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Vlad [161]
3 years ago
12

In a 100-percent-reserve banking system, if a customer deposits $100 of currency into a bank, then the money supply:

Mathematics
1 answer:
Nataliya [291]3 years ago
5 0

Answer:

Option D.

Step-by-step explanation:

The total stock of currency and other liquid instruments circulating in the economy of a country as of a particular time is known as money supply.

If the reserve requirements of banks is least then banks are able to loan more money, that will increases the overall supply of money in the economy.

In 100% reserve banking system, 100% amount of each depositor's funds would be required to keep by bank for immediate withdrawal on demand.

100% reserve banking system is also known as Full-reserve banking system.

It means, if a customer deposits $100 of currency into a bank with 100% reserve banking system, then the money supply remains the same.

Therefore, the correct option is D.

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Let T be the plane-2x-2y+z =-13. Find the shortest distance d from the point Po=(-5,-5,-3) to T, and the point Q in T that is cl
GaryK [48]

Answer:

d=10u

Q(5/3,5/3,-19/3)

Step-by-step explanation:

The shortest distance between the plane and Po is also the distance between Po and Q. To find that distance and the point Q you need the perpendicular line x to the plane that intersects Po, this line will have the direction of the normal of the plane n=(-2,-2,1), then r will have the next parametric equations:

x=-5-2\lambda\\y=-5-2\lambda\\z=-3+\lambda

To find Q, the intersection between r and the plane T, substitute the parametric equations of r in T

-2x-2y+z =-13\\-2(-5-2\lambda)-2(-5-2\lambda)+(-3+\lambda) =-13\\10+4\lambda+10+4\lambda-3+\lambda=-13\\9\lambda+17=-13\\9\lambda=-13-17\\\lambda=-30/9=-10/3

Substitute the value of \lambda in the parametric equations:

x=-5-2(-10/3)=-5+20/3=5/3\\y=-5-2(-10/3)=5/3\\z=-3+(-10/3)=-19/3\\

Those values are the coordinates of Q

Q(5/3,5/3,-19/3)

The distance from Po to the plane

d=\left| {\to} \atop {PoQ}} \right|=\sqrt{(\frac{5}{3}-(-5))^2+(\frac{5}{3}-(-5))^2+(\frac{-19}{3}-(-3))^2} \\d=\sqrt{(\frac{5}{3}+5))^2+(\frac{5}{3}+5)^2+(\frac{-19}{3}+3)^2} \\d=\sqrt{(\frac{20}{3})^2+(\frac{20}{3})^2+(\frac{-10}{3})^2}\\d=\sqrt{\frac{400}{9}+\frac{400}{9}+\frac{100}{9}}\\d=\sqrt{\frac{900}{9}}=\sqrt{100}\\d=10u

7 0
3 years ago
Write the slope intercept form Through:(5,-3) and (0,0)
andriy [413]

Answer:

y= -\frac{3}{5} x

3 0
3 years ago
the graph shows the distance a car travels over a certain amount of time. what is the ratio of kilometers traveled to the time i
Mumz [18]
A. 40 km/h
this because (2,80)/2 is (1,40) or 40/1, so it would be 40 km/h
8 0
3 years ago
There are 3 numbers: 5,
MA_775_DIABLO [31]

solution

Mean of two smallest number (3+5 =8/2) =4

Mean of all the three (3+5+19 =27) 27/3 = 9

so the mean of two largest number is 19+5 = 24 /2 = 12

Final Answer

The mean of two largest Number is 12

8 0
3 years ago
If a company buys an item at a wholesale price of $45, which of the following would make sense as a retail price to charge the c
boyakko [2]

Answer:

Step-by-step explanation:

buys it for $ 45

well...you know the business is gonna want to make a profit...so they would have to sell it for more then they bought it for.

I would say $ 60 or $ 80

4 0
3 years ago
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