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4 years ago

6

Tommy has 6 more than 3 times the amount of money in his bank account than Judy. Judy has $7500 more than a number in her accoun

t. How much money does Judy and Tommy have in each their accounts?

1 answer:

balu736 [363]4 years ago

4 0

Answer: Judy: n+7500

Tommy: 3(n+7500)+6

Step-by-step explanation:

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Suppose that you take $350 in currency out of your pocket and deposit it in your checking account. If the required reserve ratio

nika2105 [10]

Answer:

= $3,888.89

Step-by-step explanation:

First, calculate the money multiplier(MM); which is the amount of money that is generated by the banks for each dollar of reserve. In this case, it describes how a deposited amount increases the total supply of money.

Money Multiplier = 1 / reserve ratio

Reserve ratio = 9% or 0.09

Therefore, money multiplier = 1/0.09 = 11.1111

Next, use the reserve ratio to calculate the amount of increase in money supply;

= 11.1111 * $350

= $3,888.89

5 0

4 years ago

I really need some help on this!

Yuri [45]

Answer:

d i believe

Step-by-step explanation:

i don't believe that polynomials have two different letters

8 0

3 years ago

How can one fifth x − 2 = one third x + 8 be set up as a system of equations?

suter [353]

Answer:

none of the above

Step-by-step explanation:

The given equation can be divided into two parts:

... x - 2 = y = (1/3)x +8

Putting the left equation into standard form, it becomes

... y -x = -2

Multiplying it by 5 gives ...

... 5y -5x = -10 . . . . . . . . . . . matches answer choices A or B

Please note there is no obvious reason <em>why</em> the equation is multiplied by 5. (It is no longer in standard form when there is a factor of 5 that can be removed.)

___

Putting the right equation into standard form, it becomes

... y = (1/3)x + 8

... 3y = x + 24 . . . . . multiply by 3

... 3y -x = 24 . . . . . . subtract x . . . . . . matches answer choice D

Solution:

An appropriate system of equations is ...

5y -5x = -10
3y -x = 24

These have solution (x, y) = (15, 13) as the original equation does.

_____

<em>Comment on the question</em>

In cases like this, where none of the offered answers has any relevance to the problem, I suggest you have your teacher show you how to work this problem and check the resulting answer.

3 0

3 years ago

Hi Math do please I don’t want fail :(

NeX [460]

Answer:

Step-by-step explanation:

(2 , 1) ; ( 3 , 2)

$Slope =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\dfrac{2-1}{3-2} =\dfrac{1}{1}\\\\=1$

Equation of line: y = mx +b

y = 1x + b

Plugin x = 2 and y = 1 in the above equation

1 = 2 + b

1- 2 = b

b = -1

y = 1x - 1

6 0

3 years ago

Suma a 3 numere naturale este 163. Scazand al treilea numar din suma primelor doua numere, obtinem 67. Scazand primul numar din

Vika [28.1K]

Answer: x=63, y=52, z=48

Step-by-step explanation:

The complete question in english is:

The sum of 3 natural numbers is 163. By subtracting the third number from the sum of the first two numbers, we get 67. By subtracting the first number from the sum of the last 2 numbers, we get 37. Determine the 3 numbers

According to this we have a system with three equations and three unknown values:

$x+y+z=163$ (1)

$x+y-z=67$ (2)

$-x+y+z=37$ (3)

Let's begin by isolating $x$ from (1):

$x=163-y-z$ (4)

And substitute (4) in (2):

$163-y-z+y-z=67$ (5)

Isolating $z$ :

$z=48$ (6) We have found the first number

Substituting (6) in (1):

$x+y+48=163$ (7)

Adding (7) to (3):

$\left \{ {{x+y+48=163} \atop {-x+y+z=37}} \right$

We have the following:

$2y+96=200$

Isolating $y$ :

$y=52$ (8) This is the second number

Substituting (6) and (8) in (1):

$x+52+48=163$ (9)

Isolating $x$ :

$x=63$ (10) This is the third number

8 0

4 years ago