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3 years ago

14

The population of Mathlandia in 1995 was 23,473 and was projected to grow at a rate of 12% per decade. Predict the population in

the year 2010.
27,822
29,445
39,435
976

1 answer:

lbvjy [14]3 years ago

8 0

Answer:

$27,822$

Step-by-step explanation:

Let

t-----> the time in decade

P----. the population

we know that

$P=23.473(1+0.12)^{t}$

we have

$t=(2010-1995)/10=15/10=1.5\ decade$

substitute

$P=23.473(1.12)^{1.5}=27,822$

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$S_6=\dfrac{4(1-(0.5)^6)}{(1-0.5)}$

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Case 2: If r is negative, then using (ii) we get

$6=a(1-0.5)$

$6=a(0.5)$

$\dfrac{6}{0.5}=a$

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The sum of first 6 terms is

$S_6=\dfrac{12(1-(-0.5)^6)}{(1+0.5)}$

$S_6=\dfrac{12(1-0.015625)}{1.5}$

$S_6=8(0.984375)$

$S_6=7.875$

Therefore, the sum of the first six terms is 7.875.

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