Answered

Discover a wealth of knowledge at Westonci.ca, where experts provide answers to your most pressing questions. Join our platform to connect with experts ready to provide detailed answers to your questions in various areas. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.

A bank charges a fee of 0.5% per month for having a checking account. Stephani’s account has $325 in it. Which function models the balance of Stephani’s account, B(t), in dollars, as a function of time, t, in months?

a: B(t) = 325(0.0995)t

b: B(t) = 325(0.005)t

c: B(t) = 0.05(325)t

d: B(t) = 325 + 12(0.005)t

Sagot :

MrRoyal

Answer:

[tex]f(t) = 325(0.995)^t[/tex]

Step-by-step explanation:

Given

[tex]r= 0.5\%[/tex] ---- Charges

[tex]a= \$325[/tex] --- Amount

Required

Represent the balance as a function

This is calculated using exponential function.

[tex]f(t) = ab^t[/tex]

Where

[tex]b = 1 - r[/tex]

So, we have:

[tex]b = 1 - 0.5\%[/tex]

[tex]b = 1 - 0.005[/tex]

[tex]b = 0.995[/tex]

So:

[tex]f(t) = ab^t[/tex]

[tex]f(t) = 325 * 0.995^t[/tex]

[tex]f(t) = 325(0.995)^t[/tex]

Thanks for stopping by. We are committed to providing the best answers for all your questions. See you again soon. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Westonci.ca is committed to providing accurate answers. Come back soon for more trustworthy information.