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jarptica [38.1K]
2 years ago
13

Average Price A stock analyst plots the price per share of a certain common stock as a function of time and finds that it can be

approximated by the function
S(t)=37+6e-0.03t,
where t is the time (in years) since the stock was purchased. Find the average price of the stock over the first six years.
Mathematics
1 answer:
mixer [17]2 years ago
8 0

Answer:

42.49 unit price

Step-by-step explanation:

The average price function, S(ave), will be an integral of the price function over the period of time (6 years), that is

S(ave) = 1/6*\int\limits^6_0 {S(t)} \, dt

= 1/6*\int\limits^6_0 {37+6e^-0.03t} \, dt

Solving the integral, we have

S(ave) = 1/6*(37t - (6e^-0.03t)/0.03) with the limits being from t = 0 to t = 6

Hence, we have

S(ave) = 37 - \frac{200}{6}*(e^(-0.03*6) - 1)

This resolves to 42.49 unit price

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01 L1 - Perimeter Word Problems
stich3 [128]

Answer: x*(x-5)

Step-by-step explanation:

Plexiglass is a cuboid

which means that the area would be l*w

in the question it states that the width is 5 cm shorter than the length

since we dont know the values

we represent them as x

so using l*w

we write x*(x-5)

5 0
2 years ago
Marcia has two credit cards and would like to consolidate the two balances into one balance on the card with the lower interest
swat32
Given:
Card A - 1,879.58 ; APR 14%; monthly -43.73
Card B -    861.00 ; APR 10% ; monthly -18.29

5 years x 12 months/yr = 60 months.

Card A = 43.73 x 60 = 2,623.80
Card B = 18.29 x 60 = 1,097.40
Total : 2,623.80 + 1,097.40 = 3,721.20

Lowest APR is 10%. monthly rate: 0.83%
Total Card balance: 1,879.58 + 861 = 2,740.58

A = P * (r(1+r)^n) / [(1+r)^n -1]
A = 2,740.58 * [0.0083 (1.0083)^60] / [(1.0083)^60 - 1]
A = 2,740.58 * 0.014/0.64
A = 2,740.58 * 0.022
A = 60.29 monthly payment.

60.29 x 60 = 3,617.40

Separate cards: 3,721.20
Consolidated:     3,617.40
Difference: 103.80

The closest among the choices is Choice C. 105.  Difference in amount may vary in the rounding off of the decimal numbers.
7 0
2 years ago
Read 2 more answers
Greta is taking a road trip from Cincinnati to San Francisco. On the first day, she drove 650 miles in 10 hours. On the second d
abruzzese [7]

Given:

On the first day, she drove 650 miles in 10 hours.

On the second day, she got a later start and drove 540 miles in 8 hours.

To find:

Difference between average speed of second day and first day.

Solution:

We know that,

Speed=\dfrac{Distance}{Time}

On the first day, she drove 650 miles in 10 hours.  So, the average speed is

Speed=\dfrac{650}{10}

Speed=65

So, the average speed on first day is 65 miles per hour.

On the second day, she got a later start and drove 540 miles in 8 hours.

Speed=\dfrac{540}{8}

Speed=67.5

So, the average speed on second day is 67.5 miles per hour.

Difference between average speed is

67.5-65=2.5

Therefore, the average speed on the second day is 2.5 miles per hour is faster than first day.

3 0
1 year ago
Which products result in a difference of squares? Select three options. A. (x minus y)(y minus x) B. (6 minus y)(6 minus y) C. (
solniwko [45]

Answer:

Step-by-step explanation:

Hello, please consider the following.

A. (x minus y)(y minus x)

  (x-y)(y-x)=-(x-y)(x-y)=-(x-y)^2

   This is not a difference of squares.

B. (6 minus y)(6 minus y)

   (6-y)(6-y)=(6-y)^2

   This is not a difference of squares.

C. (3 + x z)(negative 3 + x z)

   This is a difference of squares.

   \boxed{(3+xz)(-3+xz)=(xz+3)(xz-3)=(xz)^2-3^2}

D. (y squared minus x y)(y squared + x y)

   This is a difference of squares.

   \boxed{(y^2-xy)(y^2+xy)=(y^2)^2-(xy)^2}

E. (64 y squared + x squared)(negative x squared + 64 y squared)

   This is a difference of squares.

   \boxed{(64y^2+x^2)(-x^2+64y^2)=(64y^2+x^2)(64y^2-x^2)=(64y^2)^2-(x^2)^2}

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

6 0
2 years ago
Read 2 more answers
The newspaper in Haventown had a circulation of 80,000 papers in the year 2000. In 2010, the circulation was 50,000. With x = 0
mixas84 [53]
-3000 is correct
Hope this helps :D
7 0
2 years ago
Read 2 more answers
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