Appropriations to retained earnings are.. It is not option C.

One of the questions in the Pew Internet & American Life Project asked adults if they used the Internet at least occasionall

g100num [7]

Answer:

Explanation:

S/N Age range Adult Population Population Internet Users

A 18 - 29 478 454

B 30 - 49 833 741

C 50 and above 1644 1058

Total 2955 2253

a) Let E = Estimate proportion and A = Internet users

Hence, n(E) = 478 and n(A) = 454

∴ Probability of Internet users (18 - 29), P(A) = n(A)/n(E) = 454/478 = 0.9498 (94.98%)

b) n(E) = 833 and n(B) = 741

∴ Probability of Internet users (30 - 49), P(B) = n(A)/n(E) = 741/833 = 0.8896 (88.96%)

c) n(E) = 1644 and n(C) = 1058

∴ Probability of Internet users (50 and above), P(C) = n(C)/n(E) = 1058/1644 = 0.6436 (64.36%)

d) Let Et = Total estimate proportion

Hence, n(Et) = 2955 and n(A) = 454

∴ Probability of 18 - 29 age range using Internet overall Pt(A) = n(A)/n(Et) = 454/2955 = 0.1536 (15.36%)

4 0

4 years ago

P company acquired 100% of the outstanding common stock of S company for $ 2,300,000 cash and 10,000 shares of its common stock(

nirvana33 [79]

What are the answers?

3 0

4 years ago

For many years futura company has purchased the starters that it installs in its standard line of farm tractors. due to a reduct

seraphim [82]

Answer:

By producing the starters the company will save $20,000 per year.

Explanation:

production costs

direct materials $3.10 per unit

direct labor $2.70 per unit

supervision $60,000

depreciation $40,000

variable manufacturing overhead $0.60 per unit

rent $12,000

total production cost $9.20 per unit

The engineer is wrong because he is considering fixed costs like depreciation and rent that should not be included because they are independent on whether this project is approved or not. Once you take away depreciation and rent, the cost per unit will fall by $1.30 [= ($40,000 + $12,000) / 40,000 units].

Since the production cost = $9.20 - $1.30 = $7.90, which is lower than $8.40 which is the purchase cost, the company should start producing the starters at least until its sales bonce back.

By producing the starters the company will save ($8.40 - $7.90) x 40,000 units = $20,000 per year

7 0

4 years ago

When interest is compounded continuously, the amount of money increases at a rate proportional to the amount S present at time t

liubo4ka [24]

Answer:

a) - r=5%: $S=$ 5,136.10$

- r=4%: $S=$ 4,885.61$

- r=3%: $S=$ 4,647.34$

b) - r=5%: t=14 years

- r=4%: t=17 years [/tex]

- r=3%: t=23 years [/tex]

c) The amount obtained is

- Compuonded quarterly: $5,191.83

- Compuonded continously: $5,200.71

The latter is always greater, since the more often it is capitalized, the greater the effect of compound interest and the greater the capital that ends up accumulating.

Explanation:

The rate of accumulation of money is

$dS/dt=rS$

To calculate the amount of money accumulted in a period, we have to rearrange and integrate:

$\int dS/S=\int rdt=r \int dt\\\\ln(S)=C*r*t\\\\S=C*e^{rt}$

When t=0, S=S₀ (the initial capital).

$S=S_0=Ce^{r*0}=Ce^0=C\\\\C=S_0$

Now we have the equation for the capital in function of time:

$S=S_0e^{rt}$

a) For an initial capital of $4000 and for a period of five years, the amount of capital accumulated for this interest rates is:

- r=5%: $S=4000e^{0.05*5}=4000*e^{0.25}= 5,136.10$

- r=4%: $S=4000e^{0.04*5}=4000*e^{0.20}= 4,885.61$

- r=3%: $S=4000e^{0.03*5}=4000*e^{0.15}= 4,647.34$

b) We can express this as

$S=S_0e^{rt}\\\\2S_0=S_0e^{rt}\\\\2=e^{rt}\\\\ln(2)=rt\\\\t=ln(2)/r$

- r=5%: $t=ln(2)/0.05=14$

- r=4%: $t=ln(2)/0.04=17$

- r=3%: $t=ln(2)/0.03= 23$

c) When the interest is compuonded quarterly, the anual period is divided by 4. In 5 years, there are 4*5=20 periods of capitalization. The annual rate r=0.0525 to calculate the interest is also divided by 4:

$S = 4000 (1+(1/4)(0.0525))^{5*4}=4000(1.013125)^{20}\\\\S=4000*1.297958= 5,191.83$

If compuonded continously, we have:

$S=S_0e^{rt}=4000*e^{0.0525*5}=4000*1.3= 5,200.71$

The amount obtained is

- Compuonded quarterly: $5,191.83

- Compuonded continously: $5,200.71

The latter is always greater, since the more often it is capitalized, the greater the effect of compound interest and the greater the capital that ends up accumulating.

5 0

4 years ago

Sweet Sue Foods has bonds outstanding with a coupon rate of 5.50 percent paid semiannually and sell for $1,917.12. The bonds hav

Darina [25.2K]

Answer:

Current yield=5.74%

Explanation:

Calculation for the current yield for these bonds

Current yield = (.055× $2,000)/$1,917.12

Current yield =$110/$1,917.12

Current yield=0.0574*100

Current yield=5.74%

Therefore the current yield for these bonds will be 5.74%

7 0

3 years ago

Appropriations to retained earnings are..It is not option C.