Answer:
A≈12.57
r Radius 2
Step-by-step explanation:
You are given two x and y pairs: (100,45) and (570,162.5)
First solve for the slope, m.
m = (162.5 - 45) / (570 - 100)
m = 117.5 / 470
m = 0.25
Not only is "m" the slope but it is the rate (dollars per minute) in the question. So it's 25 cents per minute to use the phone.
After imputing "m" the linear equation looks like this:
y = 0.25x + b
Use either point as (x,y) to solve for the y-intercept "b". I'll use (100,45)
45 = 0.25(100) + b
45 = 25 + b
45 - 25 = b
20 = b
Not only is "b" the y-intercept but it is also always the flat fee added on to linearly increasing cost questions like this.
Final equation is:
y = 0.25x + 20
Part B.) If 939 minutes are used. Just put that in for x and solve for y.
y = 0.25(939) + 20
y = 234.75 + 20
y = 254.75
1)-8(-2x+6)+(-10)
16x-48-10
16x-50
2) 9(x-8)-17x
9x-72-17x
-8x-72
Answer:
<em>Lisa borrowed $8,500</em>
Step-by-step explanation:
<u>Simple Interest
</u>
Occurs when the interest is calculated on the original principal of a loan only.
Unlike compound interest where the interest earned in the compounding periods is added to the old principal, simple interest only considers the principal to calculate the interest.
The interest earned is calculated as follows:
I=Prt
Where:
I = Interest
P = initial principal balance
r = interest rate
t = time
Lisa took out a loan for t=5 months and was charged simple interest at an annual rate of r=4.8% = 0.048. She paid interest for I=$170.
We need to convert the time to years (there are 12 months per year):
t = 5 /12 years.
The formula must be solved for P:

Substituting:


Lisa borrowed $8,500