Write a function that represents the balance after t years.

$2000 deposit that earns 5% annual interest compounded quarterly

y =

Write a function that represents the balance after t years.

$2000 deposit that earns 5% annual interest compounded quarterly

y =

Answer:[tex]Y=2,000[1.0125]^{4t}[/tex]

Step-by-step explanation:Given:Amount deposit P = $2,000

Time t = t year (yearly) = 4t(quarterly)

Rate r = 5% annual = 5/4 = 1.25% (quarterly) = 0.0125

Find:Amount after t year (Y)

Computation:A = P[1+r]ⁿ

So,

[tex]Y = 2,000[1+0.0125]^{4t} \\\\Y = 2,000[1.0125]^{4t}[/tex]