Money was placed in a savings account and earned 3/4% interest paid annually. Samantha, Tony and Anuyia each wrote an equation to show the amount of money in the account after one year with a balance of M dollars. T represents the total amount of money in the account. Samantha's Equation T = 1.075M
Tony's Equation: T= M + 0.0075M
Anuyia's Equation: T= M(1 + 0.0075M)​

Step-by-step explanation:

https://youtu.be/dQw4w9WgXcQ

x^2 + 81

we can factor this using difference of square binomials.

rewrite the equation:

x^2 - (-81)

factor:

(a^2 - b^2) = (√a^2 + √b^2)(√a^2 - √b^2)

(x^2 - (-81) = (x + √-81)(x - √-81)

we can remove the - from under the radical by multiplying it by i.

(x^2 - (-81) = (x + i√81)(x - i√81)

(x^2 - (-81) = (x + 9i)(x - 9i)

we can check our answer by using foil:

x^2 - 9ix + 9ix - 81i^2

x^2 - 81^2

i^2 = -1

x^2 + 81