Answer:
-49 275/1000
Step-by-step explanation:
Work out 6% of $42 which equals to $2.52. The work out what 20% of $42 which is $8.40. Finally add the $8.40 and $2.52 onto $42 to give you your answer of $52.92
Answer:
A. 15
B. 9.6
Step-by-step explanation:
A. 6*25=x*10
150=10x
15=x (divide 10 from both sides)
B. 5*y=8*6
5y=48
y=9.6 (divide 5 from both sides)
Answer:
The initial bacteria population is 238
Step-by-step explanation:
Let us have the increase as an exponential equation
P(t) = I(1 + r)^t
where P(t) is the count at a particular time
r is the percentage increase
I is the initial population
t is the time
So for 5 minutes, we have
348 = I(1 + r)^5
For 20 minutes
1088 = I(1 + r)^20
Divide the second equation by the first
1088/348 = I(1 + r)^20/I(1 + r)^5
3.13 = (1 + r)^15
Take the ln of both sides
ln 3.13 = 15 ln (1 + r)
ln 3.13/15 = ln (1 + r)
0.0761 = ln (1 + r)
1 + r = e^0.0761
1 + r = 1.079
r = 1.079-1
r = 0.079 which is 7.9%
So per minute. we have an increase of 7.9%
So let’s get I by substituting
From;
348 = I(1 + 0.079)^5
348/1.079^5 = I
I = 237.9 which is 238 to the nearest whole number
This is going to be an long answer, so I'm putting the answer first. y=3x-7
First, you have to find the equation of the line given. You can use point slope form for that. You can see that the slope is -1/3, and it goes through (2,2). So, the equation would be
y-2=-1/3(x-2)
Which simplifies to
y=-1/3x+8/3
Now, we can get on to finding the actual answer. The slope of a line perpendicular would be the negative reciprocal of the original slope. That just means you flip it and multiply it by -1. So, the slope of the new line is 3. Now you can use point slope form again and make an equation, which is
y+1=3(x-2)
Which simplifies to
y=3x-7
Please don't ask me why the slope is the negative reciprocal, or how they came up with the formula for the point slope form. I DON'T KNOW. If you want to know so bad you would give up chick-fil-A for the rest of your life, there's always google.
