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Kryger [21]
3 years ago
13

From 2006 to 2010, the population of a town declined to 22,000. The population is expected to continue to decline at a rate of 2

.8% each year.
20 POINTS PLEASE HELP
What will the population be in 2040?

Round to the nearest whole number.



Enter your answer in the box.
Mathematics
2 answers:
Archy [21]3 years ago
6 0

i took the test and the answer was 9384


VashaNatasha [74]3 years ago
6 0

Answer: 9384

========================================

In the year 2010, the population is P = 22000 which is the starting population. The rate is r = -0.028 indicating a decrease of 2.8% annually

A = P*(1+r)^t

A = 22000*(1+(-0.028))^t

A = 22000*(1-0.028)^t

A = 22000*(0.972)^t

Now plug in t = 30 to compute the population in the year 2040 (which is 30 years after 2010)

A = 22000*(0.972)^30

A = 22000*0.42656768

A = 9384.48896

A = 9384 .... rounding to the nearest whole number

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Answer:

t=5.5080( to 3 d.p)

Step-by-step explanation:

From the data given,

n =20

Deviation= 34/20= 1.7

Standard deviation (sd)= 1.3803(√Deviation)

Standard Error = sd/√n

= 1.3803/V20 = 0.3086

Test statistic is:

t = deviation /SE

= 1.7/0.3086 = 5.5080

ndf = 20 - 1 = 19

alpha = 0.01

One Tailed - Right Side Test

From Table, critical value of t =2.5395

Since the calculated value of t = 5.5080 is greater than critical value of t = 2.5395, the difference is significant. Reject null hypothesis.

t score = 5.5080

ndf = 19

One Tail - Right side Test

By Technology, p - value = 0.000

Since p - value is less than alpha , reject null hypothesis.

Conclusion:

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