Tiffany has $4,000 andsaves $50 per month. Sarah's savings baland after x months is modeled by the function f(x) = 3,000(1.01)*. If Tiffany and Sarah begin saving at the same time, after approximately how many months will the balances of their savings be the same?

The balances  of their savings will be the same approximately after 122 months

Step-by-step explanation:

Let

x ----> the number of months

f(x) ----> Sarah's savings balance

g(x) ---> Tiffany's savings balance

we know that

Tiffany's savings balance

The function g(x) is a linear function

The function g(x) in slope intercept form is equal to

Sarah's savings balance

The function f(x) is a exponential growth function

The function f(x) is equal to

Solve the system by graphing

Remember that the solution of the system of equations is the intersection point both graphs

using a graphing tool

The solution is the point (122,10,099.83)

see the attached figure

therefore

The balances  of their savings will be the same approximately after 122 months

investment b is an ordinary annuity with $3,909.64 in the account after one year.

step-by-step explanation: