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saw5 [17]
3 years ago
6

Population a current census shows that the population of a city is 3.5 million using the formula p= aert find the expected popul

ation of the city in 30 years of the growth rate r of the population is 1.5% a reaper prevents the current population in millions and the t represents the time in years
Mathematics
1 answer:
Yuki888 [10]3 years ago
6 0

Answer: the expected population of the city in 30 years is 5470781

Step-by-step explanation:

The population growth is exponential. The growth rate is exponential. We would apply the formula for exponential growth which is expressed as

A = P(1 + r)^t

Where

A represents the population after t years.

t represents the number of years.

P represents the initial population.

r represents rate of growth.

From the information given,

P = 3.5 × 10^6

r = 1.5% = 1.5/100 = 0.015

t = 30 years

Therefore,

A = 3.5 × 10^6(1 + 0.015)^30

A = 3.5 × 10^6(1.015)^30

A = 5470781

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Determine whether abc ----> jgh is a reflection, translation, rotation, or glide reflection.
Usimov [2.4K]
From this picture you can calculate coordinates of triangles' vertices:
A(-9,0),\ B(-6,-4),\ C(-3,0),\ J(8,0),\ G(5,4),\ H(2,0).

Since 

\frac{-9+8}{2} = \frac{-6+5}{2}= \frac{-3+2}{2}=- \frac{1}{2} \frac{0+0}{2}= \frac{-4+4}{2} = \frac{0+0}{2} =0 

you can conclude that points A, B, C are rotated by 180^0 about the point (-0.5,0) to form points J, G, H, respectively.

Answer: A is correct choice.
3 0
3 years ago
Determine whether AB ← → and CD ← → − are parallel, perpendicular, or neither. A(-6, 2), B(−3, -4), C(1, -3), D(3, 4)
guapka [62]
Neither they connect but don’t make a 90 degree angle

6 0
3 years ago
Construct the confidence interval for the population mean mu. c = 0.90​, x = 16.9​, s = 9.0​, and n = 45. A 90​% confidence inte
Georgia [21]

Answer:

The  90%  confidence interval for population mean is   14.7  <  \mu  <  19.1

Step-by-step explanation:

From the question we are told that

   The sample mean is  \= x  =  16.9

    The confidence level is  C  =  0.90

     The sample size is  n  =  45

     The standard deviation

Now given that the confidence level is  0.90 the  level of significance is mathematically evaluated as

       \alpha =  1-0.90

       \alpha  =  0.10

Next we obtain the critical value of  \frac{\alpha }{2}  from the standardized normal distribution table. The values is  Z_{\frac{\alpha }{2} } =  1.645

The  reason we are obtaining critical values for \frac{\alpha }{2}  instead of  that of  \alpha  is because \alpha  represents the area under the normal curve where the confidence level 1 - \alpha (90%)  did not cover which include both the left and right tail while \frac{\alpha }{2}  is just considering the area of one tail which is what we required calculate the margin of error

  Generally the margin of error is mathematically evaluated as

        MOE  =  Z_{\frac{\alpha }{2} } *  \frac{\sigma }{\sqrt{n} }

substituting values

         MOE  = 1.645*  \frac{ 9 }{\sqrt{45} }

         MOE  = 2.207

The  90%  confidence level interval is mathematically represented as

      \= x  -  MOE  <  \mu  <  \= x  +  MOE

substituting values

     16.9 -  2.207  <  \mu  <  16.9 +  2.207

    16.9 -  2.207  <  \mu  <  16.9 +  2.207

     14.7  <  \mu  <  19.1

         

3 0
3 years ago
Find the value of x
GalinKa [24]

Answer:

29 degrees

Step-by-step explanation:

9: 2x - 2 + x + 5 = 90

3x + 3 = 90

3x = 90 - 3

3x = 87

x = 29 degrees

4 0
2 years ago
Jimmy made 16 quarts of lemon juice. How many liters of lemon juice did Jimmy make? 1 gallon = 4 quarts 1 gallon = 3.785 liters
nexus9112 [7]
The answer is 15.14

1 gallon = 4 quarts
1 gallon = 3.785 liters

16 quarts = 4 gallons
4 x 3.785 = 15.14
3 0
3 years ago
Read 2 more answers
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