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fomenos
3 years ago
15

1. Assume the reserve requirement is 10%. First National Bank receives a deposit of $5,400. If there is no slippage, how much co

uld the money supply expand? Explain and show your work. (3 points for correct math. 7 points for analysis)
Mathematics
1 answer:
WARRIOR [948]3 years ago
7 0

Answer: Money supply will increase by $54,000

Explanation:

Required reserve ration or r= 10% = 0.10

Initial deposits = $5400

We use the money multiplier formula to find out the value of the multiplier. It is given by,

m=\frac{1}{r} =\frac{1}{0.10} =10

Money multiplier shows us how much does the supply of money change for a change in the deposits. So, using the value of the multiplier = 10, we have change in money supply of,

m=\frac{Change in Money supply}{Change in deposits}

10=\frac{Change in money supply}{$5400}

Change in money supply = $5400*10=$54,000

Thus, the money supply in the economy will increase by $54,000

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Ganezh [65]

Answer:

y(1+x)+x-5\ln xy=C

Step-by-step explanation:

Consider the given differential equation is

(1-\frac{5}{y}+x)\frac{dy}{dx}+y=\frac{5}{x}-1

(1-\frac{5}{y}+x)\frac{dy}{dx}=\frac{5}{x}-1-y

(1-\frac{5}{y}+x)dy=(\frac{5}{x}-1-y)dx

Taking all variables on right sides.

(1-\frac{5}{y}+x)dy-(\frac{5}{x}-1-y)dx=0

(-\frac{5}{x}+1+y)dx+(1-\frac{5}{y}+x)dy=0

Let as assume,

M=-\frac{5}{x}+1+y and N=1-\frac{5}{y}+x

Find partial derivatives \frac{\partial M}{\partial y} and \frac{\partial N}{\partial x}

\frac{\partial M}{\partial y}=1 and \frac{\partial N}{\partial x}=1

Since \frac{\partial M}{\partial y}=\frac{\partial N}{\partial x}, therefore the given differential equation is exact.

The solution of the exact differential equation is

\int Mdx+\int N(\text{without x)}dy=C

\int (-\frac{5}{x}+1+y)dx+\int (1-\frac{5}{y})dy=C

yx-5\ln x+x+y-5\ln y=C

y+x+xy-5\ln x-5\ln y=C

y(1+x)+x-5(\ln x+\ln y)=C

y(1+x)+x-5\ln xy=C

7 0
4 years ago
How many minutes is 40% of 2 hours
andrew11 [14]
1 hours is equal to 60 minutes.
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6 0
3 years ago
Find the zeroes of the following equation:
weqwewe [10]

Answer:  \bold{x=\dfrac{1\pm \sqrt5}{2}}

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<u>Step-by-step explanation:</u>

Note: The question would have made more sense if if it was 2/x = x - 1 but I will answer it as written.

\dfrac{1}{x}=x-1\qquad \text{Restriction: }x\neq 0\\\\\\\text{Cross multiply, simplify, and set equal to zero:}\\1=x(x-1)\\\\1=x^2-x\\\\0=x^2-x-1\\\\\\\text{This is not factorable so you will need to use Quadratic Formula:}\\\\x=\dfrac{-(-1)\pm \sqrt{(-1)^2-4(1)(-1)}}{2(1)}\\\\\\x=\dfrac{1\pm \sqrt5}{2}

7 0
3 years ago
1- Emily collected $950 selling Girl Scout cookies all day Saturday. Emily's Troop collected 10 times as much as she did. How mu
VikaD [51]
1. $9500 because 10*950=9500
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( can explain further )
5 0
3 years ago
3 2/3 - 2 3/4= ______________
NISA [10]

Answer:

7  5/12

Step-by-step explanation:

3+2=6

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1 + 6= 7 5/12

7 0
3 years ago
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