Question

Adrian just got hired for a new job and will make $66,000 in his first year. Adrian was told that he can expect to get raises of $5,000 every year going forward. how much money in salary with Adriene make in his 26th year working at this job? round to the nearest 10th (if necessary).

Answer 1

Answer:

Adrian would make $196000 in his 26th year working.

Step-by-step explanation:

Adrian salary in first year = $66,000

As Adrian is expected to get raises of $5,000 every year going forward.

Here is the sequence of Adrian's raises:

5,000, 10000, 15000, 20000, 25000 .....

As the common difference between consecutive terms is constant.

d = 10000 -  5,000 = 5,000 ⇒ d = 15000 -  10000 = 5,000

So, Adrian's raises is in Arithmetic sequence.

a₁ = 5,000

n = 26

${\displaystyle \ a_{n}=a_{1}+(n-1)d}$

Put n = 26 to get the total amount of salary raises in Adrian's 26th year.

${\displaystyle \ a_{26}=5000+(26-1)5000}$

${\displaystyle \ a_{26}=5000+(25)5000}$

${\displaystyle \ a_{26}=5000+125000}$

${\displaystyle \ a_{26}=130000}$

Total raises amount after 26th year = $130000

Adding total raises after 26th year to the initial salary would let us figure out the total salary Adrian would make in his 26th year.

So,

Total Salary after 26th year = initial salary + total raises of 26 years

                                              = 66000 + 130000

                                              = $196000

So, Adrian would make $196000 in his 26th year working.

Keywords: arithmetic sequence, salary, raises, common difference

Learn more about word problems regarding salary from brainly.com/question/4114612

#learnwithBrainly