Taylor want to help to pay for college for her newborn nephew. She places $2,000 into a savings account that pays 10% interest that is compounded monthly. How much will be in the account in 18 years?

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At the end of 18 years, there will be $45,200 in the savings account.

Step-by-step explanation:

Step 1; First we must calculate how much interest there is in total over 18 years. The monthly interest rate is 10% × 12 = 120% i.e. 120% of $2,000 which equals $2,400. As the years pass, more and more will be put into the account due to interest. After 18 years, there will be an interest of 2,160% (120% per year * 18 years) of the initial amount.

Step 2; We must find the money due to interest and add it with the money that was put in initially. The interest amount is 18 times the $2,400 which was put in. The interest equals $43,200. With this, the initial $ 2,000 is added which comes to a total of $45,200

(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

175

step-by-step explanation:

2 inches x 10 miles = 200 miles - 3 inches = 175