Answer:
<em>Mrs. Adams will earn $3,120 of interest at the end of year 8.</em>
Step-by-step explanation:
<u>Simple Interest</u>
In simple interest, the money earns interest at a fixed rate, assuming no new money is coming in or out of the account.
We can calculate the interests earned by an investment of value A in a period of time t, at an interest rate r with the formula:

Mrs. Adams deposited an amount of A=$12,000 into an account that earns an annual simple interest rate of r=3.25%. We must find the interest earned in t=8 years. The interest rate is converted to decimal as:

The interest is then calculated:

Mrs. Adams will earn $3,120 of interest at the end of year 8.
Answer:
Correct answer: Two decimal places to the right
Step-by-step explanation:
We will set the classic proportion:
29,235 - 100%
371 - x%
29,235 : 371 = 100 : x ⇒ 29,235 · x = 371 · 100
x = (371/ 29,235) · 100 = 0.0127 · 100 = 1.27%
x = 1.27%
You divide first number by the second and then multiply with 100,
which is the same as moving the decimal point two places to the right.
God is with you!!!
Answer:
Step-by-step explanation:
is already simplified.
Answer:
Two imaginary solutions:
x₁= 
x₂ = 
Step-by-step explanation:
When we are given a quadratic equation of the form ax² +bx + c = 0, the discriminant is given by the formula b² - 4ac.
The discriminant gives us information on how the solutions of the equations will be.
- <u>If the discriminant is zero</u>, the equation will have only one solution and it will be real
- <u>If the discriminant is greater than zero</u>, then the equation will have two solutions and they both will be real.
- <u>If the discriminant is less than zero,</u> then the equation will have two imaginary solutions (in the complex numbers)
So now we will work with the equation given: 4x - 3x² = 10
First we will order the terms to make it look like a quadratic equation ax²+bx + c = 0
So:
4x - 3x² = 10
-3x² + 4x - 10 = 0 will be our equation
with this information we have that a = -3 b = 4 c = -10
And we will find the discriminant: 
Therefore our discriminant is less than zero and we know<u> that our equation will have two solutions in the complex numbers. </u>
To proceed to solve the equation we will use the general formula
x₁= (-b+√b²-4ac)/2a
so x₁ = 
The second solution x₂ = (-b-√b²-4ac)/2a
so x₂=
These are our two solutions in the imaginary numbers.
Answer:
B) If you don't do you homework, then you can't go to the movies