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marshall27 [118]
3 years ago
10

A stock market analyst observes the following for the price of two stocks that he owns, one of which is increasing at an exponen

tial rate (geometric) and the other is increasing in a linear fashion (arithmetic).
Stock A: Equation: an = 15n + 143, where an is the value of the stock and n is the number of years.


Year Price
1 $158.00
2 $173.00
3 $188.00
4 $203.00
5 $218.00


Stock B: Equation: an = 24(1.1)n − 1, where an is the value of the stock and n is the number of years.

Year Price
1 $24.00
2 $26.40
3 $29.04
4 $31.94
5 $35.14


Assuming these stock values continue to increase in the same manner until retirement, which stock option is worth more in 50 years and how much more is this stock worth per share?

HELPPPPPP 100 POINTS PLEASE
Mathematics
1 answer:
Alenkasestr [34]3 years ago
4 0

Answer:

Use the formulas and find 5th term of both and compare

<u>Stock A</u>

  • a₅₀ = 15(50) + 143 = $893

<u>Stock B</u>

  • a₅₀ = 24(1.1)⁴⁹ = $2561.25

<u>As we see Stock B share has greater value in 50 years and the difference is:</u>

  • $2561.25 - $893 = $1668.25
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Express the series using sigma notation. 6 + 9 + 12 + 15.<br><br> a<br> b<br> c<br> d
Nadusha1986 [10]

Answer:

Option (d) is correct.

6 + 9 + 12 +15 = \sum_{k=1}^{4}(3k+3)

Step-by-step explanation:

Consider the given series expansion 6 + 9 + 12 +15.

since we have to write in series form of 3.

We first write each term of given series in term of 3k or 3k+3

6 can be written as 3(2) or 3(1)+3

9 can be written as 3(3) or 3(2)+3

12 can be written as 3(4) or 3(3)+3

15 can be written as 3(5) or 3(4)+3

Thus, we can write the given series as ,

\sum_{k=2}^{5}3k or  \sum_{k=1}^{4}(3k+3)

Since, we have options to choose.

From the given option (d) matches our result.

So,  6 + 9 + 12 +15 = \sum_{k=1}^{4}(3k+3)


5 0
3 years ago
Read 2 more answers
A jar of 150 jelly beans contains 22 red jelly beans, 38 yellow, 20 green, 28 purple, 26 blue, and the rest are orange.Let B = t
pentagon [3]

Answer:

P(R\ and\ B) = 0.0256

Step-by-step explanation:

Given

Red = 22

Yellow = 38

Green = 20

Purple = 28

Blue = 26

Orange = 16

Required

Determine the probability of red then blue jelly? i.e. P(R and B)

From the question, we understand that the red jelly bean was not replaced. This means that the number of jelly beans reduced by 1 after the picking of the red jelly bean

So, we have:

P(R\ and\ B) = P(R)\ and\ P(B)

This is then solved further as:

P(R\ and\ B) = P(R)\ *\ P(B)

P(R\ and\ B) = \frac{n(R)}{Total}\ *\frac{n(B)}{Total - 1}

The probability has a denominator of Total - 1 because the number of jelly beans reduced by 1 after the picking of the red jelly bean

The equation becomes:

P(R\ and\ B) = \frac{22}{150}\ *\frac{26}{150- 1}

P(R\ and\ B) = \frac{22}{150}\ *\frac{26}{149}

P(R\ and\ B) = \frac{22*26}{150*149}

P(R\ and\ B) = \frac{572}{22350}

P(R\ and\ B) = 0.02559284116

P(R\ and\ B) = 0.0256

3 0
3 years ago
One car traveled 248 and drove 5 mph slower than a second car which drove 268m / (les) . the cars were traveling for the same ,
Katyanochek1 [597]

Answer:

The first car is traveling at a speed of

s1=62 mi/hr.

The second car is traveling at a speed of s2=67 mi/hr.

Step-by-step explanation:

Let t be the amount of time the cars are traveling

s1=248/t and s2=268/t

We are told:

s1=s2-5

That is

248/t=268/t-5

⇒248=268- 5t

⇒5t=20

⇒t=4

s1=248/4=62

s2=268/4=67

4 0
3 years ago
If Gigi and Bella combined their weekly pay they would make $55.
Anastasy [175]
Answer:Gigi’s weekly pay is $30
Bella’s weekly pay is $25

Step 1 Guess:25
Step 2 Add:25+25=50 50+5=55
Step 3 Check:30+25=55
3 0
3 years ago
Find the value of 3x + 2 when 7+ x = 5
Sloan [31]
I hope this helps you




x= 5-7


x= -2


3.(-2)+2


-6+2


-4
4 0
3 years ago
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