SOLUTION: A Daily Tripling Salary: Suppose someone offered you a job for 10 days under the following conditions. You will be paid $5 for the first day, $15 for the second, and $45 for the t

Algebra.Com
Question 474095: A Daily Tripling Salary:
Suppose someone offered you a job for 10 days under the following conditions. You will be paid $5 for the first day, $15 for the second, and $45 for the third, and so on, tripling your previous day's salary each day. How much would you earn altogether?
Found 2 solutions by htmentor, ewatrrr:
Answer by htmentor(1343)   (Show Source): You can put this solution on YOUR website!
A Daily Tripling Salary:
Suppose someone offered you a job for 10 days under the following conditions. You will be paid $5 for the first day, $15 for the second, and $45 for the third, and so on, tripling your previous day's salary each day. How much would you earn altogether?
=================================================
The salary represents a geometric sequence with common ratio 3.
The sum of the 1st n terms of a geometric sequence is
where r = the common ratio, a1 = the 1st term
So the total salary after the 10th day would be:

This gives S_10 = $147,620
Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!
 

Hi,

 

 5

15

45

135

405

1215

3645

10935

32805

98415

 dollars earned altogether

 

RELATED QUESTIONS


Suppose you are offered a job for the month of Sept (it has 30 days) with the following... (answered by Boreal)

Suppose that you are offered a job with a 6,600 salary a month with guaranteed increase... (answered by Fombitz,ikleyn,MathTherapy)

suppose your job pays $7.50 an hour. each year, you will be offered a 1.5% raise. how... (answered by ankor@dixie-net.com)

During your summer vacation, you are offered a job at which you can work as many days as... (answered by scott8148)

Suppose you are offered a job with AT&T at $37,000 per year with a
guaranteed raise of... (answered by richwmiller)

Suppose that Randy Morgan is offered a job at $1600 per month with a guaranteed increase... (answered by mananth)

Good Evening, I could use a little help with how to solve for a and b.  Please help with... (answered by stanbon)

You are offered two jobs. One initially pays $25,000 annually, and your salary
will grow  (answered by solver91311)

You have accepted a job for which your annual salary will br $27236.this salary includes... (answered by JulietG)