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Yuliya22 [10]
2 years ago
8

A company's current stock price is $50.00 and its most recent dividend was $2.00 per share. Since analysts estimate the company

will have a 5 percent growth rate, what is its expected return?
Mathematics
1 answer:
4vir4ik [10]2 years ago
6 0

Answer:

Expected rate of return  =7.1% (Approx.)

Step-by-step explanation:

Given:

Current stock price = $50

Divided d = $2

Growth rate g = 5 %

Find:

Expected rate of return

Computation:

Expected rate of return = D(1+g)/Current Price + g

Expected rate of return = [2(1+5%)/50] + 5%

Expected rate of return  =7.1% (Approx.)

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(2.99548) x (1.8342)
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5.49430941

Step-by-step explanation:

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Find the quotient 3/4÷1 1/10
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a gift shop sells 160 wind chimes per month at $150 each. the owners estimate that for each $15 increase in price, they will sel
adell [148]

Answer:

The price per wind chime that will maximize revenue = $ 315

Step-by-step explanation:

Given - A gift shop sells 160 wind chimes per month at $150 each. the owners estimate that for each $15 increase in price, they will sell 5 fewer wind chimes per month.

To find - Find the price per wind chime that will maximize revenue.

Proof -

Given that,

Total Wind chimes selling = 160

Price of each Wind chime = $150

Now,

Given that, for each $15 increase in price, they will sell 5 fewer wind chimes per month.

So,

Let the price = 150 + 15x

So,

Number of wind Chimes sold per month = 160 - 5x

So,

Total Revenue, R = (150 + 15x)(160 - 5x)

                             = 24000 - 750x + 2400x - 75x²

                             = 24000 + 1650x - 75x²

⇒R(x) = 24000 + 1650x - 75x²

Differentiate R with respect to x , we get

R'(x) = 1650 - 150x

Now,

For Maximize Revenue, Put R'(x) = 0

⇒1650 - 150x = 0

⇒150x = 1650

⇒x = 1650/150

⇒x = 11

∴ we get

Price per Wind chime = $ 150 + 15(11)

                                    = $ 150 + 165

                                    = $ 315

So,

The price per wind chime that will maximize revenue = $ 315

3 0
2 years ago
if the class charges $15 per ticket write an equation that could be used to determine the number of tickets the class would need
OverLord2011 [107]

t = number of tickets

15t ≥ 1500

so....

step 1. 15t ≥ 1500 --> divide both sides by 15 --> 15t/15 ≥ 1500/15

step 2. t ≥ 100


So 100 at the least, ticket should be sold to reach atleast $1500.


I hope this helps. :)



5 0
3 years ago
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