Sarah wants to deposit $2125 into savings at three different banks: bank of the us, 7/4 bank, and catch bank. she will deposit 4 times as much into catch bank as 7/4 bank because they offer a higher interest rate. she also expects the bank of the us deposit to be .25% of the total of the other two deposits. how much will sheila deposit into the bank of the us savings account?

Money deposited in US savings account = 425$

Explanation:

 Let deposit made in US, 7/4 Bank, and Catch Bank be a,b and c respectively.

 We have total deposit =  $2125

        a + b + c = 2125   Equation 1

 She will deposit 4 times as much into catch bank as 7/4 Bank because they offer a higher interest rate

        c = 4 b   Equation 2

She also expects the Bank of the US deposit to be 25% of the total of the other two deposits

       a = 0.25 ( b + c )

       4 a = b + c   Equation 3

Equation 1 + Equation 3,

   a + b + c + 4 a = 2125 + b + c

                      5 a = 2125

                          a = 425$

 So money deposited in US savings account = 425$

so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

mark brainliest!

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