Question

A country's population in 1990 was 156 million. In 1996 it was 162 million. Estimate the population in 2016 using the exponential growth formula. Round your answer to the nearest million.

Answer 1

ugg hated these problems!!

Answer 2

I'm ready to poke my eyes out ;)

Answer 3

i feel ya!! and they take forever!

Answer 4

The population increases156,000,000 to 162,000,000 over 6 years
156,000,000 * (1+r)^6 = 162,000,000
(1+r)^6 = 162,000,000 / 156,000,000
(1+r)^6 = 1.03846153846154
6 * log(1+r) = log(1.03846153846154)
log(1+r) = 0.01639041618817 / 6
log(1+r) = 0.0027317360313616
1+r = 1.0063098786004
r = .0063098786004

Testing the value of r
156,000,000 * (1+ .0063098786004)^6 = 1996 population
156,000,000 * 1.03846153846154 = 162,000,000 1996 population
r = .0063098786004

I think you can use this information to calculate the 2016 population.

Answer 5

Instructions:Select the correct answer from each drop-down menu.

∆ABC is translated 2 units down and 1 unit to the left. Then it is rotated 90° clockwise about the origin to form ∆A′B′C′.

The coordinates of vertex A′ of ∆A′B′C′ are .
The coordinates of vertex B′ of ∆A′B′C′ are .
The coordinates of vertex C′ of ∆A′B′C′ are .