What is the definition of organization ? Briefly explain each part of the definition?

a boy is three years younger than his sister. two years ago he was two-thirds of his sister's age. what are their present ages

padilas [110]

Answer:

The boy: 8 years old

The sister: 11 years old

Explanation:

We assume that the age at present of the boy is x (years old).

As he is younger than his sister 3 years, so that his sister's present age is great than x 3 years

=> Her present age is: x + 3 (years old)

Two years ago, the boy is younger than present two years

=> The boy's age two years ago is: x - 2 (years old)

Similarly, the sister's age two years ago is: (x+3)-2 = x + 1 (years old)

As given, two years ago he was two-thirds of his sister's age, so that we have:

<em>The boy's age two years ago = </em> $\frac{2}{3}$ <em> × the sister's age two years ago</em>

⇒ $x - 2 = \frac{2}{3}(x+1)$

⇒ $x - 2 = \frac{2}{3}x + \frac{2}{3}$

⇒ $x - \frac{2}{3}x = \frac{2}{3} + 2$

⇒ $\frac{1}{3} x = \frac{8}{3}$

⇒ $x = \frac{8}{3}. 3 = 8$

=> x + 3 = 8 + 3 = 11

So the present age of the boy is 8 years old, of the sister is 11 years old

5 0

3 years ago

Hybrid cars are touted as a "green" alternative; however,the financial aspects of hybrid ownership are not as clear. Consider th

lord [1]

Answer:

a)

the hybrid model initially costs $5,200 more than the regular model, plus you have another $330 in extra ownership costs per year. If you plan to own the hybrid car for 6 years, then you must recoup $5,200 / 6 = $866.67 + $330 = $1,196.67 per year.

the cost of driving 1 mile with the hybrid car = $3.60 / 27 = $0.1333

the cost of driving 1 mile with the regular model = $3.60 / 19 = $0.1895

you will save = $0.0562 per mile driven

you would need to drive $1,196.67 / $0.0562 = 21,293 miles per year to make the decision worth it

b)

if you only drive 15,500 miles per year, then you would need to save $0.0772 per mile

that would only result if gasoline's price was:

x/19 - x/27 = 0.0772

0.0526x - 0.037x = 0.0772

0.0156x = 0.0772

x = 0.0772 / 0.0156 = $4.95 per gallon

c)

you must first determine the present value of all additional expenses related to purchasing a hybrid:

year cash flow

0 -5,200

1 -330

2 -330

3 -330

4 -330

5 -330

6 -330

Using a financial calculator, the PV = -$6,637.24

now we must use an annuity formula to determine the annual savings required using a 10% discount rate and 6 periods:

annual savings = $6,637.24 / 4.3553 (PV annuity factor, 10%, 6 periods) = $1,523.95

so you must save $1,523.95 per year and that is equivalent to $1,523.95 / $0.0562 = 27,116.47 = 27,116 miles

d)

you also need to save $1,523.95, but you only drive 15,500 miles, so the savings per mile = $0.0983

x/19 - x/27 = 0.0983

0.0526x - 0.037x = 0.0983

0.0156x = 0.0983

x = 0.0983 / 0.0156 = $6.30 per gallon

5 0

2 years ago

If you calculate the cost of attendance (COA) at an institute of higher

lutik1710 [3]

The answer is tuition fees, room and board, books, supplies and other expenses.

6 0

2 years ago

Bargeron corporation has a target capital structure of 64 percent common stock, 9 percent preferred stock, and 27 percent debt.

dalvyx [7]

a.

WACC is calculated as –

WACC = (Weight of common stock X Cost of common stock) + (Weight of preferred stock X Cost of preferred stock) + (Weight of debt X After tax cost of debt)

WACC = (64% X 13.4%) + (9% X 6.4%) + (27% X ((1- 40%)*8.1%))

WACC = 10.46%

b. After tax cost of debt is calculated as –

After tax cost of debt = (1- tax rate) X cost of debt pre-tax

After tax cost of debt = ((1- 40%)*8.1%))

After tax cost of debt = 4.86%

6 0

3 years ago

Suppose the demand for good x is lnqxd = 21 - .8lnpx - 1.6lnpy + 6.2lnm + .4lnax. then we know that the own-price elasticity for

serg [7]

Answer: Inelastic

Explanation:

The coefficients in a log-log model represent the elasticity of your dependent variable with respect to your independent variable. In other words, the coefficient in a log-log demand model is the estimated percent change in $Q_{xd}$ with respect to a percentage change in the independent variables like $P_{x}$ , $P_{y}$ , M, $A_{x}$ , etc.

Thus, coefficient of $P_{x}$ represents the elasticity of demand for good X with respect to Price of good x. So, Own-price elasticity of good x is 0.8.

Since this is less than 1 the good is relatively inelastic.

5 0

2 years ago

What is the definition of organization ? Briefly explain each part of the definition?​

What is the definition of organization ? Briefly explain each part of the definition?