Question

Justine earned $26,000 during her job at city hall. After a year, she recieved a 3% raise. Find her total earnings during the first five years on the job.

Answer 1

does she receive a 3% raise each year, or just after the first year?

Answer 2

Just after the first year.

Answer 3

3% of $26000 is \(0.03\times26000\) so a 3% raise would be\[26000+0.03(26000)\]\[=26000(1+0.03)\]\[=1.03\times 26000\]

Answer 4

make sense?

Answer 5

So, the answer would be 26,780?

Answer 6

Lol

Answer 7

nope. That's what her salary will be per year after the raise.

Answer 8

she works 5 years, so you will need to add them all up. so if she works 4 years at the new salary and one at the old you need to add 4 of the new ones and one of the old. 4 times the old salary is\[4\times(1.03\times 26000)=4.12\times26000\]

Answer 9

so\[26000+4.12\times 26000\]\[=26000\times(1+4.12)\]\[=5.12\times26000\]

Answer 10

see what's going on?

Answer 11

kind of

Answer 12

it would be a more interesting question if she got a raise each year.

Answer 13

ok if you make $5 a day for 5 days you make $25 right?

Answer 14

\(5+5+5+5+5=5\times 5=25\)

Answer 15

but if you make 5 dollars the first day and 6 dollars on the last day you make\(5+6+6+6+6=5+4\times6=29\)

Answer 16

that's all you are doing here. you just haven't been told how much she makes in the last 4 years, you have to calculate that from the percent.

Answer 17

Oh! Okay! Thank you, I got it!