(2,-7) is the point after the translation is made to find the original point just do the opposite of the equation so for x it would be
2-4=-2
Y would be
-7+3=-4
So the answer is (-2,-4)
Answer:
I need help right now with math
Step-by-step explanation:
Answer:
270
multiply the number by the percentage-
300 x .90= 270 students
Answer: (f)
Step-by-step explanation:
Given
The growth equation is ![y=50(1.05)^x](https://tex.z-dn.net/?f=y%3D50%281.05%29%5Ex)
When population becomes 1500
![\Rightarrow 1500=50(1.05)^x\\\Rightarrow 30=(1.05)^x\\\text{Taking log both sides}\\\Rightarrow \ln (30)=x\ln (1.05)\\\\\Rightarrow x=\dfrac{\ln (30)}{\ln (1.05)}\\\\\Rightarrow x=69.71](https://tex.z-dn.net/?f=%5CRightarrow%201500%3D50%281.05%29%5Ex%5C%5C%5CRightarrow%2030%3D%281.05%29%5Ex%5C%5C%5Ctext%7BTaking%20log%20both%20sides%7D%5C%5C%5CRightarrow%20%5Cln%20%2830%29%3Dx%5Cln%20%281.05%29%5C%5C%5C%5C%5CRightarrow%20x%3D%5Cdfrac%7B%5Cln%20%2830%29%7D%7B%5Cln%20%281.05%29%7D%5C%5C%5C%5C%5CRightarrow%20x%3D69.71)
Thus, after 69.71 years of year 2015 i.e.
. In year 2084, it becomes 1500.
option (f) is correct.