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devlian [24]
3 years ago
14

Use the provided information below to identify each of Mr. Nicholson’s earning opportunities as arithmetic or geometric. For eac

h opportunity, include the common difference or ratio. In your final answer, use complete sentences to explain how you identified each opportunity as arithmetic or geometric.
Mr. Nicholson accepts a job that pays an annual salary of $60,000. In his employment contract, he is given the option of choosing a) an annual raise of $3,500 or b) an annual raise of 5% of his current salary.
Mathematics
1 answer:
natita [175]3 years ago
7 0

Answer:

4,200

Step-by-step explanation:

$60,000 divided by 3,500 is 4,200

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You have a fishing line spool with an end that has an area of 20.0 cm2. how much fishing line do you need to wind around the spo
grandymaker [24]

Answer: 158.53 cm

Step-by-step explanation:

We know that the ends of a fishing line spool are circular in shape.

Given : The area of an end of fishing line spool = 20.0\cm^2   (1)

Area of a circle = \pi r^2                                (2)

Circumference of a circle = 2\pi r                           (3)

, where r is radius of the circle.

From (1) and (2), we have

\pi r^2=20\\\\\Rightarrow\ r^2=\dfrac{20}{\pi}\\\\\Rightarrow\ r=\sqrt{\dfrac{20}{\pi}}                

Circumference of fishing spool = 2\pi r               (using (3))

=2\pi \sqrt{\dfrac{20}{\pi}}=2\sqrt{20\pi}=2\times2\sqrt{5\pi}=4\sqrt{5\pi}

i.e. Fishing spool required to wind around the spool one time =4\sqrt{5\pi}\ cm

⇒ Fishing spool required to wind around the spool 10 times =10\times4\sqrt{5\pi}\ cm=40\sqrt{5\pi}\\\\=40\times\sqrt{5}\times \pi\\\\=40\times2.236\times\sqrt{3.14159}\\\\=89.44\times1.772453\\\\=158.528205473\approx158.53\ cm

Hence, you need 158.53 cm or about 159 cm of fishing line to wind around the spool 10 times.

7 0
3 years ago
Helpppp
Tom [10]
D because if it says -3 that means the opposite so go right because it is also horizontal and + means up so go up because it is vertical.
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