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Hunter-Best [27]
3 years ago
10

Evaluate; f(n) = n- 8n² + 13n + 8 at n = 5 *

Mathematics
1 answer:
Yanka [14]3 years ago
3 0

Answer:

-122

Step-by-step explanation:

f(5)= 5- 8×5² + 13×5 +8

= 5 - 200+ 65+8

=78 -200

= -122

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In 1970, the population of a small town was 4,200. The population is decreasing at a rate of 2.4% per year. Which of the followi
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Answer:

a. y = 4,200 0.976^{4t}

b. 9.2%

Step-by-step explanation:

Given the information:

  • The intinital value: 4,200
  • The population is decreasing at a rate of 2.4% per year

=> the base number of the exponential function is:

100% - 2.4% = 97.6% = 0.976

Let t is quarter

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y (t)= 4,200 0.976^{4t}

b. The population is decreasing by how much percent per quarter?

Let t = 0 we have: y(0) = 4,200 0.976^{4*0} = 4200

Let t = 1 we have:  y(1) = 4,200 0.976^{4*1} = 3811

=> the decreasing percentage is:

= (y(0) - y(1)) / y(0)*100%

= (4200 - 3811) / 4200 *100%

= 389/4200*100%

= 9.2%

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