Answer:
Step-by-step explanation:
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We will determine the roots of the given equation
by rational root theorem.
Rational root theorem states:
"If P(x) is a polynomial with integer coefficients, then p is a factor of the constant term of P(x) and q is a factor of the leading coefficient of P(x).Then all the possible values of
are the factors of the given polynomial".
Therefore, the given equation is:
![5x^3-7x+11=0](https://tex.z-dn.net/?f=5x%5E3-7x%2B11%3D0)
The factors of the leading coefficient of
= q = ![\pm 1, \pm 5](https://tex.z-dn.net/?f=%5Cpm%201%2C%20%5Cpm%205)
The factors of the constant = p = ![\pm 1, \pm 11](https://tex.z-dn.net/?f=%5Cpm%201%2C%20%5Cpm%2011)
So, the possible values of
.
Therefore, the roots of the given polynomial are
.
Answer: He will pay $630 over the course of the loan.
Step-by-step explanation:
Formula for simple interest :
S.I. = PRT, where P=principal amount , R =rate of interest ( in decimal), T=time (in years)
As per given ,
P = $1,400 , t = 5 years , r = 9% = 0.09
Simple interest = (1400) x (0.09) x (5)
⇒ Simple interest = $ 630
Hence, he will pay $630 over the course of the loan.
Answer:
![11\sqrt{2}\approx15.55](https://tex.z-dn.net/?f=11%5Csqrt%7B2%7D%5Capprox15.55)
Step-by-step explanation:
The length of the diagonal of a square of side
is
.