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valentinak56 [21]
2 years ago
12

Suppose you purchase one share of the stock of Red Devil Corporation at the beginning of year 1 for $42.50. At the end of year 1

, you receive a dividend of $2, and buy one more share for $46.50. At the end of year 2, you receive total dividends of $4 (i.e., $2 for each share), and sell the shares for $54.50 each. What is the time-weighted return on your investment
Business
1 answer:
kkurt [141]2 years ago
8 0

Answer:

17.76%

Explanation:

The computation of the time-weighted return on your investment is given below

But before that we have to do the following calculations

Year 1 = ($46.50 - $42.50) + 2 ÷ ($42.50) × 100 = 14.12%

Year 2 = ($54.50 - $46.50) + 2 ÷ ($46.50) × 100 = 21.51%

Now the time weighted return is

(1 + t)^2 = (1 + 14.12%) × (1 + 21.51%)

= 1.1412 × 1.2151

= √1.3867 - 1

= 17.76%

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A centrally administered WAN network

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3 years ago
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Pressure with Two Liquids, Hg and Water. An open test tube at 293 K is filled at the bottom with 12.1 cm of Hg, and 5.6 cm of wa
Radda [10]

Answer:

1170839.28 dyn/cm^2

16.9816 psia

117.083928 kN/m^2

Explanation:

To calculate the absolute pressure in the bottom of tube we need to sum the atmosferic and gauge pressure.

P_{abs}=P_{atm}+P_G

And the gauge pressure is given by the contributions of columns of water (P_{w}) and mercury(P_{Hg}), we can calculate the contribution of each column as:

P= \rho g h (*)

where \rho is the respective density, g gravity and h is height.

So we have all the data required to use the above equations (P_{atm}, height and density of each column) we only need to be carefully with the units.

For simplicity we can to express all pressure contributions in mmHg ( P_{atm}, P_{w} and P_{Hg}). Note that the units "x" mmHg  means the pressure at the bottom of a column of mercury of "x" mm high. For example, in this case we have a column 12.1 cm of Hg, that is a column of 121 mmHg (passing from cm to mm only requires multiply by 10) pressure exerted by that column is 121 mmHg.

Now pressure of 5.6 cm (56 mm) of water would be 56 mm of water, but it is not the same that mmHg, since the density of water is lower, the pressure exerted by 1 mm of water is lower than the exerted by 1 mm of Hg. The conversion between mmHg and mm of water is given by the relation between the densities.

mmHg=\frac{\rho_w*mmH_2O}{\rho_{Hg}}

mmHg=\frac{0.998*mmH_2O}{13.55}=0.0737 mmH_2O

And pressure of water in mmHg is

0.0737*56=4.1246 mmHg

The absolute pressure is:

P_{abs}=P_{atm}+P_G= 756 + 121 + 4.1246  = 881.1246 mmHg = 88.11246cmHg

To pass to dyn/cm^2 units we need to use the equation (*)

P= \rho g h = 13.55 \frac{g}{cm^3} * 980.665 \frac{cm}{s^2} * 88.11246 cmHg = 1170839.28 \frac{g}{cm s^2} = 1170839.28 \frac{dyn}{cm^2}

Note: We need to use cm Hg for units coherence

Now passing from dyn/cm^2 to kN/m^2 (or kPa) we need to consider that 1 dyn is 10^{-8} kN and 1 cm^2 is 10^{-4} m^2.  

1170839.28 \frac{dyn}{cm^2} * \frac{10^{-8}kN}{1 dyn}*\frac{cm^2}{10^{-4}m^2}=117.083928kN/m^2

Now passing kN/m^2 to psia. We need to consider that 1 psia is 6.89476.

117.083928kN/m^2*\frac{1psia}{6.89476kN/m^2}=16.9816 psia

 

8 0
3 years ago
Video Planet (VP) sells a big screen TV package consisting of a 60-inch plasma TV, a universal remote, and on-site installation
Zolol [24]

Answer:

Tv = 1772

Remote = 144

Installation = 144

Explanation:

To calculate stand-alone selling price we need to calculate the percentage of Fair market value first and then allocate the Entire package price in the products according to the percentage of fair market value.

Percentage of the fair market value of each product

Product             Fair Value               Percentage

TV                         $1830                      86%    

Remote                 $140                        7%

Installation            $140                         7%

Total                      $2,110                      100%

Stand-alone selling price

Product            % of fair market value            Stand-alone selling price

TV                                    86%                                   1772

Remote                             7%                                     144

Installation                       7%                                      144

Total                               100%                                   2,060                              

7 0
3 years ago
Amy earns an annual salary of $40,000 working for the law office of smith and jones. calculate her gross pay per paycheck if she
Aloiza [94]
1,666 divide it by 12 then divide it by 2
3 0
3 years ago
g Vaughn Manufacturing purchased a new machine on October 1, 2022 at a cost of $124,800. The company estimated that the machine
Wittaler [7]

Answer:

Straight-line Depreciation Expense for 2022 and 2023 = $ 14,400, $ 14,400

Explanation:

Vaughn Manufacturing

Depreciation Straight Line Method= Cost - Salvage Value/ Useful Life

Depreciation Straight Line Method= $124,800-$9,600/8-years

Depreciation Straight Line Method=15,200/8= $ 14,400

The straight line depreciation expense does not change. It remains same for the next years as well.

Straight-line Depreciation Expense for 2022 and 2023 = $ 14,400, $ 14,400

5 0
3 years ago
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