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Mathematics 14 Online
OpenStudy (anonymous):

jon is comparing two checking accounts. one has a monthly fee of $7 per check-fee of $0.30 and the other has a monthly fee 0f $4 and a per check fee of $0.40. what is the minimum number of checks jon needs to write for the first account to be a better option? HELPP!

OpenStudy (anonymous):

well compute the number of checks at which the two accounts cost the same.

OpenStudy (anonymous):

if you write X checks, how much does the first account cost?

OpenStudy (anonymous):

wait kan u help mi on another problem instead?

OpenStudy (anonymous):

checking account a charges a monthly service fee of $2 and a per check fee of$0.30 while checking account b charges a monthly service fee of $3 and a per check fee of $0.20 how many checks would a person have to write for the checks to be the same?

OpenStudy (anonymous):

okay....? same problem. can you write an expression for how much the first account will charge if you write X checks?

OpenStudy (anonymous):

it says 31, 0 ,20, or 10 checks

OpenStudy (anonymous):

okay that doesn't matter. if you write X checks, how much does account 1 cost?

OpenStudy (anonymous):

hello?

OpenStudy (anonymous):

yea

OpenStudy (anonymous):

srry i dnt get wat ur tryin to say

OpenStudy (anonymous):

for account 1, if you write X checks, how much will account 1 cost you?

OpenStudy (anonymous):

if u write 5 checks wont it cost $1.5

OpenStudy (anonymous):

how did you get that?

OpenStudy (anonymous):

um multiplyed 0.30 X 5

OpenStudy (anonymous):

okay you're close, so for "x" checks (instead of 5) how much will it cost?

OpenStudy (anonymous):

let's call it "c" checks instead of x so it's less confusing, since "x" also looks like a multiplication symbol. If you write 'c' checks, how much will it cost?

OpenStudy (anonymous):

if i write 4 c?

OpenStudy (anonymous):

0.30 c

OpenStudy (anonymous):

plus the monthly fixed fee, which is how many dollars?

OpenStudy (anonymous):

2.3 dollars

OpenStudy (anonymous):

where did you get that from

OpenStudy (anonymous):

0.30 +$2

OpenStudy (anonymous):

huh? where did $2 come from?

OpenStudy (anonymous):

from the monthly fee

OpenStudy (anonymous):

that's $7, not $2

OpenStudy (anonymous):

ohh dis hole time i was asking for help on the oter problem

OpenStudy (anonymous):

okay so if you write 'C' checks, the fixed fee is $7, and the per-check fee is $0.30, how much does it cost? can you write that expression?

OpenStudy (anonymous):

oh, i see.. okay, let's do the second problem, the fixed fee is $2 and the per-check fee is 0.30 dollars, so how much is it if I wrote "C' checks?

OpenStudy (anonymous):

do i add 0.30+$2

OpenStudy (anonymous):

no, that's if you write one check. what if you write C checks?

OpenStudy (anonymous):

so i multiply dem?

OpenStudy (anonymous):

multiply what?

OpenStudy (anonymous):

0.30x$2

OpenStudy (anonymous):

no, why would you do that? how much would it cost if you wrote 2 checks

OpenStudy (anonymous):

$4.3?

OpenStudy (anonymous):

don't do the math, just write the equation

OpenStudy (anonymous):

four dollars

OpenStudy (anonymous):

what? no, it's two dollars plus 0.30 dollars per check

OpenStudy (anonymous):

it's the price per check times the number of checks you write

OpenStudy (anonymous):

plus the fixed cost per month of $2

OpenStudy (anonymous):

can you wrte it out its kinda confusing

OpenStudy (anonymous):

do you understand that?

OpenStudy (anonymous):

were did u get 7

OpenStudy (anonymous):

sorry i meant 2, i got it mixed up with the other problem it's 0.30 * C + 2

OpenStudy (anonymous):

ok bt wat goes in number of checks

OpenStudy (anonymous):

that's what we're trying to solve, so just keep it as an unknown for now, called C

OpenStudy (anonymous):

do you understand that?

OpenStudy (anonymous):

yes

OpenStudy (anonymous):

for any number of checks, which we'll call C, it costs 0.30 * C + 2

OpenStudy (anonymous):

okay now how much does the other account cost if you write C checks?

OpenStudy (anonymous):

0.20* c +$3

OpenStudy (anonymous):

yeah. now we want to find out when the two accounts cost the same, so set those two expressions equal to each other and then solve for C

OpenStudy (anonymous):

can you write that?

OpenStudy (anonymous):

wit i dnt get it

OpenStudy (anonymous):

write the cost of the first account, then an equals sign, then the cost of the second account

OpenStudy (anonymous):

wait i tink i found the anser

OpenStudy (anonymous):

i did 0.30x10 +2=5

OpenStudy (anonymous):

christ, if you just wanted the answer i could have told you that an hour ago. i thought you wanted to learn how to do it

OpenStudy (anonymous):

n 0.20x10=5

OpenStudy (anonymous):

sorry tanks

OpenStudy (anonymous):

i know how to do it now tho

OpenStudy (anonymous):

no, we didn't actually solve it yet!

OpenStudy (anonymous):

we didnt?

OpenStudy (anonymous):

no, we have to take the two expressions for the costs of the two accounts, and set them equal to each other, and then solve for C

OpenStudy (anonymous):

how do u do that

OpenStudy (anonymous):

write the cost of account one, write an equals sign, then the cost of account 2

OpenStudy (anonymous):

tanks ill get on soon i hav to get off

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