Solution:
Denote the investment in the 9% scheme as x and in the 13% scheme as y.
x + y = 180000 --equation 1
0.09x + 0.13y = 18000 --equation 2
To balance the equations, multiply equation 1 by 0.09 and equation 2 by 1,
0.09x + 0.09y = 16200 -equation 3
0.09x + 0.13y = 18000 --equation 4
By subtracting equation 4 from equation 3,
-0.04y = -1800
y = 45000
Now substituting y's value back into equation 1,
x + 45000 = 180000
x = 135000
The investment for the 9% scheme = $135,000
The investment for the 13% scheme = $45,000
Response:
The details are as follows
Clarification:
Ensuring safety is a crucial component in factories to prevent accidents and injuries. The occurrence of such incidents is influenced by the factory type and the safety protocols in place. Hence, it is essential for all staff members to be well-versed in safety practices at work. Different roles within the organization necessitate distinct safety training materials tailored to varying employee levels.
Personnel in administrative and support roles are not engaged in the production process, hence they need to be informed about fundamental safety measures like fire prevention.
Workers operating specific machinery require dedicated guidelines on machine operations and associated safety precautions.
Support staff such as Peons and watchmen also need specialized safety training to minimize risks and accidents.
There are several management roles, including Production Manager, Finance Manager, HR Manager, and Marketing Manager. Since production areas see a higher frequency of accidents, the Production Manager necessitates more comprehensive training materials.
La empresa de contratación de defensa utiliza sus recursos financieros para adquirir instancias de EC2. Estas instancias reservadas tienen un periodo de uso de entre uno y tres años.
Si el programa es cancelado por alguna razón, la compañía tiene la opción de arrendar la instancia adquirida a otra empresa, generando ingresos anuales mediante este alquiler.
Esto permitirá recuperar el costo no recuperable y generar ingresos con la instancia reservada de EC2.
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Answer:
P14 = $55.69545045394 rounded to $55.70
Explanation:
The dividend discount model (DDM) based on constant growth can help determine the current stock price. It assesses a stock’s price using the present value of the anticipated future dividends. The formula for determining today's price with a constant growth DDM is,
P0 = D1 / (r - g)
Where,
- D1 represents the expected dividend for Year 1 or the following year
- g denotes the constant growth rate for dividends
- r signifies the discount rate or the required rate of return
To find the stock price today, we will utilize the dividend expected in Year 1. Consequently, to compute the stock price 14 years into the future, we calculate D15. D15 can be figured out as follows,
D15 = D1 * (1+g)^14
D15 = 0.50 * (1+0.09)^14
D15 = $1.67086351362 rounded to $1.67
Now applying the DDM formula for the price,
P14 = 1.67086351362 / (0.12 - 0.09)
P14 = $55.69545045394 rounded to $55.70
