I may sound super pathetic, but if a guy complements ur shirt does that mean he thinks ur cute
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Answer:
Yes; she will have $4008 for other expenses.
Step-by-step explanation:
First you find out how much she saved by multiplying 350 by 36 as she saved for 3 years which is 36 months.
After that you need to work out the amount she needs in total for her tuition by multiplying 4 by 3723 which is the amount needed per year.
If her parents add to her account half the amount she saved that means that they give her an additional 6300 as that's half of 12600.
This means she has 18900 and if you take away 14892 you will be left with 4008 for expenses.
This one is quite the deal, but we can begin by distributing the negative on the denominator and getting rid of the parenthesis:
See how the denominator now is more a simplification of like terms, with this I mean that you operate the numbers with an "i" together and the ones that do not have an "i" together as well. Namely, the 7 and the -4, the -2i with the -9i.
Therefore having the result:
Now, the
This means that we get the result 7i for the numerator.
In order to rationalize this fraction even further, we have to remember an identity from the previous algebra classes, namely:
The difference of squares allows us to remove the imaginary part of this fraction, leaving us with a real number, hopefully, on the denominator.
See, all I did there was multiply both numerator and denominator with (3+11i) so I could complete the difference of squares.
See how
I'll let you take it from here, all you have to do is simplify it further.
The simplification is quite straightforward, the numerator distributed the 7i. Namely the product
You should know from your classes that i^2 = -1, thefore the numerator simplifies to
You can do it as a curious thing, but simplifying yields the result: