57. carmela’s annual salary in year n can be modeled by the recursive sequence cn+1 = 1.05 cn, where c0 = $75,000.
c. find an explicit formula for a sequence that represents carmela’s salary.

Step-by-step explanation:

Given : Carmela’s annual salary in year n can be modeled by the recursive sequence , where = $75,000.

It is a geometric sequence with common ratio r= 1.05

Explicit formula for geometric sequence:-

An explicit formula for a sequence that represents Carmela’s salary will be:

stops on an even number.

e^-kt = n/n0 = 0.79  

-kt = ln 0.79  

t = - ln 0.79/0.0001  

= 2357 years

step-by-step explanation: