20% of 98 acres
first convert 20% into a decimal value
20% = 0.20
then multiply 0.20 with 98
0.20*98 =?
$42 because shari needs 294 so divide that by seven and then you get $42
Solutions
You have been given the y-intercept of -4. The meaning of this is that the given line will go through the point (0, -4). Plug in 1 for x and find y.
![ y = 2x - 4 y = 2 * 1 - 4 y = 2 - 4 y = -2](https://tex.z-dn.net/?f=%0Ay%20%3D%202x%20-%204%0A%0Ay%20%3D%202%20%2A%201%20-%204%0A%0Ay%20%3D%202%20-%204%0A%0Ay%20%3D%20-2)
<span>
</span>In graph C,= x = 1, y = -2
<span>Graph C is the correct answer.</span>
<span>There are 47,124 different committees you can select.
Explanation:The number of combinations of 9 teachers taken 3 at a time is given by
</span>
![_9C_3=\frac{9!}{3!6!}=84](https://tex.z-dn.net/?f=_9C_3%3D%5Cfrac%7B9%21%7D%7B3%216%21%7D%3D84)
<span>
The number of combinations of 34 students taken 2 at a time is given by
</span>
![_{34}C_2=\frac{34!}{2!32!}=561](https://tex.z-dn.net/?f=_%7B34%7DC_2%3D%5Cfrac%7B34%21%7D%7B2%2132%21%7D%3D561)
<span>
Together this makes 84*561 = 47124 combinations.</span>
Answer:
![t=4820 y](https://tex.z-dn.net/?f=t%3D4820%20y)
Step-by-step explanation:
a) The half-life equation is given by:
![t_{1/2}=\frac{ln(2)}{k}](https://tex.z-dn.net/?f=t_%7B1%2F2%7D%3D%5Cfrac%7Bln%282%29%7D%7Bk%7D)
b) Using the decay equation we have:
![Q(t)=15e^{-0.0001438t}](https://tex.z-dn.net/?f=Q%28t%29%3D15e%5E%7B-0.0001438t%7D)
we need to find t when ![Q(t)=\frac{Q_{0}}{2}](https://tex.z-dn.net/?f=Q%28t%29%3D%5Cfrac%7BQ_%7B0%7D%7D%7B2%7D)
![7.5=15e^{-0.0001438t}](https://tex.z-dn.net/?f=7.5%3D15e%5E%7B-0.0001438t%7D)
![0.5=e^{-0.0001438t}](https://tex.z-dn.net/?f=0.5%3De%5E%7B-0.0001438t%7D)
![ln(0.5)=-0.0001438t](https://tex.z-dn.net/?f=ln%280.5%29%3D-0.0001438t)
![t=\frac{ln(0.5)}{-0.0001438}](https://tex.z-dn.net/?f=t%3D%5Cfrac%7Bln%280.5%29%7D%7B-0.0001438%7D)
![t=4820 y](https://tex.z-dn.net/?f=t%3D4820%20y)
Therefore, it will take 4820 years to decay to half the original amount.
I hope it helps you!