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TSI Math: Calculating Ellie's Original Wages After Three Raises 5 Views
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Description:
Ellie has been working the same job for the past three summers. Each summer, she's earned a 10% raise. Her current wage is $16 per hour. What was her hourly wage three summers ago?
Transcript
- 00:02
Okay sy match members third of five in this section
- 00:05
Here we go here's the question Ellie has been working
- 00:07
the same Job for the past 3 summers Each summer
- 00:10
she's earned a ten percent raise her current wages Sixteen
- 00:13
bucks an hour What was her hourly wage three summers
Full Transcript
- 00:17
ago Well let's see let's let x be eli's original
- 00:26
hourly wage which we don't know yet when she first
- 00:29
began working right someone's got to pay the rent for
- 00:31
mom You know she's off gallivanting All right well after
- 00:34
eli's first ten percent raise her new wage became acts
- 00:38
that old wage plus point one ex writer one point
- 00:41
one x and then each raise multiplies her Hey by
- 00:44
one point one kind of compounds away right So since
- 00:47
she had three raises while the equations here one point
- 00:50
one time one point one one point one times x
- 00:54
is sixteen so we got one point three three one
- 00:57
x equals sixteen and we've gotta divide both sides by
- 01:02
one point three three one and we get well Acts
- 01:05
equal 16 of our hand and that's twelve point o
- 01:08
too So eli's hourly wage three summers ago was twelve
- 01:12
point Oh too And well the answer there is a
- 01:15
and the finance e way to do this would have
- 01:17
just been to take her current number sixteen dollars figure
- 01:21
Put it in the numerator and divide by the number
- 01:23
of previous years Calm pounded that you're going to do
- 01:26
discount that money back to it's a discounted cash flow
- 01:29
trick and that would have been one point One two
- 01:31
The third power gets you the same answer but looks
- 01:35
way cooler on a test All right that's it it's 00:01:37.124 --> [endTime] a twelve oh two
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