Use the Remainder Theorem to find the remainder: (16x^4 – 8x^3 – 4x + 1) ÷ (2x + 1) 3
1
-1
5

5

Step-by-step explanation:

This illustrates the Remainder Theorem. If a polynomial f(x) is divided by x−a , the remainder is the constant f(a) , and f(x)=q(x)⋅(x−a)+f(a) , where q(x) is a polynomial with degree one less than the degree of f(x) . Synthetic division is a simpler process for dividing a polynomial by a binomial.

It will take 9.33 years longer with simple interest than compound interest.

Step-by-step explanation:

Let the amount for investment be $1000.

Formula for simple interest :

A = P( 1+ rt )

A = 1000( 1 + 0.03 × 1 )

A = 1000 ( 1.03) = 1030

In one year the interest will be $30.00 for $1,000.

To double your money it will take years = 1000 ÷ 30 = 33.33 years

To calculate how much time it will take to double your money at 3% compound interest, we will use rule of 72.

Formula for Rule of 72  =  

So we put the values : = 24 years

It will take 24 years with 3% of compound interest and 33.33 years with 3% of simple interest.

24 - 33.33 = 9.33 years longer with simple interest.