Answer:
Step-by-step explanation:
hope this helps you.
Answer:
11.0 years
Step-by-step explanation:
The exponential function describing the population growth can be written ...
population = (initial population)×(1 +growth rate)^years
If t represents the number of years, we can fill in the values to get ...
18500 = 12000×1.04^t
Dividing by 12000 gives ...
18500/12000 = 1.04^t
Taking logarithms, we have ...
log(18500/12000) = t×log(1.04)
t = log(185/120)/log(1.04) ≈ 11.037 ≈ 11.0
It will be 11.0 years until the population reaches 18,500.
Well threw my calculations would be <span><span> x= 0.0000 - 2.0000 i
</span><span> x= 0.0000 + 2.0000 i
</span></span>
The <em>rigid</em> transformations used for each figure:
- Figure 5 - Reflection around x and y axes: (x, y) → (- x, - y)
- Figure 6 - Horizontal and vertical translations: (x, y) → (x + 1, y - 2)
<h3>What transformation rules do create the resulting images?</h3>
In this question we must determine what kind of <em>rigid</em> transformations generates each image. <em>Rigid</em> transformations are transformations applied on geometric loci such that <em>Euclidean</em> distance is conserved. Now we proceed to determine the transformation rule for each case:
Figure 5 - Reflection around the x-axis followed by reflection around the y-axis.
(x, y) → (- x, - y)
Figure 6 - Translation one unit in the +x direction and two units in the -y direction.
(x, y) → (x + 1, y - 2)
To learn more on transformation rules: brainly.com/question/9201867
#SPJ1
Answer:
an = 4n +5
Step-by-step explanation:
First we need to find a common difference
d = a2-a1 = 13-9 = 4
The formula for an
an =a1+d(n-1)
an = 9 + 4(n-1)
Distributing
an = 9+4n-4
Combine like terms
an = 4n +5
