Enter your answer and show all the steps that you use to solve this problem in the space provided.
Yvonne put $4,000 in a savings account. At the end of 3 years, the account had earned $960 in simple interest.
How much does she have in her account at the end of 3 years?
At what annual simple interest rate did the account grow? Show your work.
How many more dollars would she have in her account if the interest rate were 1% greater? Show your work

Step-by-step explanation:

given:

savings account or the Principal = $4,000

interest earned in 3 years = $960

find:

1.  How much does she have in her account at the end of 3 years?

2. at what annual simple interest rate did the account grow?

3. How many more dollars would she have in her account if the interest rate were 1% greater?

solution:

1.  P + I = total in 3 years

=  $4,000 + $960

2. Annual simple interest:   I = P r t

where

I = interest = $960

P = Principal = $4,000

r = rate

plugin values into the formula:

$960 = $4,000 ( r ) 1 year

r = 0.08  ( 8 % )

so the annual simple interest = $4,000 ( 0.08 ) 1

3.  8% rate + 1% = 9%;    I = P r t

I = $4,000 ( 0.09 )3

I = $1080

so the difference = $1080 - $960

answer: c. is your answer

step-by-step explanation: get me a black leather coat

let's call the solutions x₁ = (5 - 2√7)/3 and x₂ = (5 + 2√7)/3

then the equation is (x-x₁)(x-x₂) = 0

if you fill that in you get a lot of numbers which you can recognize as ax²+bx+c=0.

step-by-step explanation:

you can see that a=1 (there is just an x²)

b = (-5 -2√7 + 2√7 - 5)/3 = -10/3

c = -2√7)/3 ) * (-5+2√7)/3) = -1/3

so your answer is 3x^2 – 10x – 1 = 0