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marshall27 [118]
2 years ago
10

Gerry has two different part-time jobs, and he had work 20 hours per week at each job. He earns $8 per hour at one job. Which ex

pression represents how much Gerry earned last week if he earns d dollars per hour at this other job? A- 20+20d B- 160+ 20d C- 40+ d D- 160+ 8d
Mathematics
1 answer:
FromTheMoon [43]2 years ago
3 0
B

And what job he works 20 hours and eight dollars per hour equals 160 in other job you only know he works 20 hours
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What is the surface area of the triangular prism?
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Explanation:

The table that shows the pattern for this question is:

Time (year) Population

  0                   40

  1                     62

  2                    96

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  4                   231

A growing exponentially pattern may be modeled by a function of the form P(x) = P₀(r)ˣ.

Where P₀ represents the initial population (year = 0), r represents the multiplicative growing rate, and P(x0 represents the population at the year x.

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<u>1) P₀ </u>

  Using the first term of the sequence (0, 40) you get:

   P(0) = 40 = P₀ (r)⁰ = P₀ (1) = P₀

Then, P₀ = 40

<u>  2) r</u>

Take two consecutive terms of the sequence:

  • P(0) = 40 r⁰ = 40
  • P(1) = 40 r¹ = 40r = 62
  • P(1) / P(0) = 40r / 40 = 62/40
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You can verify that, for any other two consecutive terms you get the same result: 96/62 ≈ 149/96 ≈ 231/149 ≈ 1.55

<u>3) Model</u>

 

Thus, your model is P(x) = 40(1.55)ˣ

<u> 4) Population of moose after 12 years</u>

  • P(12) = 40 (1.55)¹² ≈ 7,692.019 ≈ 7,692, which is round to the nearest whole number.
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