Select the two values of x that are roots of this equation. 3x-5=2x^2
2 answers:
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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
Step-by-step explanation:
In order to find the number of solutions, we have to expand both sides out first.
First, expand 3(x-2), which will obtain 3x-6.
Next, expand (1/2)(6x-2), which gives 3x - 1.
The result at this point should be as shown below:
Now, we would shift all x terms to the left and all number terms to the right.
After simplifying, the final equation would be:
This is a linear equation and it has one solution.