Michelle correctly solved a linear equation and the last line of her work was: 1 = 2
2 answers:
The equation has no solutions.
If, after a correct and legit manipulation, an equation turns into a false statement, than the original equation had no solutions.
It's easy to build an example: start with the equation
It is clear that this equation has no solutions: we can't get the same result by adding 1 and 2 to the same number! In fact, we can subtract x from both sides (which is a totally legit operation) and get
Which is a false statement, reflecting the fact that the equation had no solutions to begin with.
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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