Chris pays a fee if the bank balance falls below $10 on the statement dae. Prior to the statement date her balance was -3.46. Then Chris made a deposit (d) in time so she does not have to pay the fee.

Kindly check explanation

Step-by-step explanation:

Given that :

Balance prior to statement date = - 3.46

Minimum bank balance to avoid penalty = $10

The amount of deposit, d made in time in other to avoid penalty fee?

Minimum amount that most have been deposited, d :

Balance prior to statement + d ≥ minimum bank balance to avoid penalty

-3.46 + d ≥ 10

d ≥ 10 + 3.46

d ≥ 13.46

Hence, the minimum amount that must have been deposited to avoid penalty is 13.46

$140.74

Step-by-step explanation:

Assuming this is a decaying exponential function, we can find a model for the depreciation in the form of v = a(b^t)

At t = 0, we get 5000 = a(b^0), which gives us a = 5000

At t = 1, we get 4000 = 5000b, such that b = 4/5

Now that our function is defined as v = 5000(4/5)^t, we can plug in t = 16 to solve for the value of the piano.

v = 5000(4/5)^16, which is approximately $140.74.