Answer:
The initial population at the beginning of the 10 years was 129.
Step-by-step explanation:
The population of the village may be modeled by the following function.
![P(t) = P_{0}e^{rt}](https://tex.z-dn.net/?f=P%28t%29%20%3D%20P_%7B0%7De%5E%7Brt%7D)
In which P is the population after t hours,
is the initial population and r is the growth rate, in decimal.
In this problem, we have that:
.
So
![158 = P_{0}e^{0.02*10}](https://tex.z-dn.net/?f=158%20%3D%20P_%7B0%7De%5E%7B0.02%2A10%7D)
![P_{0} = 158*e^{-0.2}](https://tex.z-dn.net/?f=P_%7B0%7D%20%3D%20158%2Ae%5E%7B-0.2%7D)
![P_{0} = 129](https://tex.z-dn.net/?f=P_%7B0%7D%20%3D%20129)
The initial population at the beginning of the 10 years was 129.
So the greatest common factor of 40 and 16 is 8
40/8 : 16/8
5:2
The simplest form of the ratio 40:16 is 5:2
Hope this helps!
Answer:
<em>60cm²</em>
Step-by-step explanation:
Length = 6cm
Breadth = 10cm
Area of rectangle = l×b
=( 10 ×6)cm
= <u>60cm²</u>
Hope it helps.
When adding fractions you need to get common denominators then you multiply too times bottom and then boom add and there you go
Answer:
d) intersecting, but not perpendicular lines
Step-by-step explanation:
Changing the sign of one of the variable terms causes the line to be reflected across one of the axes. The slope is the opposite of what it was. Since the original slope was not 1 or -1, the resulting line is not perpendicular to it. Lines with different slopes will be intersecting.
The two lines are intersecting, but not perpendicular.