Answer:
- <u><em>d) increases as the interest rate decreases.</em></u>
Explanation:
<em>Present value</em> is the value today; future value is the value some time in the future.
The mere notion of the value of money in time should tell you that, further away in time (towards the future) a sum of money is found, the lower its value today.
Then, you should be able to rule out some propositions that are contrary to that intuition:
- a<em>) decreases as the time period decreases</em> ↔ clearly false: the present value increases as the time period decreases
- <em>e) is directly related to the time period</em>. ↔ clearly false: the present value is inversely related to the time period.
How is the present value related to the future value?
They are directly related: the higher a lump sum in the future the higher the value of it in the present; more money is more money always. More money in the future has more value in the present; less money in the future has less value in the present. Thus, the option <em>b). is inversely related to the future value</em> is false
How is the present value related to the interest rate?. Which one is true?
- c) is directly related to the interest rate, or
- d) increases as the interest rate decreases
The present value is calculated discounted the future value at the interest rate. The interest rate is in the denominator of the equation to pass from future value to present value. Thus, they are inversely related (c is false); the less the interest rate, the higher the present value of a future amount (confirm d is true).
Therefore, the correct answer is that <em>the present of a lump sum future amount: </em><em><u>d) increases as the interest rate decreases.</u></em>
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Answer:
D. Call an all staff meeting and give everyone the news at once.
Explanation:
Instead of letting the rumors spread throughout the company, what Ben is supposed to do is have a meeting with his entire staff and let all of them know at once what's going on. This way, he will be clear and direct and won't allow for gossip to spread throughout his company and he himself will address the issue head-on. This way he won't leave room for misinterpretation as he will explain what is going to happen.
Answer:
Suppose the cost per hour incurred in operating a cruise ship is 3a + b
dollars per hour, where a and b are positive constants and v is the ship's speed in miles per hour. At what speed (in miles per hour) should the ship be operated between two ports, at a distance D miles apart, to minimize the cost? (Hint: Minimize the cost, not the cost per hour.)
<em>The speed at which the ship would maximize cost is </em>![\sqrt[3]{\frac{3a}{2b} }](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B%5Cfrac%7B3a%7D%7B2b%7D%20%7D)
Explanation:
The problem can be solved using differentiation to get the minimum value of the speed to travel between the two ports. Step by step calculation is contained in the attached images;
Answer:
(C) the intended use of a product.
Explanation:
Implied as the term means that it is obvious, further guarantee means that the guarantee is obvious.
Now, this is because of the use of the product, as for example there is an equipment called heater, which is generally sold in winters, as it warms the room.
Now it is implied that the heater shall at-least be in proper condition and shall work without any failure for one season of winters.
The correct answer is,
Statement C
Answer:
Apple Photography, Inc.
Based on this information, the balance in the cash account at the end of January would be:_____.
b) $12,115.
Explanation:
a) Cash Account
Common Stock $13,600
Insurance (2,200)
Service Revenue 5,800)
Rent (1,600)
Office equipment (3,200)
Utilities (285)
Balance $12,115
b) Apple Photography, Inc had a balance in the cash account at the end of January of $12,115 which was the difference between the cash inflows and cash outflows during the month. The inflows represented cash received by Apple Photography from the owners and customers and the cash paid for running the business.