Given:
The population, P, of six towns with time t in years are given by the following exponential equations:
(i) 
(ii) 
(iii) 
(iv) 
(v) 
(vi) 
To find:
The town whose population is decreasing the fastest.
Solution:
The general form of an exponential function is:
Where, a is the initial value, b is the growth or decay factor.
If b>1, then the function is increasing and if 0<b<1, then the function is decreasing.
The values of b for six towns are 1.08, 1.12, 0.9, 1.185, 0.78, 0.99 respectively. The minimum value of b is 0.78, so the population of (v) town is decreasing the fastest.
Therefore, the correct option is b.
Answer:
<em>The answer is 5</em>
Step-by-step explanation:
<em>From the question given, we have to make reference to what we already know.</em>
<em>Recall that, for normality assumptions np and nq values need to be greater than or equal to 5.</em>
<em>Hence,</em>
<em>P = 0.6, where p = population proportion </em>
<em>q = 1 – p=</em>
<em>1 – 0.6 = 0.4</em>
<em>n = 13</em>
<em>thus,</em>
<em>np = 13 x 0.6 = 7.8 > 5</em>
<em>Therefore,</em>
<em>nq = 13 x 0.6 = 5.2 > 5</em>
Profit=no of katanas sold * (selling price of each katana-cost of making one katana) - cost to run the website
Answer:
The chance that the second person has the same birthday is 1/365. To find the probability that both people have this birthday, we have to multiply their separate probabilities. (365/365) * (1/365) = 1/365, or about 0.27%
The cost of using 19 HCF of water is $32.49
Given in the question:
The monthly cost (in dollars) of the water use (in dollars) is a linear function of the amount of water used (in hundreds of cubic feet, HCF)
The cost for using 17 HCF of water is using $32.13
and, the cost of using 35 HCF is $61.83.
To find the cost of using 19 HCF of water.
Now, According to the question:
The cost for using 17 HCF of water is $32.13
and, the cost of using 35 HCF is $61.83.
To find the slope:
(17, 32.13) and (35, 61.83)
Slope = (61.83 - 32.13)/ (35 - 17) = 1.65
We know that:
Formula of slope :
y = mx + b
32.13 = 1.65 x 17 + b
b = 1.14
The equation will be :
C(x) = 1.65x + 1.14
Now, To find the cost of using 19 HCF of water.
C(19) = 1.65 × 19 + 1.14
C(19) = $32.49
Hence, the cost of using 19 HCF of water is $32.49.
Learn more about Slopes at:
brainly.com/question/3605446
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