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Gemiola [76]
3 years ago
8

The Yert family hires a landscaping company for 30 weeks. There are two companies to choose from. Green Lawns charges 1 for the

first time they service your lawn, and the price will multiply by a factor of 0.90 every week thereafter. Green Thumbs charges 400 for the first time they service your lawn, and then charges an additional 45 every week thereafter. At 30 weeks, if the Yert family chooses the company that is cheaper, how much money will they save?
Mathematics
1 answer:
zhuklara [117]3 years ago
6 0
Do you need help or u just wanted the answer
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Carlos gets in a taxi that charges.20 per mile and initial charge of $1.00. Write an expression that Carlos could use to help hi
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What is the equation of a circle with center (-7, -3) and radius 2?
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4 years ago
1.The table provides various values, including all minimums and maximums, of a cosine function f (x) on the interval [0, 2π].
ElenaW [278]

Problem 1

<h3>Answer: D) 2pi</h3>

-------------------

Explanation:

The given table we have is

\begin{array}{|c|c|c|c|c|c|c|} \cline{1-7}\text{Angle} & 0 & \pi/6 & \pi/2 & 5\pi/6 & 3\pi/2 & 2\pi\\ \cline{1-7}f(x) & 1 & 0 & -1 & 0 & 3 & 1\\ \cline{1-7}\end{array}

If you were to graph all those points and draw a cosine curve through them, then the function you should get is

y = 2\cos\left(x+\frac{\pi}{2}\right)+1

The B coefficient is 1, so that leads to a period of

T = 2pi/B

T = 2pi/1

T = 2pi

=============================================

Problem 2

<h3>Answer: C) 343.134 yards</h3>

-------------------

Explanation:

Draw out a triangle with these properties

  • side a = 270
  • side b = 170
  • angle C = 100

We'll use the law of cosines to find side c

c^2 = a^2 + b^2 - 2*a*b*cos(C)

c^2 = 270^2 + 170^2 - 2*270*170*cos(100)

c^2 = 117740.902710

c = sqrt(117740.902710)

c = 343.133943

c = 343.134

=============================================

Problem 3

<h3>Answer: A) 2</h3>

-------------------

Explanation:

If you started with y = sin(x) and applied the transformations stated, then you should end up with y = 2\sin\left(2(x+\frac{\pi}{4})\right)\\\\

From here, plug in x = 0 to find the y intercept.

y = 2\sin\left(2(x+\frac{\pi}{4})\right)\\\\y = 2\sin\left(2(0+\frac{\pi}{4})\right)\\\\y = 2\sin\left(\frac{\pi}{2}\right)\\\\y = 2*1\\\\y = 2\\\\

7 0
3 years ago
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