https://tex.z-dn.net/?f=%5Cfrac%7Bd%5B14%2C000.ln%280.01x%2B1%29%5D%7D%7Bdx%7D)
Using the chain rule, the derivative will be:
f'(x) = 14,000.
dy = 14,000..dx
dx is the change in x. For the question, the change is 1 (1 more doghouse) and x is 110:
dy = 14,000
dy = 
dy = 66.67
The change in revenue is $66.67 dollars.
Answer:
$4,713.425
Explanation:
The computation of amount of net pay for the employee for the month of January is shown below:-
Deductions = (Gross earning × Social security tax rate) + (Gross earning × Medicare tax rate) + Federal income taxes + Health insurance + Contribution of retirement plan
= ($5,550 × 6.2%) + ($5,550 × 1.45%) + $184 + $152 + $76
= $344.1 + $80.475 + $184 + $152 + $76
= $836.575
Net pay = Gross earning - Deductions
= $5,550 - $836.575
= $4,713.425
Therefore for computing the net pay we simply applied the above formula.
