Answer:
(C) Pepin The Short
Explanation:
In 741AD, Pepin took over from his father as Mayor of the Palace. He ruled alongside his elder brother.
In 743AD, Pepin and his brother chose Childeric to be the <em>apparent</em> King of the Franks. Both brothers still wielded the functional power to the throne. Childeric was just to 'appear to be' the King (unknown to him though).
In 747AD, Pepin's brother stepped down (intentionally and on his own accord). Pepin then became the only ruler of the entire Frankish territory.
In 751AD, Pepin, without full support from his clan, lured Childeric into monastery in order to remove him as the 'face of Francia'.
Pope Zacharias helped Pepin to be proclaimed King of the Franks, against all opposition.
Answer:
The correct option is C
Explanation:
The deficit or shortage on the current account of the country, is defined as the measurement or determination of the trade of the company where the goods and the service value, it imports exceeds or increase the value of the products it exports.
The current account of the country states the foreign transactions of the country within the time period.
So, when there is deficit or shortage on the current account, it means that usually, it will cause deficit in the finance as well as the capital account of the country.
Some of the advantages of sole proprietorship
1. efficient decision making, by owner only
2. easy to set up, minimal cost, minimal fuss
3. low fixed cost (overhead), could be a home-office
I might have missed others, you could figure them out from the options
Other things remaining constant, increased US imports will <u>D. Tend to cause the </u><u>dollar</u><u> to depreciate</u> because the world supply of dollars will rise.
<h3>What is the implication of increased United States imports with other factors constant?</h3>
With increased imports by the United States, and if all other factors are held constant, the supply of dollars will increase.
When the supply of dollars increases without a corresponding increase in demand, the dollar will depreciate or lose its value relatively.
Thus, if other things remain constant, increased US imports will <u>D. Tend to cause the </u><u>dollar</u><u> to depreciate</u> because the world supply of dollars will rise.
Learn more about exchange rates at brainly.com/question/2202418
Answer:
a-1 Present value = 6,177.39
a2- Present Value =6,227.79
a3- Choose the payment stream with the highest present value = a2
b1- Present Value=3,353.98
b2-Present Value=2,805.28
b3-Choose the payment stream with the highest present value = b1
Explanation:
a-1 describes an ordinary annuity whose present value is calculated as follows:
![Present value =PMT*\frac{[1-(1+i)^-^n]}{i}](https://tex.z-dn.net/?f=%20Present%20value%20%3DPMT%2A%5Cfrac%7B%5B1-%281%2Bi%29%5E-%5En%5D%7D%7Bi%7D)
where PMT=$800; i= 5%, n= 10
![Present value =800*\frac{[1-(1+0.05)^-^1^0]}{0.05}](https://tex.z-dn.net/?f=%20Present%20value%20%3D800%2A%5Cfrac%7B%5B1-%281%2B0.05%29%5E-%5E1%5E0%5D%7D%7B0.05%7D)
= 6,177.39
a2- ![Present value =600*\frac{[1-(1+0.05)^-^1^5]}{0.05}](https://tex.z-dn.net/?f=Present%20value%20%3D600%2A%5Cfrac%7B%5B1-%281%2B0.05%29%5E-%5E1%5E5%5D%7D%7B0.05%7D)
= 6,227.79
a3- If I were receiving these payments annually, I would prefer the payment stream with the highest present value ie a2 -Annual payment of $600 for 15 years at 5% interest.
b1- ![Present value =800*\frac{[1-(1+0.20)^-^1^0]}{0.20}](https://tex.z-dn.net/?f=Present%20value%20%3D800%2A%5Cfrac%7B%5B1-%281%2B0.20%29%5E-%5E1%5E0%5D%7D%7B0.20%7D)
= 3,353.98
b2-![Present value =600*\frac{[1-(1+0.20)^-^1^5]}{0.20}](https://tex.z-dn.net/?f=Present%20value%20%3D600%2A%5Cfrac%7B%5B1-%281%2B0.20%29%5E-%5E1%5E5%5D%7D%7B0.20%7D)
=2,805.28
b3- f I were receiving these payments annually, I would prefer the payment stream with the highest present value ie b1- Annual payment of $800 for 10 years at 20% interest.
