$400 interest is earned on a principal of $2000 at a simple interest rat 5% interest per year. for how many year was the principal invested

4 Years.

Step-by-step explanation:

Principle ⇒ 2000

Interest ⇒ 400

Rate ⇒ 5%

Time ⇒ _

Simple interest ⇒ p * x * t / 100

⇒ 400 = 2000 * 5 * t / 100

⇒ 400 = 200 * 5 * t / 10

⇒ 400 = 20 * 5 * t

⇒ t = 400 / 20 * 5

⇒ t = 40 / 2 * 5

⇒ t = 20 / 5

⇒ t = 4

answer: x= -2y

step-by-step explanation:

(x3 + 6x2 + 2x - 6) • (x - 1)

step-by-step explanation:

polynomial long division :

3.2     polynomial long division

dividing :   x4+5x3-4x2-8x+6

                              ("dividend")

by         :     x-1     ("divisor")

dividend     x4   +   5x3   -   4x2   -   8x   +   6

- divisor   * x3     x4   -   x3            

remainder         6x3   -   4x2   -   8x   +   6

- divisor   * 6x2         6x3   -   6x2        

remainder             2x2   -   8x   +   6

- divisor   * 2x1             2x2   -   2x    

remainder               -   6x   +   6

- divisor   * -6x0               -   6x   +   6

remainder                     0

quotient :   x3+6x2+2x-6   remainder:   0