Taylor scuff leased a new sports car and is certain she can keep under the 12,000 miles allowed a year. the $2,200 due at signing includes the title and license fee. her monthly lease payments are $700 a month. if the total lease cost is $27,400, for how many months does the lease last?

The number of months  does the lease last are 36 months.

Step-by-step explanation:

Let us assume that the number of months be x.

As given

Taylor Scuff leased a new sports car and is certain she can keep under the 12,000 miles allowed a year.

The $2,200 due at signing includes the title and license fee.

Her monthly lease payments are $700 a month.

If the total lease cost is $27,400.

Than the equations becomes

2200 + 700x = 27400

700x = 27400 - 2200

700x = 25200

x = 36

Therefore the number of months  does the lease last are 36 months.

answer

false

explanation

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let's call the solutions x₁ = (5 - 2√7)/3 and x₂ = (5 + 2√7)/3

then the equation is (x-x₁)(x-x₂) = 0

if you fill that in you get a lot of numbers which you can recognize as ax²+bx+c=0.

step-by-step explanation:

you can see that a=1 (there is just an x²)

b = (-5 -2√7 + 2√7 - 5)/3 = -10/3

c = -2√7)/3 ) * (-5+2√7)/3) = -1/3

so your answer is 3x^2 – 10x – 1 = 0