Can someone help me with a few questions, please?

1. Identify the initial amount a and the growth factor b in the exponential function.
f(t)=1.4^t

*a=1, b=0.4
*a=1.4, b=0
*a=1.4, b=t
*a=1, b=1.4

2. Find the balance in the account after the given period.
$4000 principal earning 6% compounded annually, after 5 yr

*$6,726.28
*$5,352.90
*$5,395.40
*$7,716.74

Question

Can someone help me with a few questions, please?



1. Identify the initial amount a and the growth factor b in the exponential function.
f(t)=1.4^t

*a=1, b=0.4
*a=1.4, b=0
*a=1.4, b=t
*a=1, b=1.4

2. Find the balance in the account after the given period.
$4000 principal earning 6% compounded annually, after 5 yr

*$6,726.28
*$5,352.90
*$5,395.40
*$7,716.74

solomonzelman · Answer

$f(t)=a\times (b)^{\large t}=1\times (1.4)^t$

solomonzelman · Answer

a = ?
b = ?

elcna · Answer

I'm still confused, sorry :/ @SolomonZelman

solomonzelman · Answer

Well, the growth "b" is the base of the exponential function, right?
What is the base of the exponential function in your case?

And the coefficient in front of (1.4)$\large ^t$  is 1. (just like anytime when
you have f(x)=x, the coefficient in front of x would be 1).

solomonzelman · Answer

(this coefficient in front of (1.4)$\large ^t$ is the initial value/amount)

elcna · Answer

B?