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3 years ago

The total-revenue test for elasticity:

Business

1 answer:

adoni [48]3 years ago

3 0

Answer:

Option (C) is correct.

Explanation:

The total revenue test is generally applicable to determine the demand for the product is elastic or inelastic.

This is due to the fact that there is a positive relationship between the price of the product and the quantity demanded for that product. This means that as the price of a product increases then as a result the quantity supplied of that product also increases and as the price of a product decreases then as a result the quantity supplied of that product also decreases.

There is no need to test the elasticity for supply of the products own company. Also, there is no need to test the capability or ability or willingness of its suppliers.

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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

You recently purchased a stock that is expected to earn 30 percent in a booming economy, 9 percent in a normal economy, and lose

sergiy2304 [10]

Took me a bit to understand what this is. I have no business sense at all.

Expected Rate of Return = 30%*5% + 9%*75% - 33% * (100 - 75 -5)%
Expected Rate of Return = 0.015 + 0.0675 - 33%*20%
Expected Rate of Return = 0.015 + 0.0675 - 0.066
Expected Rate of Return = 0.0165

This then is expressed as a %
0.0165 = 1.65 % Sounds like you are buying a US short term treasury.
If anyone else answers, take their answer.

3 0

3 years ago

You buy a lottery ticket to a lottery that costs $10 per ticket. there are only 100 tickets available to be sold in this lottery

zaharov [31]

You must look first for the probability of the 4 prizes which are $500, $100, $25, and no prize.
P ($500 prize) = 1/100 or 0.01
P ($100 prize) = 2/100 or 0.02
P ($25 prize) = 4/100 or 0.04
P (No prize) = 100/100 – 1+2+4/100 =93/100 .93

Expected gain or loss is computed by: (P(x)* n)

E= (500-10)*.01 + (100-10)*0.02 + (25-10)* 0.04 + (-10)*.93
= 4.90 + 1.80 + 0.6 – 9.3
E = -2

There is a loss of $2.

5 0

3 years ago

Al Miler, owner of Al's Garage, estimates that he will need $29,000 for new equipment in 15

Lynna [10]

Answer:

The answer is option A). $6,710.60

Explanation:

The total amount Al miler will need to invest at the beginning to have the money in 15 years is known as the principal amount.

The formula for calculating the total amount after 15 years with interest compounded semiannually is as follows;

A = P (1 + r/n) (nt)

where;

A = the future value of the initial investment

P = initial investment amount/principal amount

r = the annual interest rate

n = the number of times that interest is compounded per unit t

t = the time the money is invested for

In our case;

A=$29,000

P=p

r=10/100=0.1

n=interest is compounded semiannually which is twice a year=2

t=15 years

Replacing values in the formula;

29,000=p(1+0.1/2)^(2×15)

29,000=p(1+0.05)^30

29,000=4.322 p

p=29,000/4.322

p=$6,710

Al must invest $6,710 for him to have enough money for the new equipment in 15 years

5 0

3 years ago

Match each term to the correct defintion.

babymother [125]

Answer:

A = 2

B = 1

C = 3

D = 4

Explanation:

3 0

3 years ago