The population in 2016 is likely to be 206.20 million.
Given:
Let the population in 1994 be P₀ and g be the exponential growth.
Let the population Pn in nth will be denoted by Pn = P₀ * (1+g)n.
The population in 1994 was 195 million and after 8 years it became 199 million in 2002.
So,
199 = 195 * (1+g)₈ = 199195
Using log,
=8 * log(1+g) = log199 - log195 = 0.0088185
=log(1+g) = 0.0011022
=1 + g = 1.002541
g = 0.00254
Therefore the growth rate is 0.2541%
The population in 2016 is computed by:
= 195 * (1+g)₂₂ or 195 * 1.002541₂₂
= 195 * 1.0574279
= 206.20 million
The first statement comes about because
a could be (say) 5
b could be (say) 6
Then c would be square root of 25 + 36 = 61 which is irrational.
I'm not sure of the wording of the second one. It reads like (5 + 6)^2 = 121 the two rationals added together make a rational number in my example. So I think that part is wrong. the second part is correct. For example sqrt(5) + sqrt(6) doesn't produce anything that is rational.
It doesn't have to. pi^2 + [cube root(10)]^2 does not produce anything rational and that is certainly not a perfect square. My first example shows that as well
I think the last one might be true.
4(5) - 2/-2(-3) + 1
20 - 2/6 + 1
18/7
2 4/7
Letter b
Answer:
t = 1.5 seconds
Step-by-step explanation:
Given that d = −4t^2 + 2t + 6,
where d = distance above the water and
t = seconds.
Let assume that it's a perfect parabola
At the symmetry
t = -b/2a
Where a = -4, b = 2
t = -2/2(-4)
t = 1/4
To determine how long it will take a diver to reach the water’s surface
d = −4t^2 + 2t + 6
At water surface d =0
4t^2 - 2t - 6 = 0
Factorizing the above equation leads to
4t^2 + 4t - 6t - 6 = 0
4t(t + 1) -6(t + 1) = 0
4t - 6 =0
4t = 6
t = 6/4= 3/2 = 1.5 seconds
Since t can't be negative so we ignore the second factor.