Which type of writing is best for business letters?

General Importers announced that it will pay a dividend of $4.25 per share one year from today. After that, the company expects

bazaltina [42]

Answer:

$12.93

Explanation:

First , find the dividend amount per year;

D1 = 4.25

D2,D3,D4,D5, D6 = 0

D3 = 2.2020(1.024) = 2.2548

D7 onwards = 2.35

Next, find the present value of the dividends at 12.6%;

PV (of D1) = 4.25/ 1.126 = 3.7744

PV (of D2 to D6) = 0

PV (of D7 onwards) today = (2.35/0.126) /(1.126^6)

PV (of D7 onwards) today = 18.6508 / 2.0381 = 9.1511

Add the PVs to find price of stock;

= 3.7744 + 0 + 9.1511

= $12.93

5 0

3 years ago

Resolve (7x+19)/(x+1)(x+5) into partial fraction

Volgvan

Answer:

$\dfrac{7x+19}{(x+1)(x+5)}=\dfrac{3}{x+1}+\dfrac{4}{x+5}$

Explanation:

The given expression is

$\dfrac{7x+19}{(x+1)(x+5)}$

We need to resolve this into partial fraction.

The form of the partial fraction decomposition is

$\dfrac{7x+19}{(x+1)(x+5)}=\dfrac{A}{x+1}+\dfrac{B}{x+5}$ ...(1)

$\dfrac{7x+19}{(x+1)(x+5)}=\dfrac{A(x+5)+B(x+1)}{(x+1)(x+5)}$

$7x+19=Ax+5A+Bx+B$

$7x+19=(A+B)x+(5A+B)$

On comparing both sides, we get

$A+B=7$ ...(2)

$5A+B=19$ ...(3)

Subtract (2) from (3), we get

$4A=12$

$A=3$

Put A=3 in (1).

$3+B=7$

$B=4$

Put A=3 and B=4 in (1).

$\dfrac{7x+19}{(x+1)(x+5)}=\dfrac{3}{x+1}+\dfrac{4}{x+5}$

Therefore, $\dfrac{7x+19}{(x+1)(x+5)}=\dfrac{3}{x+1}+\dfrac{4}{x+5}$ .

5 0

3 years ago

Tommy is able to depreciate the value of machinery as part of his income tax return. If he has a tractor valued at $50,000 that

Rom4ik [11]

Answer:$26,386.60

Explanation: According to the question above, Tommy is able to depreciate his tractor valued at $50,000 with depreciation rate of 12% per year.

Cost is $50,000

depreciation rate is 12% per annum

First year= 50,[email protected]% = 50,000-6000= 44,000

Second year = 44,[email protected]% = 44,000-5280=38,720

Third year = 38,720 @ 12% = 38,720 - 4646.40 = 34,073.60

Forth year = 34,073.60 @ 12% = 34,073.60-4088.83 =29,984.77

Fifth year= 29,984.77 @12%= 29984.77 - 3,598.17=26,386.60

The value of the Tractor in five years is $26,386.60

6 0

3 years ago

Robert must send an e-mail message to a client in Turkey. He is carefully selecting his words to ensure that his Turkish client,

Anastaziya [24]

Answer:

Message encoding.

Explanation:

Communication can be defined as the process of conveying information from one person or location to another. Communication can also be described as the transmission of messages through signs, pictorial representation, verbal means.

Encoding can be defined as the process in which an idea is transformed in a communicable message and then transmitted through various channels such as television, radio, internet.

Message encoding involves sending messages to the receiver in comprehensible words.

3 0

3 years ago

It costs $3000 to reserve a room, hire an instructor, and bring in the equipment. Assume it costs $25 per student for the admini

Anastaziya [24]

Answer:

&175

Explanation:

Breakeven price is the minimum price a product or service must be sold to cover the cost of producing it. Its aim is to ensure that items are not sold at a loss.

In the scenario given ,

Cost of room reservation = $3000

Cost of room / student = $3000/20 = $150

Course materials per student = $25

Total cost of course materials = $25 * 20 =$500

Total cost of training = $3,500

Target attendees = 20

Breakeven price = $3500/20 = $175

8 0

3 years ago