I have a math question that I don't know how to figure out. Please help?
Q. You have $1000.00. You can shop all you want without going over. Calculate sales tax at 8.2%. Do not go over $1000.00.
What is the formula to find the answer?
Please explain how I should go about finding the answer. I am terrible at math so I have no idea how to calculate this.
How do I quicly figure it out on a calculator while I'm in the store?
Is the answer $918.00 or $924.21 ??
How much is the most my items can subtotal?
What's the right answer and why?
2007-04-06 08:40:53 · 14 answers · asked by K.M. 1 in Science & Mathematics ➔ Mathematics
s + 0.082s = 1000
1.082s = 1000
s=1000/1.082 = $924.21
check
924.21 + 0.082 (924.21) = 924.21 + 75.79 = 999.99
2007-04-06 08:55:16 · answer #1 · answered by Bomba 7 · 0⤊ 0⤋
The unknown is how much you can spend. (S)
(S)(1.082)=1000
The percent for sales tax is 8.2 percent. If you multiply the amount you spend by 1.082 you don't have to do the second steps of adding back the tax to the original amount.
S=1000/1.082
S=924.21441774491682070240295748614
If you spend anything over that you will go over 1000 once sales tax is added. Since you can't spend more than that number, the answer is $924.21
2007-04-12 09:29:58 · answer #2 · answered by Michelle M 2 · 0⤊ 0⤋
Let x be the cost of the goods. Then the sales tax would be 8.2% of x. (8.2% = 0.082)
Now the cost of the items plus the tax would be
x + 0.082x = 1000
1.082x = 1000
x = 1000/1.082
x = 924.21
2007-04-06 09:00:59 · answer #3 · answered by linz 2 · 0⤊ 0⤋
8.2% = 8.2 per cent = 8.2/100 = 0.082
So if A is the price, tax will be 0.082*A
Then,
A + 0.082A = 1000.00
1.082 A = 1000.00
A = 1000.00/1.082 = 924.214...
You won't go over $1000.00 if you expend $924.21 before paying sales tax.
2007-04-13 15:57:40 · answer #4 · answered by Anonymous · 0⤊ 0⤋
You simply need to back the tax out of the total amount spent by dividing the 1000/1.082 which is 924.23.
Therefore 924.23 would be your retail sales and 75.77 would be your total tax.
To check your work multiple 8.2% by 1000.00 and you should get 75.77.
Hope this helps.
2007-04-06 08:47:37 · answer #5 · answered by Anonymous · 1⤊ 1⤋
X + .082X = 1000
1.082X = 1000
X = 1000/1.082
X = 924.21441774491682070240295748614
918 is wrong, because 8.2% of 918 + 918 does not equal 1000, i.e., 918 + 8.2% of 1000 = 1000, which is not what you was looking for.
924.21 + 8.2% of 924.21 does equal 1000
2007-04-12 12:25:46 · answer #6 · answered by Anonymous · 0⤊ 0⤋
Sales tax = 8.2%. Thus the total of your order is 108.2% of what you buy. So now just work backwards. 1000 / 1.082 = $924.21. Thus you can buy $924.21 worth of goods. 8.2% of $924.21 is $75.79. $924.21 + $75.79 = $1000.
8.2% of $918 = $75.28. $918 + $75.28 = $993.28.
2007-04-12 10:43:26 · answer #7 · answered by Zef H 5 · 0⤊ 0⤋
x + x * .082 = 1000
1.082x =1000
x=924.214
so $924.21
Why is this the right answer? well we calculated it out we can spend some amount of money (x) but what ever we spend we will have to pay an additional $.082 for every x we spend.
That's how we get the first equation from there its algebra.
2007-04-13 14:01:41 · answer #8 · answered by marvin0258 3 · 0⤊ 0⤋
the right answer is 924.21
it is like this
let A be the amount without tax and tax rate is T%, then the formula is
A+AX T/100 = net amount including tax
hence A (1+8.2/100) =1000
A (108.2/100) =1000
A = 1000X100/108.2 = 924.21
2007-04-11 19:54:34 · answer #9 · answered by diamond 3 · 0⤊ 0⤋
The answer I believe is $924.21.
I multiplied $924.21 x 1.082 because you said sales tax is 8.2%. I got $999.99.
I think you do 1.082 x n= 999.99
which asks ...
I chose 999.99 because it is below 1000.
Hope this helps a bit!
2007-04-06 08:45:26 · answer #10 · answered by Happy Girl 3 · 1⤊ 2⤋