Math Answers

A new car is purchased for 15300 dollars. The value of the car depreciates at 14.25% per year. What will the value of the car be, to the nearest cent, after 6 years?

Understanding the Z-score

Solve the following problem.

1. X = 50, s = 5, X(mean) = 40

2. X = 40, o = 8, u(mean) = 52

3. X = 36, s = 6, X(mean) = 28

Probability of x=10?

Probability of x=10?

Let P (x) = 2x^4+15x^3+31x^2+20x+4

(a) Determine whether (x −1) is a factor of P (x). (2)

(b) Find all the possible rational zeros of P (x) by using the Rational Zeros Theorem. (2)

(c) Solve P (x) = 0. (4)

Use Descartes’ Rule of Signs to determine the possible number of positive, negative and

imaginary zeros of P (x).

(i) P (x) = 2x^3+x^2-3x+6.

Use Descartes’ Rule of Signs to determine the possible number of positive, negative and

imaginary zeros of P (x).

(i) P (x) = 2x^5+x^4+x^3-4x^2-x-3.

Use Descartes’ Rule of Signs to determine the possible number of positive, negative and

imaginary zeros of P (x).

(i) P (x) = 2x

5 +x

4 +x

3 −4x

2 −x −3.

Let P be the property “is a prime number” and O be the property “is an odd integer.” Consider the sets A = {x ∈ N : P(x)} and B = {x ∈ N : O(x)}. 1. Examine A and B with respect to the subset relation. What can you conclude? Justify your answer. 2. Are A and B equal? Justify your answer.

Find the angle nearest to the whole number between the surfaces x2+y2+z2=9 and z=x2+y2-3 at the point (2, -1, 2).