Answer:

Step-by-step explanation:
The amount that Alexa owes after t weeks is given by a linear equation in the following format:

In which L(0) is the initial amount borrowed and b is how much is paid per week.
Alexa agreed to pay back her friend $10 per week and originally borrowed $170.
This means that, respectivelly,
. So


0.813 is your answer because 7 is higher than 5 which means you have to round it up and not down
Answer:
5 weeks
Step-by-step explanation:
$ 9 an hr for 30 hrs.....(9 * 30) = $270
they deduct $ 27 from her weekly check
so she clears (270 - 27) = $ 243 per week
she wants to get to $ 1200...
1200 / 243 = 4.94 weeks......we are gonna have to round up to 5 weeks because 4 weeks is just a little short.
Answer:
168.7602 miles
Step-by-step explanation:
One way to solve this problem is by using an equation that describes the listening radius of the station, and another for the road, then the points where this two-equation intersect each other will represent when the driver starts and stops listening to the station, and the distance between the points is the miles that the driver will receive the signal.
The equation for the listening radius (the radio station is at (0,0)):

The equation for the road that past through the points (-120,0) and (80,100) (Collinsville and Harmony respectively):


Substitutes the value of y in the equation of the circle:

The formula to solve second-degree equations:

Using the values in x to find the values in y:


The distance between the points (51.4718,85.7359) and (-99.4718,10.2641) :

Since it's 3 people splitting 10 oz, we get:

Which can then be simplified to a mixed fraction:

So, yes, you got it right! Good job!