Suki invested $20,000, some at 5% interest and the rest at 10%. How much did she invest at each rate if she received $1,400 in interest in one year?

Suki invested $12,000 at 5% and $8,000 at 10%

Step-by-step explanation:

Let the amount invested at R1 be P1 and that invested at R2 be 20000 - P1

⇒ Total Interest = P1×R1×T/100 + (20000 - P1)×R2×T/100 (since Simple Interest = PRT/100)

⇒ Total Interest = T/100 [P1R1 + (20000 - P1)R2] (Taking out the common factors)

⇒ 1400 = 1/100 (5P1 + 20,000 × 10 - 10P1)

⇒ 140,000 = -5P1 + 200,000

⇒ 5P1 = 60,000

⇒ P1 = 60,000/5 = $12,000

⇒ P2 = 20,000 - P1 = $8,000

(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

where is the figure