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kaheart [24]
3 years ago
6

Landon bought 4 pounds of walnuts for $10.92. What is the constant of proportionality that relates the cost in dollars, y, to th

e number of pounds of walnuts, x?
Mathematics
1 answer:
Lunna [17]3 years ago
6 0

Step-by-step explanation:

The constant of proportionality is the ratio of the cost to the number of pounds of walnuts.  In other words, it is the price of one pound of walnuts.

$10.92 / 4 lb = $2.73 / lb

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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
Norma-Jean [14]

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!!!

6 0
3 years ago
Maria's dinner bill is $21.89 after tax. If she wants to leave a15% tip, what will the total cost of the dinner be?a. $24.22b. $
Ne4ueva [31]
Maria's dinner bill is $21.89 after tax. If she wants to leave a15% tip, what will the total cost of the dinner be?a. $24.22b. $3.28c. $18.61d. $25.17

Pls answer quick!
5 0
3 years ago
Read 2 more answers
I need this problem solved real quick
PIT_PIT [208]

<u>Let's take this problem step-by-step</u>:

<u>The ;unlabeled angle' adjacent to the 'outside angle of measure 78°'</u>

  ⇒ is on a straight line

     ⇒ sum of angle measure = 180 degrees

       unlabeled_.angle+78 = 180\\unlabeled_.angle = 102

<u>Now we know:</u>

 ⇒ sum of all angles in a triangle ⇒ 180°

<u>Let's put that in equation form and solve:</u>

  x + 102 + 57=180\\x + 159=180\\x = 21

<u>Answer: 21°</u>

<u></u>

Hope that helps!

#LearnwithBrainly

8 0
2 years ago
Erin needs to save a total of $150, she already has $80. What is the fewest number of hours she will need to work if she earns $
harkovskaia [24]
80 divided by 15 Is =5.333333 which I don’t know how to round it but it would be around 5 at least
8 0
3 years ago
Which point gives the vertex of ƒ(x) = –x2 + 4x – 3?
Dmitriy789 [7]

Answer:

The vertex is (2,1)

Step-by-step explanation:

ƒ(x) = –x^2 + 4x – 3

Factor out the negative

   = -(x^2 -4x+3)

 Factor

What 2 numbers multiply to +3 and add to -4

-3*-1 = 3

-3+-1 = -4

f(x) =  -( x-3)(x-1)

Find the zeros

0 = -( x-3)(x-1)

0 = x-3   0 = x-1

x=3            x=1

The x value of the vertex is 1/2 way between the two zeros

(3+1)/2 = 4/2 =2

To find the y value, substitute x=2 in

f(2) =  -( 2-3)(2-1)

       =-(-1)(1) = 1

The vertex is (2,1)

4 0
3 years ago
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