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zaharov [31]
3 years ago
11

Write an exponential function to model the situation. Find each amount after the specified time. A population of 120,000 grows 1

.2% per year for 15 years.
Mathematics
1 answer:
Savatey [412]3 years ago
8 0
Exponential growth function is given by f(t) = A(1 + k%)^t; where A is the initial value, k is the growth rate and t is the time period.

Therefore, the required function is
f(t) = 120,000(1 + 0.012)^t = 120,000(1.012)^t

After 15 years, the new population is 120,000(1.012)^15 = 120,000 x 1.1959 = 143,512
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uysha [10]

Answer:4.99

Step-by-step explanation:

Use a calculator

Don't equations like this take too long by hand

7 0
3 years ago
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Noise levels at 3 airports were measured in decibels yielding the following data:
Shalnov [3]

Answer:

a)  The 90% confidence interval for the mean noise level at such locations      

  (112.46 , 163.54)

b) The critical value that should be used in constructing the confidence interval

Z₀.₁₀ = 1.645

Step-by-step explanation:

<u><em>Step(i)</em></u> :-

Noise levels at 3 airports were measured in decibels yielding the following data

108   146   160

Mean of given data

         x^{-} = \frac{108+146+160}{3} = 138

x          :     108   146   160

x-x⁻      :      -30   8       22

(x-x⁻ )² :     900   64     484

Variance  σ ² = ∑(x-x⁻ )²/ n-1

                                        = \frac{900+64+484}{3-1}= 724

Standard deviation  

                σ = √724 = 26.90

<u><em>Step(ii):</em></u>-

The 90% confidence interval for the mean noise level at such locations                        

       (x^{-} - Z_{0.90} \frac{S.D}{\sqrt{n} } , (x^{-} + Z_{0.90} \frac{S.D}{\sqrt{n} } )

The critical value that should be used in constructing the confidence interval

Z₀.₁₀ = 1.645

         (138 - 1.645 \frac{26.90}{\sqrt{3} } , (138 + 1.645 \frac{26.90}{\sqrt{3} } )

        ( 138 - 25.54 , 138 + 25.54 )

        (112.46 , 163.54)

4 0
3 years ago
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Nitella [24]
Make a table with the angle theta as independent variable and the radius r as dependent variable:

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------- -----------------------------------------
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Perhaps you have already plotted this using webassign (but remember that you have not shared an illustration here).  (Please don't type "webassign plot" repeatedly, as it accomplishes nothing.)

Generally, when one wishes to find the area of a region defined by polar functions (as is the case here), one first determines suitable limits of integration from the finished curve and checks them through actual integration.  

Which formula should you use to find the area:  Look up "areas in polar coordinates," as I did.  The formula is as follows:


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4 years ago
store a sells 12 juices bottles for $4 and store B sells 18 juice bottles for $6. Are the ratew equivalent? explain your reason
Elza [17]
First, you'll have to find how much it costs for one bottle of juice.
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Store B- 6/18= 0.33 So one bottle of juice costs 33 cents.

Yes, the rates are equivalent because one bottle of juice costs the same from each store.
8 0
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labwork [276]

Answer:

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Step-by-step explanation:

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3 0
3 years ago
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