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Mathematics 16 Online
princeevee:

i need some help please

princeevee:

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princeevee:

@Vocaloid

Vocaloid:

in general % error = 100*(actual-predicted)/predicted

Vocaloid:

this can get a bit fuzzy because some teachers want you to report either positive or negative percentages while some want only positive percentages

princeevee:

uh...i'm confused still..

Vocaloid:

just start by plugging the numbers into this % error = 100*(actual-predicted)/predicted

princeevee:

so 100*(5 1/2)/ 6 7/8?

Vocaloid:

keep in mind the numerator is (actual - predicted) not just actual

Vocaloid:

\[\frac{ 5\frac{ 1 }{ 2 }-6\frac{ 7 }{ 8 } }{ 6\frac{ 7 }{ 8 } }*100\]

princeevee:

-20?

Vocaloid:

good after doing a bit of research it seems like most people agree that percent error should be positive, so you would just take the absolute value of -20 to get 20 as the solution

princeevee:

so just 20

Vocaloid:

yes

princeevee:

says it's incorrect.

Vocaloid:

.. oh? does -20 work?

princeevee:

no..

princeevee:

...

Vocaloid:

hm :/ wouldn't know what it would be besides those two options do they give you a different formula?

princeevee:

not at all, though i just simplified the equation

Vocaloid:

strange. I can ask for another opinion but it's probably an error with the system/answer key if you have other questions I'd be happy to help

princeevee:

i do, but they might not be the ones you can answer

Vocaloid:

oh. well, it doesn't really hurt to post, either I or someone else might take a look

princeevee:

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Vocaloid:

oh, I would just calculate 6.2% of 47,000 and 1.45% of 47,000 and then just add the results together, however i don't know if the problem is that simple

princeevee:

3595.5

Vocaloid:

yeah that's what I got as a tentative solution, I wouldn't try unless you have multiple attempts left

princeevee:

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Vocaloid:

technically 0.075 rounds up to 0.08 not 0.07 so just change the last digit to an 8

princeevee:

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princeevee:

now this one is just strange

princeevee:

the answer is 7 but...

Vocaloid:

it's possible that the source material for this question is outdated. hm.

princeevee:

i'm thinking it's eight

princeevee:

wait, it cant be since the source is from 2018

Vocaloid:

I wouldn't really know either way so go with your best instinct

princeevee:

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Vocaloid:

I ***Believe*** you would just subtract 1377 minus the federal, state, and FICA tax

princeevee:

so just subtract 1337 with the taxes

Vocaloid:

yes

princeevee:

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princeevee:

so it's 7.65% of this number?

princeevee:

so 83.82?

Vocaloid:

nah, the FICA tax is taken from the original income so 1377 - 41.31 - 200 - (7.65/100)*1377

princeevee:

1030.34?

Vocaloid:

.35 after rounding but yes

princeevee:

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Vocaloid:

it wants the least amount of tax, so you'd use the least income possible (24,000) so just calculate (6.2 + 1.45)% of 24,000

Vocaloid:

actually yeah that's how you'd do it, proceed

princeevee:

1836

princeevee:

that it?

Vocaloid:

yea

princeevee:

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Vocaloid:

good

princeevee:

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Vocaloid:

quick google search tells me sales tax is considered regressive because it is a larger share of income at lower-income brackets https://investinganswers.com/financial-dictionary/tax-center/sales-tax-1533

Vocaloid:

if your notes/textbook/whatever says its progressive then go with progressive

princeevee:

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Vocaloid:

good

princeevee:

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Vocaloid:

quick search tells me that should be good

princeevee:

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Vocaloid:

order is important, "quotient of z and 9" means z/9 because z comes first

princeevee:

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Vocaloid:

good attempt but it wants 2 consecutive odd integers if you just add 1 to an odd integer you'll get an even integer so to turn odd integer n into the next highest odd integer, you gotta add 2 to get n + 2

princeevee:

so bottom left

Vocaloid:

yes

princeevee:

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Vocaloid:

following the logic from the previous problem if an even integer is x, the next consecutive even integer is (x+2) not 2x

princeevee:

bottom right again?

Vocaloid:

there's no 2x term, it's just first even integer = x second even integer = x + 2 x + (x+2) = 42

princeevee:

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Vocaloid:

well you'd want to somehow get "x" by itself, the first obstacle is the +10 standing in the way so do the opposite of + 10

princeevee:

so subtract

Vocaloid:

exactly, you'd just subtract 10

princeevee:

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Vocaloid:

let x be the original # of high school seniors "1/12 of the seniors signed up for debate" so start with (1/12)x "7 seniors quit" so subtract 7 "leaving 18" so putting it all together (1/12)x - 7 = 18 solve for x

princeevee:

300

Vocaloid:

good

princeevee:

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Vocaloid:

might have made a mistake with your equation somewhere let x = Jimmy's dollars x + 7 = Tom's dollars x + (x+7) = 71 it wants tom's dollars so solve for x, then find (x+7)

princeevee:

i subtracted 7 from the original and divided by 2

princeevee:

i got 64, and half that is 42

princeevee:

add 7 and that's 49

princeevee:

right?

Vocaloid:

71 - 7 = 64 64/2 = 32 32 + 7 = 39 not 49

princeevee:

i just realized my mistake,

princeevee:

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Vocaloid:

20 won't work because 20 is not a multiple of 12 start listing out multiples of 12 and stop when you get a multiple that is divisible by both 2 and 5

princeevee:

60?

Vocaloid:

perfect, so 60 is your sol'n

princeevee:

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Vocaloid:

good

princeevee:

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Vocaloid:

we'll need two equations, one for the total # of coins and one for the total $$$ let p = num. of pennies and d = num. of dimes "twice as many dimes as pennies" so d = 2p "total value of 2.31" so (0.01)p + (0.10)d = 2.31, since obv. a penny is 0.01 of a dollar and a dime is 0.10 of a dollar

Vocaloid:

since we know that d = 2p, we can replace "d" with "2p" in the second equation, therefore (0.01)p + (0.10)d = 2.31 becomes (0.01)p + (0.10)(2p) = 2.31 at this point you can solve for p the question, however, asks for dimes, so you just have to double the number of pennies to get dimes

princeevee:

22?

Vocaloid:

good

princeevee:

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Vocaloid:

well you have a -4, right? so what can you add to "eliminate" it?

princeevee:

positive 4?

princeevee:

wait or is it a negative?

Vocaloid:

well, if we subtracted -4 we would just get m-8=14 which doesn't help but if we add 4 to both sides we get m = 22 which solves the equation so adding positive 4 is the best course of action here

princeevee:

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Vocaloid:

notice you have 7 = -13 + d if we "take away" the -13 we would just get d by itself on the right side so you can subtract -13

princeevee:

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Vocaloid:

3c = 9 we want "c" by itself, so we have to "undo" the multiplication by 3 the opposite of multiplication is, of course, division, so you can just divide both sides by 3 to get c by itself

princeevee:

would that still be 3 though?

Vocaloid:

good, 9/3 = 3

princeevee:

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Vocaloid:

as a shortcut method if you have a situation like this you can switch the number on the left with the denominator in other words, you can switch a and c and the equation still holds

princeevee:

bottom left?

Vocaloid:

good

princeevee:

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Vocaloid:

P = 2L + 2W you're given P= 26 and L = 12, plug in, solve for W

princeevee:

1?

Vocaloid:

good

princeevee:

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Vocaloid:

good

princeevee:

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Vocaloid:

good

princeevee:

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Vocaloid:

good

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