Step-by-step explanation:
P(t) = 12,000 (2)^(-t/15)
9,000 = 12,000 (2)^(-t/15)
0.75 = 2^(-t/15)
ln(0.75) = ln(2^(-t/15))
ln(0.75) = (-t/15) ln(2)
-15 ln(0.75) / ln(2) = t
t = 6.23
Answer:
t=√
−1
16
h+
25
16
Step-by-step explanation:
Just multiple, you will get 15x+25x+6x+10 and then simplify
the answer 46x+10
Answer:
Step-by-step explanation:
4) (-2,3) ; (-1,-2)
![Slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\frac{-2-3}{-1-[-2]}\\\\=\frac{-5}{-1+2}\\\\=\frac{-5}{1}\\\\=-5](https://tex.z-dn.net/?f=Slope%20%3D%20%5Cfrac%7By_%7B2%7D-y_%7B1%7D%7D%7Bx_%7B2%7D-x_%7B1%7D%7D%5C%5C%5C%5C%3D%5Cfrac%7B-2-3%7D%7B-1-%5B-2%5D%7D%5C%5C%5C%5C%3D%5Cfrac%7B-5%7D%7B-1%2B2%7D%5C%5C%5C%5C%3D%5Cfrac%7B-5%7D%7B1%7D%5C%5C%5C%5C%3D-5)
5) line is parallel to x-axis. So, slope= 0
6) (1,1) ; (-2, -1)

8/24 = x / 48
cross multiply
(24)(x) = (8)(48)
24x = 384
x = 384/24
x = 16 <===