1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Evgesh-ka [11]
3 years ago
15

On day t=0t=0t, equals, 0, the stock is at its average value of {\$}3.47$3.47dollar sign, 3, point, 47 per share, but 91.2591.25

91, point, 25 days later, its value is down to its minimum of \$1.97$1.97dollar sign, 1, point, 97.

Mathematics
1 answer:
Norma-Jean [14]3 years ago
6 0

Answer:

S(t) = a.sin (b.t) + d

a = -1.5, b = (2π/365), d = 3.47

S(t) = -1.5 sin (2πt/365) + 3.47

Step-by-step explanation:

Complete Question is presented in the attached image to this solution.

- Dingane has been observing a certain stock for the last few years and he sees that it can be modeled as a function S(t) of time t (in days) using a sinusoidal expression of the form

S(t) = a.sin(b.t) + d.

On day t = 0, the stock is at its average value of $3.47 per share, but 91.25 days later, its value is down to its minimum of $1.97.

Find S(t). t should be in radians.

S(t) =

Solution

S(t) = a.sin(b.t) + d.

At t = 0, S(t) = $3.47

S(0) = a.sin(b×0) + d = a.sin 0 + d = 3.47

Sin 0 = 0,

S(t=0) = d = 3.47.

At t = 91.25 days, S(t) = $1.97

But, it is given that T has to be in radians, for t to be in radians, the constant b has to convert t in days to radians.

Hence, b = (2π/365)

S(91.25) = 1.97 = a.sin(b×91.25) + d

d = 3.47 from the first expression

S(t = 91.25) = a.sin (91.25b) + 3.47 = 1.97

1.97 = a.sin (2π×91.25/365) + 3.47

1.97 = a sin (0.5π) + 3.47

Sin 0.5π = 1

1.97 = a + 3.47

a = -1.5

Hence,

S(t) = a.sin (b.t) + d

a = -1.5, b = (2π/365), d = 3.47

S(t) = -1.5 sin (2πt/365) + 3.47

Hope this Helps!!!

You might be interested in
Please Help 10 Points
shepuryov [24]

Answer:

-2x^2-6x-15

Step-by-step explanation:

3 0
3 years ago
A)Natalie has read 3/4 of a book that is 120 pages long. How many pages does she have left to read?
drek231 [11]
A) (1/4)*120=
B) 22.5 or 22 1/2
C)1/3*50=16.67
D)0.125
E)1/3*70=24.33
F)1/9
G)0.37
8 0
3 years ago
Read 2 more answers
A swimming pool is 30 ft long and 15 ft wide. How much water do you need to fill the pool if it is 6 ft deep? (Thanks?)
VMariaS [17]
Well the volume of the pool is 2700 ft
3 0
2 years ago
What is the square number of 13 27 81 21 43 48 23 39 45
Setler [38]

The given numbers are 13, 27, 81, 21,43, 48,23,39,45.

Square number is that number which is a perfect square means if you multiply a number by itself the number you obtained is a perfect square i.e it's square root is a natural number.

√13=not a natural number

√27=√3×√3×√3=3√3=irrational number

√81=√9×√9=9=a natural number

√21=not a natural number

√43=not a natural number

√48=4√3=not a natural number

√23=not a natural number

√39=not a natural number

√45=3√5=not a natural number

So, out of following numbers 13 27 81 21 43 48 23 39 45→81 is the only square number.

8 0
3 years ago
Read 2 more answers
PLZ HELP IT IS DUE TODAY AND WORTH 100 POINTS. PLEASE HELP I WILL BE SO GRATEFUL!!!! + BRAINLIEST
s344n2d4d5 [400]
Question 1snd 2 is not clear but this is the answers for 3,4,5 picture attached
3 0
2 years ago
Other questions:
  • Find f(x) and g(x) so that the function can be described as y = f(g(x)). <br><br> y = 7/sqrt 8x +10
    8·1 answer
  • Rami is sketching drawings for his friends. He creates 5 sketches each hour. Write a ratio, in lowest terms, that compares the n
    14·1 answer
  • The table shows the amounts of food collected by two homerooms. Homeroom A collects 21 additional items of food. How many more i
    6·1 answer
  • If the probabiliyt of nature 1 is 0.4 and the probability of nature 2 is 0.6, which alternative should be chosen?
    6·1 answer
  • I need help please will mark the brainliest
    8·1 answer
  • Which of these is also (always) a parallelogram? (Select all that apply.)
    12·2 answers
  • Please help me with the first half
    12·1 answer
  • A boat can travel 496 km on 124 liters of fuel. How much fuel will it need to go 84 km?
    5·1 answer
  • Round the number 42.763 to 1 decimal place
    8·2 answers
  • Find the area of the semicircle. Round your answer to the nearest whole number, if necessary.
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!