if the reserve rate is 7% and a bank receives a deposit of $9000, how much of the $9000 is the bank free to lend?

Answers

Answer 1
Answer:

$8370 of the deposit money $9000 is the money the bank is free to lend given that the reserve rate is 7%. This is obtained by finding 7% of deposit money and subtracting the answer from the deposit money.

Calculate the money the bank is free to lend:

Given that, deposit = $9000

reserve rate = 7%

First we have to find 7% of $9000,

7% of $9000 = 7/100 × $9000

                      = $630

Money the bank is free to lend, $9000 - $630 = $8370

Hence $8370 of the deposit money $9000 is the money the bank is free to lend given that the reserve rate is 7%.

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Answer 2
Answer: If the reserve rate is 7% and a bank receives a deposit of $9,000. How much of the $9,000 is the bank free to lend? $8,370

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A man buys 12.50kg of one of rice for £30 per kg and £67.90 per kg. If he mixes them and makes packets, each containing 3450g of rice, how many packets of rice are there and what is the cost of each packet?

Answers

Answer:

a. The number of packets the two bags/brands of rice can be repackaged to = 7 packets.

b. Cost of one packet is £174.82

Step-by-step explanation:

Please kindly see the attached files for explanation.

PLEASE HELP ME WITH THIS 17 points!! PLEASEEEE IM BEGGING YOU!!!

Answers

Answer:

x = 2

Step-by-step explanation:

Step 1: Convert to math

5x + 1 = 3x + 5

Step 2: Solve for x

  1. Subtract 4x on both sides: 2x + 1 = 5
  2. Subtract 1 on both sides: 2x = 4
  3. Divide both sides by 2: x = 2

Step 3: Check

Plug in x to verify it's a solution.

5(2) + 1 = 3(2) + 5

10 + 1 = 6 + 5

11 = 11

Answer:

2

Step-by-step explanation:

there are 5 x's and 1 positive one of the left side, and 3 x's and five positive one's on the right side. when you put this into an equation, you get:

5x+1 = 3x+5

the first step to solving the equation is to subtract 3x from both sides:

5x+1 -3x = 3x+5 -3x

2x+1 = 5

next, subtract 1 from both sides:

2x+1 -1 = 5 -1

2x=4

finally, divide both sides by 2:

2x ÷2 = 4 ÷2

x=2

and the answer is: 2

3. The only solution of the equation x^2 + bx + 16 = 0 isx = 4. What is the value of b?

A.) b = –16

B.) b = –8

C.) b = 8

D.) b = 16

Answers

4^2+b\cdot4+16=0\n 16+4b+16=0\n 4b=-32\n b=-8

David wants to hang a mirror in his room. The mirror and frame must have an area of 8 square feet. The mirror is 2 feet wide and 3 feet long. Which quadratic equation can be used to determine the thickness of the frame, x?Square with an inner frame with height of 2ft on the left frame and width of 3ft on the top. Arrow on the bottom frame with an x and an arrow on the right frame with an x.


2x2 + 14x − 2 = 0
3x2 + 10x − 8 = 0
4x2 + 10x − 2 = 0
x2 + 7x − 8 = 0

Answers

Represent the thickness of the frame by x. Framing the mirror will increase both its length and width by 2x. The area of the mirror with the frame is the product of the length and width which can mathematically be expressed as,
                                 
                                                A = (3 + 2x)(2 +2x) = 8

The equation above can be simplified into 4x^2 + 10x -2 = 0. This equation can still be further simplified by dividing it by 2. However, it will give an answer which is not found on the choices. Thus, the answer is the third choice. 

Answer:

The answer above is correct i took the test

Step-by-step explanation:

Quadrilateral EFGH has coordinates E(a, 2a), F(3a, a), G(2a, 0), and H(0, 0). Find the midpoint of HG.A (2a, 0)
B (a, 2a)
C (a, a)
D (a, 0)

Answers

Midpoint of HG = ((0 + 2a)/2, (0 + 0)/2) = (2a/2, 0/2) = (a, 0)
option D is the correct answer.
Coordinates are: H ( 0, 0 ) and G ( 2 a, 0 ).
Coordinates of the midpoint are:
x  = ( x 1 + x 2  ) / 2
y = ( y 1 + y 2 ) / 2
The midpoint of HG:
x = ( 0 + 2 a ) / 2 = 2 a / 2 = a
y = ( 0 + 0 ) / 2 = 0 / 2 = 0
Answer:
D ) ( a, 0 ) 

Grace has won trophies in several sports. she won 1/3 of her trophies in soccer and 1/2 of trophies in backetball. how many trophies could grace have?

Answers

Basically speaking, any multiple of 6.