Question

A company offers a starting yearly salary of 37,000 with rises of 2,500 per year. Find the total salary over a ten-tear period

Answer 1

I think it's $395,00

Answer 2

$395,000

Answer 3

I got 59,500

Answer 4

I got...

Answer 5

Yeah I think it's that and not 62,000 if someone thinks that

Answer 6

ok I did something wrong gimmie a minute

Answer 7

Ok

Answer 8

Brb

Answer 9

ok I got 62,000

Answer 10

an = a1+(n-1)d
a10 = 37000 + (10-1)2500
a10 = 59,500 , that is how much he would make in 10th year

To find the sum of a arith seq

sn = n(a1+an)/2
sn = 10((37000+59500)/2 )
s10 = 482,500

Answer 11

that's what i got @Jim766

Answer 12

Yeah I don't know if it is 59,500, 62,000 or another answer

Answer 13

was 59,500

Answer 14

Wait...

Answer 15

if you multiply 2500 x the ten years then add 37,000

Answer 16

No wrong formula

Answer 17

for me, that is

Answer 18

I thought of a wrong formula, not anyone else

Answer 19

salary in10th year 59,500
but that is not the salary of all 10 years put together.

Answer 20

Yeah,

Answer 21

@satellite73 can you clear this up?

Answer 22

do you have to do that due it asking for the total amount of a 10 year salary?

Answer 23

Be right back

Answer 24

I think that when it says the salary over the whole period, they want all the salaries added together for each year. Key work is "over" the 10 years

Answer 25

To me that doesn't make sense because that isn't what they are really making is it?

Answer 26

@Directrix insight?

Answer 27

Yeah, that is correct

Answer 28

what part?

Answer 29

"Total" salary

Answer 30

Meaning all added up

Answer 31

can you explain why it's all added up. I am curious not trying to be a pain. LOL

Answer 32

I think they are asking what is the amount of salary change over 10 years, then add that change to the first year, but don't count the first year when adding, it was already counted. They want the "total" amount of salaries, meaning to add all of them up to get the overall salary, or money earned for 10 years. Sorry for the long message, might make it more confusing o_O

Answer 33

Brb

Answer 34

blah. I don't understand.

Answer 35

Yeah too complicated like that

Answer 36

Wonder if I did something wrong...

Answer 37

typically if all they wanted to know was how much did the guy make in the tenth year, they would say the very specifically....how much did he make in year 10 or the 10th year. Instead the chose to say find the "total salary over the ten year period"

Answer 38

that says to me to take all of his yearly salaries and add them together for the first 10 years.

Answer 39

Thank you, that was what I've been trying to say, just couldn't get it out

Answer 40

The proper way*

Answer 41

The 10th term is: $37 000 + (10 - 1) * 2 500 = 59 500.

The sum of the first ten terms is:

10*( 37 000 + 59 500 ) / 2 = $ 482 500 --> same as @Jim766

Link to formulas: http://www.regentsprep.org/Regents/math/algtrig/ATP2/ArithSeq.htm

Answer 42

okay way to go @Jim766 save the day!!!

Answer 43

Guess we're done here

Answer 44

yes sir, Thank you all for helping. I appreciate it.

Answer 45

I tried to, your welcome

Answer 46

You did help

Answer 47

Thanks for the compliment :)

Answer 48

Jim did a good job