Mia wants to deposit $3,886 into savings accounts at three different banks: bank of the us, 7/4 bank, and catch bank. she will deposit three times as much into bank of the us as 7/4 bank because they offer a higher interest rate. she also expects the catch bank deposit to be 45% of the total of the other two deposits. how much will mia deposit into the catch bank savings account? (5 points) $670 $1,206 $1,340 $2,010

A = deposit at US bank

b = deposit at 7/4 bank

c = deposit at Catch bank.

we know her total is 3886, thus  a + b + c = 3886.

now, we know whatever "b" is, the amount at US bank, "a", is 3 times that much, thus a = 3b.

(3b) + b + c = 3886.

whatever% of anything, is just (whatever/100) * anything.

we know Catch bank gets 45% of whatever the sum of the other two is, well, US bank gets "3b", 7/4 bank gets "b", their total is 3b + b = 4b, and Catch bank gets 45% of that, (45/100) * 4b



how much is it for the Catch bank?  well, (45/100) * 4(670).

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