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Alla [95]
3 years ago
11

A stock is selling today for $40 per share. At the end of the year, it pays a dividend of $2 per share and sells for $44. a. Wha

t is the total rate of return on the stock?
Business
1 answer:
morpeh [17]3 years ago
3 0

Answer:

The total rate of return on the stock is 14%.

Explanation:

The sources of income from a stock are dividends and increase in its value. Therefore, the total rate of return on stock is calculated by dividing the addition of appreciation in the of the stock and dividends paid by the original stock price.

Therefore, the total rate of return on the stock can be calculated using the following formula:

Total rate of return = [(P1 - Po) + D] / Po .......................... (1)

Where;

P1 = Ending stock price = $44

Po = Initial stock price = $40

D = Dividend paid = $2

Substituting the values into equation (1), we have:

Total rate of return = [(44 - 40) + 2] / 44

Total rate of return = [4 + 2] / 44

Total rate of return = 6 / 44

Total rate of return = 0.14, or 14%

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5. A man has $ 10,000 to invest. He invests $ 4000 at 5 % and $ 3500 at 4 %. In order to have a yearly income of $ 500, he must
Len [333]
6.4%

200 from the 5% of 4000
140 from 4% on 3500

160 on 6.4% on 2500
4 0
2 years ago
Read 2 more answers
The following data values represent the daily amount spent by a family during a summer vacation. find the sample standard deviat
Mama L [17]

The sample standard deviation of this dataset is =19.1.

The Standard deviation is a degree of the amount of variant or dispersion of a set of values. A low widespread deviation indicates that the values tend to be near the mean of the set, at the same time as a high widespread deviation indicates that the values are spread out over a much wider variety.

x x- \bar x=x-101 (x-ˉx)2

96     -5                          25

125     24                        576

80     -21                     441

110     9                          81

75    -26                   676

100      -1                         1

121        20                    400

∑x=707 ∑(x-\bar x)=0 ∑(x-\bar x)2=2200

Mean \bar x =∑x/n

=96+125+80+110+75+100+121/7

=707/7

=101

Sample  standard deviation S=√∑(x-\bar x)2/n-1

=√2200/6

=√366.6667

=19.1

Learn more about standard deviation here:-brainly.com/question/475676

#SPJ4

4 0
1 year ago
A business rents bicycles and in-line skates. Bicycle rentals cost $25 per day, and in-line skate rentals cost $20 per day. The
Alja [10]

Answer:

a.

25 b+20 s=455...equation 1

b+s=20...equation 2, where b and s are the number of bicycle and in-line skate rentals per day.

b. The business had 11 bicycle rentals and 9 in-line skate rentals.

Explanation:

a.

<em>Step 1: Determine an equation for total revenue today</em>

Since the business rents bicycles and in-line skates, the total revenue will be as a result of amount received in revenue from renting the bicycles and in-line skates. This can be expressed as shown;

T=(B×b)+(S×s)

where;

T=total revenue

B=bicycle rental cost per day

b=number of bicycles

S=in-line skate rental cost per day

s=number of in-line skates

In our case;

T=$455

B=$25 per day

b=unknown

S=$20 per day

s=unknown

Replacing;

(25×b)+(20×s)=455

25 b+20 s=455...equation 1

<em>Step 2: Determine an equation for total rentals today</em>

The equation for the total number of rentals is;

R=b+s

where;

R=total number of rentals today

b=number of bicycles

s=number of in-line skates

In our case;

R=20

b=unknown

s=unknown

Replacing;

b+s=20...equation 2

b.

<em>Step 3: Combine equation 1 and 2 ans solve simultaneously</em>

1(25 b+20 s=455), multiplying equation 1 by 1=25 b+20 s=455

     20(b+s=20), multiply equation 2 by 20=20 b+20 s=400

25 b+20 s=455

-

20 b+20 s=400

5 b+0 s=55

(5 b)/5=55/5=11

b=11, replace the value for b in equation 2 and solve;

(20×11)+20 s=400

220+20 s=400

20 s=400-220=180

20 s=180

s=(180/20)=9

The business had 11 bicycle rentals and 9 in-line skate rentals.

8 0
3 years ago
In its first 10 years a mutual fund produced an average annual return of 20.4420.44​%. Assume that money invested in this fund c
mr Goodwill [35]

Answer:

3.73 years or 4 years approx

Explanation:

The computation of the number of years taken for money invested for double is shown below:

As we know that

Amount = Principal × (1 + interest rate ÷ time period)^interest rate × time period

where,

We assume the principal be P

And, the amount is 2P

And, the other values would remain the same

So,

2P = P (1 + 0.2044 ÷ time period)^ 1  × time period

2 = (1.2044)^ time period

Now take the log both sides

ln2 = ln (1.2044)^time period

ln2 - time period ln (1.2044)

So,

time period = ln(2) ÷ ln (1.2044)

= 3.73 years or 4 years approx

3 0
3 years ago
you are a trust fund baby, but you cannot touch your money until you are 30. you are now 21 and want to plan for your future bas
meriva

Answer:

Explanation:

30 - 21 = 9 years

r = 3% inflation

FV = 25,000

We know that FV = PV(1+r)^n

25,000 = PV(1+0.03)^9

PV = 25,000/ 1.3047731

PV = 19,160.42, this is how much it worth today

6 0
3 years ago
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