Answer:
$730.08
Step-by-step explanation:
22% = 0.22
1 - 0.22 = 0.78
Value after 2 years
v = 1200(0.78)²
v = 730.08
$730.08
Answer:
x = 50
Step-by-step explanation:
Since this is a right triangle we can use special triangles
The angle next to the x is 60 degrees since it is a 30 60 90 triangle
The side opposite the 30 degree angle is the shorter side
The hypotenuse - 2 * shorter leg
100 = 2 * x
x = 50
Answer:
9,942 bacteria were there at 10 hours.
Step-by-step explanation:
Equation for population decay:
The equation for population decay, after t hours, is given by:

In which P(0) is the initial population and r is the decay rate, as a decimal.
Researchers recorded that a certain bacteria population declined from 200,000 to 900 in 18 hours.
This means that
and that when
. So we use this to find r.



![\sqrt[18]{(1-r)^{18}} = \sqrt[18]{\frac{900}{200000}}](https://tex.z-dn.net/?f=%5Csqrt%5B18%5D%7B%281-r%29%5E%7B18%7D%7D%20%3D%20%5Csqrt%5B18%5D%7B%5Cfrac%7B900%7D%7B200000%7D%7D)


So


At this rate of decay, how many bacteria was there at 10 hours?
This is P(10). So

Rounding to the nearest whole number:
9,942 bacteria were there at 10 hours.
The answer to this, is your third option or "C". This is because "C" is the only option where the x values of the coordinate doesn't repeat<span />