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
Since -5 and -5 are the same number, they are on the same y axis so the only distance we need to calculate is between the X coordinates.
When looking for distance, you can not have a negative. what |-3|+|9| is looking for is the distance from 0 on the X axis. since distance can't be negative, (you go 3 miles away from your house in one direction, vs 3 miles in the opposite. both ways is positive, even with opposite directions. same with axis, it doesnt matter which way, only the number.) you need the absolute value of -3 to get the distance from the 0 on the x axis.
short version: distance is positive, and its adding the distances from the x axis to get distance from each other
Using a system of equations, it is found that the unit prices are:
- $2.25 for a bag of chips.
- $1.50 for a liter of pop.
- $1.75 for a chocolate bar.
For the system:
- x is the unit price of a bag of chips.
- y is the unit price of liter of pop.
- z is the unit price for a chocolate bar.
From the table, the equations are:
Replacing the <u>first equation on the second and the third:</u>
Since :
Then:
The unit prices are:
- $2.25 for a bag of chips.
- $1.50 for a liter of pop.
- $1.75 for a chocolate bar.
A similar problem, also solved using a system of equations, is given at brainly.com/question/14183076
The answer for that problem is z =12+6
Answer:
2 hours
Step-by-step explanation:
Let's denote the amount of time we need to find out, t.
=> 600 + 50t < 500 + 100t
or 600 - 500 < 100t - 50t
or 100 < 50t
or 100/50 < t
or t > 2
=> After 2 hours, company B will be cheaper option than company A
