Answer:
2.2%
Step-by-step explanation:
Given the following :
Population in year 2000 (A) = 4.2 million
Expected population every 32 years = 2 *A
The growth rate per year =?
The population figure after 32 years = (2 * 4.2 million) = 8.4 million
Using the exponential growth formula :
P(t) = A × (1 + r)^t
(1 + r) = g = Total growth percent
A = Initial population
t = time
P(t) = 8.4 million
8,400,000 = 4,200,000 × g^32
g^32 = (8400000/4200000)
g^32 = 2
Taking the root of 32 on both sides
g = 1.02189714865
g = (1 + r)
1.02189714865 = 1 + r
r = 1.02189714865 - 1
r = 0.02189714865
.rate = 0.02189714865 * 100
= 2.18971486541%
= 2.2% ( nearest tenth)
Answer:
these are the answers you need and you'll need it anyways yw
Answer:Thus, (-3)-4 = 1/(-3)4.
Step-by-step explanation:
Negative exponents have the following property: n-m = 1/nm OR 1/n-m = nm
So for (-3)-4 , n= -3 and -m= -4 (or m= 4).
Thus, (-3)-4 = 1/(-3)4.
Answer:
x = sqrt(32)
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2+ b^2 = c^2
7^2 + x^2 = 9^2
49+x^2 = 81
Subtract 49 from each side
x^2 = 81-49
x^2 =32
Take the square root of each side
sqrt(x^2) = sqrt(32)
x = sqrt(32)
The probability that none of the shoes are black is 51.2%.
If 20% of the shoes are black, then 80% of the shoes are not black. To find the probability that three shoes are not black, we have to multiply 80% by itself 3 times.
0.8 x 0.8 x 0.8 = 0.512 = 51.2%
