If the reserve rate is 3% and a bank receives a deposit of $16,000, how much of the $16,000 is the bank free to loan out?

Answer:

1/27

Step-by-step explanation:

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\boxed{\mathsf{(\dfrac{1}{3}})^3}\\\\\huge\boxed{= \mathsf{\dfrac{1}{3}\times\dfrac{1}{3}\times\dfrac{1}{3}}}\\\\\huge\boxed{\mathsf{= \dfrac{1}{3^3}}}}\\\\\huge\boxed{\mathsf{= \dfrac{1}{3\times3\times3}}}\\\\\huge\boxed{=\mathsf{\dfrac{1}{9\times3}}}\\\\\huge\boxed{\mathsf{= \dfrac{1}{27}}}\\\\\huge\boxed{\frak{Answer: \dfrac{1}{27}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment\& enjoy your day!}\\\\\\\frak{Amphitrite1040:)}[/tex]

Answer:

b = 10

Step-by-step explanation:

Expand the left side and compare the coefficients of like terms

(2x + a)(4x - 1) ← expand using FOIL

= 8x² + 4ax - 2x - a = 8x² + x(4a - 2) - a

Compare coefficients of like terms with

8x² + bx - 3

Then a = 3 ( constant term )

b = 4a - 2 ( coefficients of the x- term )

b = 4(3) - 2 = 12 - 2 = 10

Answer:

b = 10

Step-by-step explanation:

We can break those parenthesis like this

[tex](2x + a)(4x - 1) \\ = 2x(4x - 1) + a(4x - 1) \\ = 8{x}^{2} - 2x + 4ax - a[/tex]

And then combine the terms end with x we get

[tex]8 {x}^{2} - 2x + 4ax - a \\ = 8 {x}^{2} + 4ax - 2x - a \\ = 8 {x}^{2} + (4a - 2)x - a[/tex]

Now by comparing 2 expressions, we can see that a is 3, and b = 4a-2 = 12-2 = 10

Answer:

a = 3

Step-by-step explanation:

We can start by cross multiplying, which is a method to help solve proportions. We get:

5 * a = 3 * (a + 2)

Now, we can distribute the 3 and solve:

5a = 3a + 6

-3a  -3a

2a = 6

/2    /2

a = 3

Answer:

[tex]a = 3[/tex]

Step-by-step explanation:

[tex]a \times 5=(a+2) \times 3[/tex]

[tex]5a=(a+2) \times 3[/tex]

[tex]5a=3a+6[/tex]

[tex]5a−3a=6[/tex]

[tex]2a=6[/tex]

[tex]a = 3[/tex]

Answer:

Pantalones = $600.00 × 2

$ 1,200.00

Blusas = $350.00 × 4

$ 1,400.00

Calcetas = $120.00 × 3

$ 360.00

Par de tenis = $950.00 × 2

$ 1,900.00

Total a pagar = $4,850.00

$5,000.00

- $4,860.00

Sobrante = $140.00

Answer:

f(x) = x × 0.12 if  15,000 ≤ x ≤ 30,000

        x × 0.18 if  x ≥ 30,000

Step-by-step explanation:

I. When 12% is 12/100 = 0.12

 and 18% is 18/100 = 0.18

Answer:

-i

Step-by-step explanation:

i^2=-1, so i^151=[(i^2)^75] * i=> [(-1)^75]*i=(-i)

Answer:

767

Step-by-step explanation:

Answer: the image wont load ;-;

Step-by-step explanation:

Answer: -15,-12,10,12,26

Step-by-step explanation:

Answer:

please mark me brainliest

Step-by-step explanation:

if you want to get the total price for the box of balls,you will have to multiply the price per ball with total number of balls

which is 20$×100=200$

Answer:

[tex]( \sec \theta - \tan \theta)( \sec \theta + \tan \theta)[/tex]

from difference of two squares:

[tex]{ \boxed{ \tt{( {a}^{2} - {b}^{2}) = (a - b)(a + b) }}}[/tex]

[tex] = { \sec }^{2} \theta - { \tan}^{2} \theta \\ = (1 + { \tan}^{2} \theta) - { \tan}^{2} \theta \\ = 1[/tex]

hence proved

Answer:

230 for Daughter and son each

Step-by-step explanation:

for apples=he spend Rs 300

sugar=Rs 240

Rs 1000

then remaining is 460 divided equally is

230 for each

love maths!

Answer:

the sum of two positive integer to always be positive

Answer:

the answer is:

997+2=999 so all you would have to do is multiply 997 and 2

9514 1404 393

Answer:

Step-by-step explanation:

Using the first equation to write an expression for y, we get ...

  y = 15 -x

Substituting that into the second equation gives ...

  30x +20(15 -x) = 270

  10x +300 = 270 . . . . . . . . . simplify

  10x = -30 . . . . . . . . . . . . . subtract 300

  x = -3 . . . . . . . . . . . . . . divide by 10

  y = 15 -(-3) = 18 . . . . find the corresponding value of y

The number of adult tickets sold is -3; the number of children's tickets sold is 18.

_____

Additional comment

If 15 tickets were sold for 270 the way your problem statement says, then the average ticket price is 270/15 = 18 per ticket. You show the ticket prices to be 20 for children and 30 for adults. That is, the average price is expected to be between 20 and 30. There is something wrong with this problem.

Answer:

0.72

Step-by-step explanation:

hope that helps!

Answer:

(5, -18)

Brainliest, please!

Step-by-step explanation:

(12, -9)(19, 0)

x distance: 7, y distance: 9

To get the other endpoint, we must apply the opposite.

x distance: -7, y distance: -9

(12, -9)

12 - 7 = 5, -9 - 9 = -18

(5, -18)

9514 1404 393

Answer:

  52 minutes

Step-by-step explanation:

Streaming Haunted Cave videos used the battery at the rate ...

  (76% -16%)/(3·30 minutes) = 60%/(90 minutes) = (2/3)% per minute

Playing Top Pop used the battery at the rate ...

  (63% -59%)/(24 minutes) = (4/24)% per minute = (1/6)% per minute

The remaining charge (in percent) after x minutes for Jorge's phone will be ...

  J = 55 -2/3x

The remaining charge for Samantha's phone will be ...

  S = 29 -1/6x

We can find the value of x that makes these equal:

  J = S

  55 -2/3x = 29 -1/6x

  26 = 1/2x . . . . . . . . . . . . . . . add 2/3x -29 to both sides

  52 = x . . . . . . . . . . . multiply by 2

It will be 52 minutes before the two phones have the same battery level.

Answer:

50%

Step-by-step explanation:

Because the coin has two sides, heads and tails, there is a 50% chance that it will land on tails.

1/2

Answer:

-2 is common ratio.

Step-by-step explanation:

All steps are in picture.

If you need to ask question ,i will asnwer you gladly.

Answer:

-2

Step-by-step explanation:

when there are two negative signs directly next to each other, it becomes a positive. Set the equation. Let the unknown number be signified by the variable, x:

6 = x - (-8)

6 = x + 8

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Subtract 8 from both sides of the equation:

6 (-8) = x + 8 (-8)

6 - 8 = x

x = 6 - 8

x = -2

-2 is your missing value.

~

Hey there!

6 = ____ - (-8)

• We’re going to substitute the blank value as “x” because we don’t know the variable is just yet.. it is unknown

x - (-8) = 6

x + 8 = 6

SUBTRACT 8 to BOTH SIDES

x + 8 - 8 = 6 - 8

CANCEL out: 8 - 8 because that gives you 0

KEEP: 6 - 8 because that helps solve for the x-value

x = 6 - 8

6 - 8 = x

x = -2

Answer: -2

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Step-by-step explanation:

In mathematics, factorization or factoring consists of writing a number or another mathematical object as a product of several factors, usually smaller or simpler objects of the same kind. For example, 3 × 5 is a factorization of the integer 15, and is a factorization of the polynomial x² – 4. 

MARK AS BRAINLIST IF IT IS USEFUL

Answer:

20 and 21

Step-by-step explanation:

424 = 400 + 20 + 4. √400 = 20, as √4 = 2

21² = (20 + 1)² = 400 + 40 + 1 = 441 > 424.

Answer:

x = 8

Step-by-step explanation

Complimentary angles have a sum of 90*. Thus when adding the two equations together, we must get 90*.

7x + 17 + 3x - 7 = 90                Combine like terms

10x + 10 = 90                           Subtract 10 on both sides

10x = 80                                   Divide both sides by 10

x = 8

Answer:

x = 8

Step-by-step explanation

Complimentary angles have a sum of 90*. Thus when adding the two equations together, we must get 90*.

7x + 17 + 3x - 7 = 90 Combine like terms

10x + 10 = 90 Subtract 10 on both sides

10x = 80 Divide both sides by 10

x =8

Answer:

Step-by-step explanation:

Students traveled in buses:

Number of students in each bus:

Students travelled in bus:-

[tex]\\ \rm\longmapsto 226-10=216[/tex]

Students in each bus

[tex]\\ \rm\longmapsto \dfrac{216}{8}[/tex]

[tex]\\ \rm\longmapsto 27[/tex]

Answer:

52/15 or 3 7/15

Step-by-step explanation:

2 3/5 divide 3/4

13/5 divide 3/4

13 x 4/5 x 3

52/15

3 7/15

Answer:

3 [tex]\frac{7}{15}[/tex]

~~~~~~~~~~~

[tex]\frac{13}{5}[/tex] ÷ [tex]\frac{3}{4}[/tex]

[tex]\frac{13}{5}[/tex] * [tex]\frac{4}{3}[/tex]

[tex]\frac{52}{15}[/tex]

3 [tex]\frac{7}{15}[/tex]

Step-by-step explanation:

Answer:8/25

Step-by-step explanation:

Answer:

Step-by-step explanation:

32/100 = 16/50 = 8/25

Answer:

24/100 written in decimal form is .24

16% written as a decimal is .16

.24 would be greatest i believe

Step-by-step explanation:

24/100 is in the 100th place so your decimal would be 0.24

16% is also in the 100th place so .16 :)

Answer:

42 students

Step-by-step explanation:

If 4 students had to travel in cars, then 382 - 4 = 378 students traveled in the buses.  Since there were 9 buses, 378 / 9 = 42.  Therefore, there were 42 students in each bus.