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Ghella [55]
3 years ago
5

What is the value of h? g = -7.1 h = 3 - 10g

Mathematics
1 answer:
Step2247 [10]3 years ago
4 0

Answer:

74

Step-by-step explanation:

Please separate the two functions:

g = -7.1

h = 3 - 10g

Substitute -7.1 for g in h = 3 - 10g:

h = 3 - 10(-7.1) = 71 + 3 = 74

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For solving this question, you should apply the Population Growth Equation.

<h3>Population Growth Equation</h3>

The formula for the Population Growth Equation is:

      P_f=P_o*(1+\frac{R}{100} )^t        

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r=growth rate

t= time (years)

STEP 1 - Find the constant rate of continuous growth, k, for this population.

For this exercise, you have:

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Po=initial population =150,000 in 2010.

r=growth rate= ?

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Then,

P_f=P_o*(1+\frac{R}{100} )^t\\ \\ 185000=150000\cdot \left(1+\frac{R}{100}\:\right)^{10}\\ \\ \left(1+\frac{R}{100}\right)^{10}=\frac{185000}{150000} \\ \\ \left(1+\frac{R}{100}\right)^{10}=\frac{37}{30}\\ \\ R=100\sqrt[10]{\frac{37}{30}}-100=2.11935\%

STEP 2 - Find the <em>t</em>  for population 250,000 people.

P_f=P_o*(1+\frac{R}{100} )^t\\ \\ 250000=150000\cdot \left(1+\frac{2.11935}{100}\:\right)^{10}\\ \\ \left(1+\frac{2.11935}{100}\right)^{10}=\frac{250000}{150000} \\ \\ \left(1+\frac{2.11935}{100}\right)^t=\frac{5}{3}\\ \\ t\ln \left(1+\frac{2.11935}{100}\right)=\ln \left(\frac{5}{3}\right)\\ \\ t=\frac{\ln \left(\frac{5}{3}\right)}{\ln \left(\frac{102.11935}{100}\right)}\\ \\ t=24.36

Read more about the population growth equation here:

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