Judah is going to deposit $5,000 in an account that earns 4% interest for 20 years. How much more interest will he earn if the account earns annual compound interest rather than annual simple interest?

If the account earns annual compound interest rather than annual simple interest, the account earns extra $1955.62

Step-by-step explanation:

Given :

Principal amount P = $5000

Annual interest rate r = 4% = 4/100 = 0.04

time t = 20 years

First we have to calculate account balance when account earns annual simple interest. We know that the formula is

A = P(1+rt)

   = 5000 (1+ (0.04 x 20))

   = 5000 (1.8)

   = 9000

Interest earned for annual simple interest = 9000 - 5000

                                                                        = 4000

Now we will calculate account balance when account earns annual compound interest. The formula is

A = P

Since here interest is compounded annually, n =1, hence we get

A = P

   = 5000

   = 10955.62

Interest earned for annual compound interest = 10955.62 - 5000

                                                                                = 5955.62

The extra interest earned = 5955.62 - 4000

                                          = 1955.62

Hence f the account earns annual compound interest rather than annual simple interest, the account earns extra $1955.62

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.