Using logarithm, the following equation will apply:
Y = P * [1 + z]^x
Where Y = 2000
P = 100
z = 5% = 0.05
x is the quantity we are calculating for
The equation becomes
2000 = 100 * [1+ 0.05]^x
Dividing both side by 100, we have
20 = 10 * [ 1 + 0.05]^x
Taking the log of both sides, we have
Log 20 = Log [1 + 0.05]^x
log 20 = x * log 1.05
x = log 20/ log 1.05 = 61.40
Thus, it will takes 61.40 minutes for the number of cells in the petri dish to reach 2000.
Answer:
Here's my work for this problem:
Hello!
First of all let's look at points L and L'. The coordinates for L are (-5,-4) and the coordinates for L' are at (0,3).
First of all let's think about the vertical translation. This is the change in the y-axis. As you can see, the difference of 3 and -4 is 7. This means there was a vertical translation of 7, or it was moved up 7 units.
Now we have the horizontal translation, or the change in the x-axis. The difference of -5 and 0 is 5. Therefore it had a horizontal translation of 5.
(-5,-4)⇒(0,3) was translate up 7 units and translated right 5 units.
I hope this helps!
