Answer:
Step-by-step explanation:
Rational number between 2 and 3 =
Now, find the rational number between 2 and 5/2
Rational number between 2 and 5/2 =
Rational number between 5/2 and 3 is
Rational numbers between 2 and 3 are
9/4 , 5/2 , 11/4
You have a $45,500 annual gross income and exemptions totaling $3,000. If the state tax is 1.5% on the first $2,500 and 3% on am
1 answer:
Total annual gross income = $45500
Total exemptions = $3000
So, total taxable income =
For an amount up to $2500, rate of interest = 1.5%
So , = 37.50
For amount above $2500, rate of interest is = 3%
Hence, amount to be calculated on 3% is
So 3% of 40000 = =1200
Hence, total tax becomes = = 1237.50
Hence annual tax is $1237.50
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Answer:
Step-by-step explanation:
We have the following theorem, if f is a polynomial with real coefficients, we can factor it completely in factors of the degree at most 2.
Consider first a polynomial of degree two, hence it is a polynomial of the form . The cuadratic formula tells us that the solutions are of the form
.
Note that square root, over the reals, tells us that the are only real solutions if . If that is not the case, say it's negative, the solution are complex. Then, the solutions are of the form
. NOte that this means that if we have a complex number of the form a+bi that is a solution, then the number a-bi (who is called the complex conjugate) is also a solution.
Recall that when we have a polynomial f(x) whose a zero is the number c, then we can factor f as follows f(x) = (x-c) * p(x) where p(x) is another polynomial of lesser degree .
So far, we know that -3 and 4-i are zeros of the function f. Note that we are missing two zeros. But, since complex numbers are zeros of polynomial only by pairs (that is the number and its conjugate are zeros), then, we must have that one of the missing 2 zeros is a real number. We have 4-i as a zero, then, its complex conjugate must be also a zero, i.e 4+i is a zero.