if a federal reserve sets the reserve rate to 4%, what is the resulting money multiplier

Answer:

5 and 6.

Step-by-step explanation:

Answer:

42

Step-by-step explanation:

20/100*210

20/100=1/5 or 0.2

1/5 or 0.2*210= 42

Using the conversion of a mixed fraction to decimal, it is found that Swamee used 0.75 inks of cartridge more than Luigi.

A mixed fraction is represented by:

a b/c.

In which:

Hence, as a decimal, the fraction is given by:

a + (b/c).

Hence the amounts of cartridges used by each are:

The difference is given by:

2.5 - 1.75 = 0.75 inks.

Swamee used 0.75 inks of cartridge more than Luigi.

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Answer:

Step-by-step explanation:

\( \sf{x - 2} \: and \: { {x}^{2} + x - 6}\)

To find the H.C.F of the algebraic expressions, they are to be factorised and a common factor or the product of common factors is obtained as their H.C.F

Let's solve

First expression = x - 2

Second expression = x + x - 6

Here, we have to find the two numbers which subtracts to 1 and multiplies to 6

= x + ( 3 - 2 ) x + 6

Distribute x through the parentheses

= x + 3x - 2x + 6

Factor out x from the expression

= x ( x + 3 ) - 2x + 6

Factor out -2 from the expression

= x ( x + 3 ) - 2 ( x + 3 )

Factor out x+3 from the expression

= ( x + 3 ) ( x - 2 )

Here, x - 2 is common in both expression.

Thus, H.C.F = x - 2

Hope I helped!

Best regards!!!

Answer:

x - 2

Step-by-step explanation:

by factorization method

1) x - 2

2) x^2 + x - 6

by splitting method

x^2 + 3x - 2x - 6

taking separate common from the first two terms and last two terms

x(x + 3) - 2(x + 3)

now writing x+3 once and the other term to get the right answer

(x + 3)(x - 2)

in both parts just see the similar term and write it as HCF

HCF= x - 2

and the second method by which you can get this answer is division method

Answer:

(91/3)3=9(1/3-3)=9

Step-by-step explanation:

Answer:

hows your day

Step-by-step explanation:

Answer:

Cannot see the other picture as you just sent one

And the tables will help you and so will this.

Step-by-step explanation:

Look at the value for question of getting an answer right and you have to do a table that looks like this attached  

4 games at 2/3 chance for each = 16/27

We look at 1/3 x 1/3 = 11/ 20

we look at 2/3 x 2/3 = 0.444 = 22/50 = 11/25

The other two games are

1/3 x 2/3 = 0.22 + 0.22 = 0.44

0.44  =  11/25

+ 3/20

= 16/27

It wont be as complicated as that. But im sure this will help.

Answer:(2,-1)

Step-by-step explanation:

The required center of the given circle is given as (2, -1).

The circle is the locus of a point whose distance from a fixed point is constant i.e center (h, k). The equation of the circle is given by

(x - h)² + (y - k)² = r²

where h, k is the coordinate of the center of the circle on coordinate plane and r is the radius of the circle.

Here,
The standard form of the equation of the circle s is given as,
x² + y² -2hx -2ky + c = 0

Given the equation of the circle is
x² + y² - 4x + 2y + 1 = 0

Comparing the equations,
-2h = -4
h = 2

-2k = 2
k = -1

Thus, the required center of the given circle is given as (2, -1).

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Answer:

Step-by-step explanation:

Answer:

let the number of beads be b

then cost of bracelet C is = $0.10 +b$0.30

A. P(6, then 1) = 1/90

B. P(even, then 5) = 1/18

C. P(8, then odd) = 1/18

D. P(3, then prime) = 2/45

E. P(prime, composite) = 4/15

F. P(even, then 3, then 5) = 1/144

Given:

Total number of cards: 10

A. P(6, then 1):

P(6, then 1) = 1/10 x 1/9

= 1/90

B. P(even, then 5):

Number of favorable outcomes: 5 x 1 = 5

P(even, then 5) = 5/10 x 1/9

= 1/18

C. P(8, then odd):

Number of favorable outcomes: 1 x 5 = 5

P(8, then odd) = 1/10 x 5/9

= 1/18

D. P(3, then prime):

Number of favorable outcomes: 1 x 4 = 4

P(3, then prime) = 1/10 x 4/9

= 2/45

E. P(prime, composite):

Number of favorable outcomes: 4 x 6 = 24

P(prime, composite) = 4/10 x 6/9

= 4/15

F. P(even, then 3, then 5):

Number of favorable outcomes: 5 x 1 x 1 = 5

P(even, then 3, then 5) = 5/10 x 1/9 x 1/8

= 1/144

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The correct option: double result = secret(4, 4.0); is lines of code will successfully compile if they are placed in a method of the same class as secret.

As explained in the following method-

public double secret(int x, double y)

{

return x/2.0;

}

This function's return type is double, so any variable where the result will be stored should also have a double type.

The right choice, therefore, is double result = secret(4, 4.0);

All other choices are false and will result in an error.

for instance:

secret(4, 4); int result;

While you pass all integer variables, the function secret in it only accepts the first integer plus second double inputs.

int result = secret(4, 4.0);

Double values are not permitted to be stored in integer.

In the formula double result = secret(4.0, 4.0), you are giving the wrong kind of argument.

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The complete question is-

Consider the following method.

public double secret(int x, double y) { return x/2.0; }

Which of the following lines of code, if located in a method in the same class as secret, will compile without error?

int result = secret(4, 4);

double result = secret(4.0, 4);

int result = secret(4, 4.0);

double result = secret(4.0, 4.0);

double result = secret(4, 4.0);

Answer:

En el hotel hay 13 habitaciones sencillas y 37 habitaciones dobles.

Step-by-step explanation:

Un sistema de ecuaciones lineales es un conjunto de dos o más ecuaciones de primer grado, en el cual se relacionan dos o más incógnitas.

Resolver un sistema de ecuaciones consiste en encontrar el valor de cada incógnita para que se cumplan todas las ecuaciones del sistema.

En este caso, las variables que se definen son:

Entonces, el hotel dispone en total de 50 habitaciones, por lo que se plantea la ecuación:

x + y= 50

El hotel dispone de 87 camas. La cantidad de camas por habitación puede ser expresada mediante:

x + 2*y= 87

Entonces el sistema de ecuaciones a resolver es:

\(\left \{ {{x+y=50} \atop {x+2*y=87}} \right.\)

El método de sustitución consiste en despejar o aislar una de las incógnitas, por ejemplo x , y sustituir su expresión en la otra ecuación. De este modo, obtienes una ecuación de primer grado con la otra incógnita,  y . Una vez resuelta, calculas el valor de  x  sustituyendo el valor de  y ya conocido.

En este caso, despejando x de la primer ecuación:

x= 50 -y

y reemplazando en la segunda ecuación obtienes:

50 -y + 2*y=87

-y + 2*y=87 -50

y= 37

Reemplazando en la expresión x= 50 -y obtienes:

x= 50 -37= 50-37

x= 13

Recordando que x representa la cantidad de habitaciones sencillas e y la cantidad de habitaciones dobles, en el hotel hay 13 habitaciones sencillas y 37 habitaciones dobles.

Answer:

a.)

Number of bushes = b = 129 + 4(7) = 129 + 28 = 157 bushes

b.)

Revenue = bx = (157)(31.4) = $ 4929.8

Step-by-step explanation:

Let number of bushes = b

The price of the bushes = x

The time to harvest = t

The revenue = y

Now given,

Price = x = 37 - (0.8)t

and

Number of bushes = b = 129 + 4t

Also,

The revenue = (Number of bushes)(Price of the bushes)

                     = bx

                     = (129 + 4t)[37 - (0.8)t]

                     = 129×37 - 129× (0.8)t + 4×37t - 4×0.8t²

                     = 4773 - 103.2t + 148t - 3.2t²

                     = 4773 + 44.8t - 3.2t²

⇒ y = 4773 + 44.8t - 3.2t²

Now,

\(\frac{dy}{dt}\) = 0 + 44.8 - 6.4t

Now,

\(\frac{dy}{dt}\) = 0

⇒ 44.8 - 6.4t = 0

⇒ - 6.4t = -44.8

⇒ 6.4t = 44.8

⇒t = \(\frac{44.8}{6.4} = 7\)

Now,

\(\frac{d^{2}y }{dt^{2} }\) = -6.4

As \(\frac{d^{2}y }{dt^{2} }\)  < 0 ,

It means at time t = 7 , the revenue is maximum

a.)

Number of bushes = b = 129 + 4(7) = 129 + 28 = 157 bushes

Price = x = 37 - (0.8)(7) = 37 - 5.6 = 31.4

b.)

Revenue = bx = (157)(31.4) = 4929.8

Answer:

Step-by-step explanation:

if you multiply -17 by 1.3

-17*1.3=-22.10

Answer:

a 23

Step-by-step explanation:

Yes, Jalen is correct because the rectangle has a perimeter of 20 inches with the smaller side measuring 3 inches and the longer side of the rectangle had to be 7 inches.

In Mathematics and Geometry, the perimeter of a rectangle can be calculated by using this mathematical equation (formula);

P = 2(L + W)

Where:

By substituting the given side lengths into the formula for the perimeter of a rectangle, we have the following;

P = 2(3 + 7)

20 = 2(10)

20 = 20 (True).

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Answer:B) x = 7 sin 65°

Step-by-step explanation:

Sine = \(\frac{opposite}{hypotenuse}\) = \(\frac{x}{7}\)

So 7 × \(\frac{x}{7}\) = x

Answer: 101

Step-by-step explanation: 1+5x20 then 100+1= 101

The total number of workers that were studied can be found to be 139,340,000.

The percent of workers unemployed would be 5. 4 %.

Percentage of unemployed men is 5. 6 % and unemployed women is 5. 1%.

Number of employed workers :

= 74,624,000 + 64, 716, 000

= 139,340,000

Percentage unemployed :

= ( 4, 209,000 + 3,314,000 ) / 139,340,000

= 5. 4 %

Percentage of unemployed men :

= 4,209,000 / 74,624,000

= 5.6 %

Percentage of unemployed women:

= 3,314,000 / 64, 716, 000

= 5. 1 %

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The full question is:

a. How many workers were studied?

b. What percent of the workers were unemployed?

c. Compare the percent unemployed for the men and the women.

do you have it on edg???

Answer:

y=-1/2x+7

Step-by-step explanation:

y-y1=m(x-x1)

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

y=-1/2x+8/2+3

y=-1/2x+4+3

y=-1/2x+7

The value of x is 50 and FTD = 130°

Both of the angles in the diagram must have the same measure because are vertical, then:

3x - 20 = 2x + 30

3x - 2x = 30 + 20

x = 50

That is the value of x.

And we can see that FTD = 2x + 30 = 2*50  + 30 = 130

That is the measure.

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Answer:

1. A square root

2. one distinct endpoint

3. The square root of

on edg

have a nice day! :)

Step-by-step explanation:

1. The function graphed to the left is function. A square root

2.  The curve has and continues infinitely in one direction.

one distinct endpoint

3.  Each y-value is each corresponding x-value. the square root of

The principal square root function. (usually just referred to as the "square root function") is a function that maps the set of nonnegative real numbers onto itself.

1. A radical function contains a radical expression with the independent variable (usually x) in the radicand. Usually radical equations where the radical is a square root is called square root functions.

The graph shown is known as the graph for square root functions.

2. The curve has one distinct end point and continues infinitely in one direction.

3. The square root of each corresponding x-value.

   Each value of y is the corresponding square root of x- values.

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Answer:

y = x + 1

Step-by-step explanation:

Parallel lines have same slope.

y = x - 1

Compare with the equation of line in slope y-intercept form: y = mx +b

Here, m is the slope and b is the y-intercept.

m =1

Now, the equation is,

         y = x + b

The required line passes through (-3 ,-2). Substitute in the above equation and find y-intercept,

        -2 = -3 + b

  -2 + 3 = b

         \(\boxed{b= 1}\)

    Equation of line in slope-intercept form:

                  \(\boxed{\bf y = x + 1}\)      

The equation is :

Solution:

If two lines are parallel to each other, then their slopes are equal. The slope of y = x - 1 is 1. Hence, the slope of the line that is parallel to that line is 1.

We shouldn't forget about a point on the line : (-3, -2).

I plug that into a point-slope which is :

\(\sf{y-y_1=m(x-x_1)}\)

Slope is 1 so

\(\sf{y-y_1=1(x-x_1)}\)

Simplify

\(\sf{y-y_1=x-x_1}\)

Now I plug in the other numbers.

-3 and -2 are x and y, respectively.

\(\sf{y-(-2)=x-(-3)}\)

Simplify

\(\sf{y+2=x+3}\)

We're almost there, the objective is to have an equation in y = mx + b form.

So now I subtract 2 from each side

\(\sf{y=x+1}\)

ANSWER:

a. 39 qt

b. 9.75 gal

STEP-BY-STEP EXPLANATION:

The first thing is to know the conversion factor between gallons and quarts.

We know that 1 gallon is equal to 4 quarts, therefore:

a.

b.

Answer:

1

Step-by-step explanation:

\( \frac{2}{4} + \frac{3}{6} =\frac{1}{2} + \frac{1}{2} \)

\( \frac{1 + 1}{2} = \frac{2}{2} \)

\( = 1\)

Answer:

Hey mate....

Step-by-step explanation:

This is ur answer....

an attribute of a shape or relation; exact reflection of form on opposite sides of a dividing line or plane.

Hope it helps!

Brainliest pls!

Follow me! :)

Answer:

The definition of correspondence is the act of conforming or agreeing with someone or something else. An example of correspondence is when a person acts in the same way she appears to think.

In simple terms, it means communication, generally looking at two things and identifying stuff about them

Hope that helps. x

Answer:

The answer is y=-1x+8 or you can write it this way y=-x+8 either way will work fine.

Step-by-step explanation:

y=mx+b

m=-1

y-y=m(x-x¹)

y-1=-1(x-7)

y-1=-1x+7

+1 +1

y=-x+8

I hope this helps:)

The final result of the integral is:

∫ (log(1 + x²) / (x + 1)²) dx = log(x + 1) - 2 (log(x + 1) / x) - 2Li(x) + C,

where Li(x) is the logarithmic integral function and C is the constant of integration.

We have,

To solve the integral ∫ (log(1 + x²) / (x + 1)²) dx, we can use the method of substitution.

Let's substitute u = x + 1, which implies du = dx. Making this substitution, the integral becomes:

∫ (log(1 + (u-1)²) / u²) du.

Expanding the numerator, we have:

∫ (log(1 + u² - 2u + 1) / u²) du

= ∫ (log(u² - 2u + 2) / u²) du.

Now, let's split the logarithm using the properties of logarithms:

∫ (log(u² - 2u + 2) - log(u²)) / u² du

= ∫ (log(u² - 2u + 2) / u²) du - ∫ (log(u²) / u²) du.

We can simplify the second integral:

∫ (log(u²) / u²) du = ∫ (2 log(u) / u²) du.

Using the power rule for integration, we can integrate both terms:

∫ (log(u² - 2u + 2) / u²) du = log(u² - 2u + 2) / u - 2 ∫ (log(u) / u³) du.

Now, let's focus on the second integral:

∫ (log(u) / u³) du.

This integral does not have a simple closed-form solution in terms of elementary functions.

It can be expressed in terms of a special function called the logarithmic integral, denoted as Li(x).

Therefore,

The final result of the integral is:

∫ (log(1 + x²) / (x + 1)²) dx = log(x + 1) - 2 (log(x + 1) / x) - 2Li(x) + C,

where Li(x) is the logarithmic integral function and C is the constant of integration.

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\(\sf\purple{-5}\) ✅

Step-by-step explanation:

\( - 9 - ( - 4) \\ = - 9 + 4 \\ = - 5\)

Note:-

\(\sf\red{(-)\:x\:(-)\:=\:+}\)

\(\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}\)

Answer:

- 9 -( -4) = -5

Step-by-step explanation:

-9-(-4)

solve the one in the bracket first because there is a minus sign between 9 and the bracket so we cannot use the 9 to multiple the number four in the bracket.

-9+4

the sign has changed to positive because when negative numbers are multiplying each other to will turn in to become positive.

so -9+4= -5

solution.

-9-(-4)

-9+4

-9+4= -5

therefore the answer is -5.

Answer:

Step-by-step explanation:

23/40 = 0.575