Anita had $400 in her savings account when she went to college. her parents will add $200 to her account each month.
miguel had $25 in his savings account. his parents will double the amount in his account each month.
if anita and miguel do not take any money from their accounts, whose account will grow faster? explain why.

Miguel's account will grow fast.

Step-by-step explanation:

It is given that:

Let g(t) represents the function that represent the amount of money in Anita's account in 't' months.

Hence, the function g(t) is given by:

Let f(t) represents the function that represent the amount of money in Anita's account in 't' months.

Hence, the function g(t) is given by:

Clearly we could observe that the amount of money in Anita's account have a linear growth and the amount of money in Miguel's account has a exponential growth and we know that exponential function has a more increase i.e. it increases faster than the linear function.

Hence,

Miguel's account will grow fast.

the polynomial is a perfect square trinomial of the form a^2-2ab+b^2:

option a. true

step-by-step explanation:

9x^2-12x+4

comparing with the form a^2-2ab+b^2

1.) a^2=9x^2

solving for a: square root both sides of the equation:

sqrt(a^2)=sqrt(9x^2)

a=sqrt(9) sqrt(x^2)

a=3x

2.) b^2=4

solving for b: square root both sides of the equation:

sqrt(b^2)=sqrt(4)

b=2

to be a perfet square trinomial 2ab must be equal to 12x. let's check:

2ab = 2 (3x) (2)

2ab = 12x

correct