Mia takes a job with a starting salary of $40,000 for the first year. she earns a 3% increase each year. write an equation for the partial sum of the geometric sequence used to model the situation and explain what an, n, sn, and r represent (use a_n to represent an).

The partial sum that models the situation is Sn=a1(1 – rn)/(1 – r).

n = number of years Mia works this job

an = Mia’s salary during her nth year

Sn = total amount Mia earns after n years

r = percent increase, represented as a decimal, plus 1, because the total salary is needed and not just the amount of each increase

Step-by-step explanation:

step-by-step explanation:

the original amount doesn't ''re just looking for the time it takes for 1/2 of the substance to we have

(1/2) =)     take the ln   of both sides

ln (1/2)   = )   and we can write

ln(1/2) = ) lne     and lne   = 1     so we have

ln(1/2) = -.1092t     divide both sides by -.1092

t = ln(1/2)/-.1092 = about 6.347 days = about 6.3 days (rounded)

were is the equation