We assume the annual percentage increase is the same. We will work out the constant k using the formula
We have
P = 76
A = 72
t = 6 years (from 1992 to 1998)
Substitute into the formula


Take log both sides give



We can now work out the number of population by the end of 2012 using the formula
We have
A = 72 million
k = 0.009
t = 10 years (1992 to 2012)


≈79 million
Answer:
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Step-by-step explanation:
Y=ax² + bx + c and A(-2,18), B(0.4), C(4,24) given
1)Let's determine 1st the value of c in using the pair of B
4= a(0)² + b(0) + c , c=4 and y=ax²+bx+4
2) Use the pair of A: 18 = 4a -2b + 4===> 4a-2b=14
3) Use C pair: 24 = 16a+4b+4 ==> 16a+4b=20
4) solve the system equation in 2) and 3) and you'll find a=2 and b=-3
Hence the equation is y =2x²-3x+4
I believe the answer is A. 40.