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liubo4ka [24]
3 years ago
13

If the Federal Reserve decreases the reserve rate from 4% to 2%, how does this affect the amount of money that would result beca

use of fractional-reserve banking from an initial deposit into a bank of $55,000?
A. It increases the amount by $1,375,000.
B. It decreases the amount by $2,750,000.
C. It decreases the amount by $1,375,000.
D. It increases the amount by $2,750,000.
Mathematics
1 answer:
vredina [299]3 years ago
5 0
INCREASE THE AMOUNT OF 1;37500

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(4x + 4)(ax – 1) – x2 +4
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Answer:

b=-3

Step-by-step explanation:

If the expression simplifies to bx that means the x^{2} terms and the constant terms must be cancel out.

Simplify it first.

(4x+4)(ax-1)-x^{2} +4\\=(4ax^{2} -4x+4ax-4)-x^{2} +4\\=4ax^{2} -x^{2} -4x+4ax-4+4\\=4ax^{2} -x^{2} -4x+4ax

We know –4 + 4 will cancel out. If we simplify this expression to only an x term, then the x^{2} terms should be cancelled. Therefore, we say that 4ax^2 – x^2 = 0.

4ax^{2} -x^{2} =0\\x^{2} (4a-1)=0\\4a-1=0\\4a=1\\a=\frac{1}{4}

If we put a = ¼, then we can find the value of b:

=4(\frac{1}{4} )x^{2} -x^{2} -4x+4(\frac{1}{4} )x\\=x^{2} -x^{2} -4x+x\\ (cancel out x^{2} terms)\\

=-3x

bx=-3x\\      if the  expression is equivalent to bx

Therefore, b = –3.

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Answer:

Volume of original toolbox = 180 in³

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10 x 6 x 3 = 180 in³

proof:

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double width = 10 x 12 x 3 = 360 in³, which is double the original

double height = 10 x 6 x 6 = 360 in³, which is double the original

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