Applying the Compound Interest Formula
What is the total amount after 2 years?
An initial amount of $600 is invested in a compound
savings account with an annual interest rate of 3.5%.
1. Define variables
2. Substitute into formula
A = P(1+r)
3. Evaluate
What is the total amount after 4 years?
Intro

The amount is $8358.7 and the interest is $3858.7.

Step-by-step explanation:

STEP 1: To find amount we use formula:

A=P(1+rn)n⋅t

A = total amount  

P = principal or amount of money deposited,

r = annual interest rate  

n = number of times compounded per year

t = time in years

In this example we have

P=$4500 , r=7% , n=2 and t=9 years

After plugging the given information we have

A=4500(1+0.072)2⋅9A=4500⋅1.03518A=4500⋅1.857489A=8358.7

STEP 2: To find interest we use formula A=P+I, since A=8358.7 and P = 4500 we have:

1. when "a" is a root of a polynomial, (x -a) is a factor of it. for the three roots given, the factors of the desired polynomial are (x +2)(x -1/2)(x -3).

in order to make the leading coefficient be negative, we need to multiply this product by a negative number. any negative number will do, but we choose a small (magnitude) value that will eliminate the fraction: -2.

then

f(x) = -2(x +2)(x -1/2)(x -3) = -(x +2)(2x -1)(x -3)

= -(2x² +3x -2)(x -3)

= -(2x³ -3x² -11x +6)

f(x) = -2x³ +3x² +11x -6

2. a graph created by the desmos on-line graphing calculator is shown, and the zeros are highlighted.

3. as indicated in part 1, the multiplier of this equation can be anything and the zeros will remain the same. you want a negative leading coefficient, so the "anything" is restricted to any of the infinite number of numbers that will make that be the case.

t= 1/3.

hope this .

step-by-step explanation: