Tom opens a bank account and makes an initial deposit of $15,000. the banker tells tom that he is going to receive an annual rate of 3.5% on his investment. find the bank balance assuming tom leaves the account untouched for 15 years. in your final answer, include all of your calculations.

His balance will be $ 25,130.232( approx )

Step-by-step explanation:

Since, the future value of an amount that is increasing per period,

Where, P is the principal amount,

r is the rate per period ( in decimal ),

t is number of periods,

Here, P = $ 15000,

r = 3.5 % = 0.035,

t = 15 years,

By substituting the values in the above formula,

The Tom's bank balance after 15 years is,

if the eqn of the parabola is f(x) = (x-4)(x+2), we need to mult. this out to find the coordinates of the vertex.

then f(x) = x^2 + 2x - 4x - 8, and f(x) = x^2 - 2x - 8.

one way in which you can find the vertex is to calculate x = -b / (2a).   here, that comes to

        )

x = = 1.   f(1) = 1^2 - 2(1) - 8 = - 9.   vertex is at (1, -9).

        2(1) 

find another point on the curve:   let x=0, for which y=-8.   then (0, -8) is on the curve.   plot the vertex and this point and draw a smooth parabola thru both.

hope this