Suppose the Federal Reserve set the reserve requirement at 20%. Assume that banks lend all reserves that are not required to be held. Round the answers to two decimal places.

The width of the rectangle as a function of its length is w = 55/l

The formula for finding the area of a rectangle is expressed as:

A = lw

where

l is the length

w is the width of the rectangle

Given that A = 55 square inches, then;

55 = lw

w = 55/l

Hence the width of the rectangle as a function of its length is w = 55/l

Learn more on area of rectangle here; https://brainly.com/question/2607596

d is the answer

let the number of tickets be x and y

then the prices are multiplied to the number of tickets.

Answer:

16

Step-by-step explanation:

4 x 4 = 16 because you have to go through city E

To find the measure of Angle A, we'll need to use a trigonometric function.

Remember: SOH-CAH-TOA

Looking from Angle A, we know the opposite side and the hypotenuse. Therefore, we should use the sine function.

sin(A) = 9 / 18

---To solve for A, you'll need to use the inverse sin function on your calculator. It should look like so: sin^-1()

The inverse sin of 1/2 = 30

Answer: first option, 30 degrees

Hope this helps!

Answer:

Blank 1. is 2 feet

Blank 2. is 28 grams

Blank 3. is 8 mililiters

Step-by-step explanation:

Step-by-step explanation:

the average score would be 3 i think

Answer:

x = 50 degrees

Step-by-step explanation:

all the angles of a triangle add up to 180

a right angle is ninety degrees

90 + the 40 degrees on the top is 130 degrees

180 - 130 is 50

x = 50

Answer:

[tex] \: [/tex]

Step-by-step explanation:

Before finding the value of x, we must know this first.

[tex] \\ \longrightarrow \qquad { \underline{ \boxed{ \pmb{ \frak{Sum \: of \: all \: \: angles_{(Triangle)} = 180 {}^{ \circ} }}}}} \: \: \bigstar \\ \\ [/tex]

This is a right angled triangle so,

[tex] \\ \longrightarrow \qquad { { { \pmb{ \sf{ \angle \: 1 +\angle \: 2 + \angle \: 3= {180}^{ \circ} }}}}} \\ \\ [/tex]

[tex]\longrightarrow \qquad { { { \pmb{ \sf{ x^{ \circ} + {90}^{ \circ} + {40}^{ \circ} = {180}^{ \circ} }}}}} \\ \\ [/tex]

Adding like terms we get :

[tex] \\ \longrightarrow \qquad { { { \pmb{ \sf{ x^{ \circ} + {130}^{ \circ} = {180}^{ \circ} }}}}} \\ \\ [/tex]

Subtracting 130° from both sides :

[tex] \\ \longrightarrow \qquad { { { \pmb{ \sf{ x^{ \circ} + {130}^{ \circ} - {130}^{ \circ} = {180}^{ \circ}- {130}^{ \circ}}}}}} \\ \\ [/tex]

[tex]\longrightarrow \qquad { \underline { \boxed{ \pmb{ \frak{ x^{ \circ} = {50}^{ \circ}}}}}} \: \: \bigstar\\ \\ [/tex]

Therefore,

Do you think you could attach a photo?

Answer:

$1.50

Step-by-step explanation:

24 - 6 = 18

18/9 = cost of 1 ride

cost of 1 ride = $2

2 carnival games = 3 x 2 = $6

18 - 6 = 12

12 - 3.5 = $8.50

five rides cost = 5 x $2 = $10

10 - 8.5 = $1.50

Answer:

Step-by-step explanation:

Find the area of the sheet metal

Area = L * w

L = 12

w = 8

Area = 12 * 8

Area = 96 square inches.

Find the value of the sheet metal

1 square inch costs $2.00

96 square inches cost 2 * 96 = $192.00

Answer:

24.5 is our interquartile range

Step-by-step explanation:

First, you need to order the data set from least to greatest:

41, 44, 44, 49, 59, 60, 62, 75, 79

We have a total of 9 numbers in the data set.  

**Note: Our minimum is 41 and our maximum is 79, this is important**

Next, we need to find the median in order to get the numbers divided into groups to find quartiles 1 and 3 easily.

Our median is the middle number which is 59.

**If you have an even set, find the 2 numbers in the middle add them, then divide by 2.**

Our data set without the median:

Data set 1: 41, 44, 44, 49

Data set 2: 60, 62, 75, 79

Now find the median of data sets 1 and 2.

Data set 1: 44+44/2 -> 88/2 =44

Data set 2: 62+75/2  -> 137/2 = 68.5

Now that we have quartiles 1 and 3, we need to take 68.5 and subtract it by 44.

68.5 - 44 = 24.5

24.5 is our interquartile range

Answer:

w=2

Step-by-step explanation:

Step-by-step explanation:

first simplified by dividing both sides by -5.

then, at

w - 5 = -3

add 5 to both sides.

and we get

w = 2

Answer:

y = x + 6

Step-by-step explanation:

The y-intercept is 6

and the slope is the change in y over the change in x, which is 1

So, use the equation y = m*x + c

m is the (slope) = 1

c is the (y-intercept) = 6

Your answer is: y = x + 6

PLEASE RATE!! I hope this helps!!

If you have any questions comment below

Answer:

sin A = 8/17.

Step-by-step explanation:

As cos A =  15/17 one leg of the triangle = 15 and the hypotenuse = 17.

The side length 15 is the adjacent side to angle A.

First find the length of other side of the right triangle, using the Pythagoras

Theorem:

Opposite side to ange A = √(17^2 - 15^2)

= √64

= 8 units.

sin A = opp side / hyp

= 8/17.

Answer:

X=2000

Step-by-step explanation:

[tex]0.02x + 0.1(6000) = 0.08(x + 6000)[/tex]

[tex]0.02x + 600 = 0.08x + 480[/tex]

[tex]600 - 480 = 0.08x - 0.02x[/tex]

[tex]120 = 0.06x[/tex]

[tex]x = \frac{120}{0.06} [/tex]

[tex]x = \frac{120 \times 100}{0.06 \times 100} [/tex]

[tex]x = \frac{120}{6} \times 100[/tex]

[tex]x = 20 \times 100 = 2000[/tex]

X=2000

−6146.153846154

Step-by-step explanation:

0.02x+6=0.8(x+6000)

0.02x+6=0.8x+4800

0.02x+6−0.8x=4800

−0.78x+6=4800

−0.78x=4800−6

−0.78x=4794

x=4794/-0.78

x=479400/-78

x=- 79900/13

The operation between a rational and a irrational number that results in a rational number is a multiplication, hence the expression ab could represent a rational number.

If a number can be represented by a fraction, it is rational, otherwise, it is irrational.

The addition/subtraction of a rational and an irrational numbers is irrational, while the multiplication is rational, hence the expression ab could represent a rational number.

More can be learned about rational numbers at https://brainly.com/question/10814303

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Let's solve ~

[tex]\qquad \tt \dashrightarrow \:x - \dfrac{1}{2} \geqslant 43 [/tex]

[tex]\qquad \tt \dashrightarrow \:x \geqslant43 + \dfrac{1}{2} [/tex]

[tex]\qquad \tt \dashrightarrow \:x \geqslant \dfrac{86 + 1}{2} [/tex]

[tex]\qquad \tt \dashrightarrow \:x \geqslant \dfrac{87}{2} [/tex]

hope this helps Belinda aunty ~

As per linear equation, option-A and option-B are the equations of  straight line.

"A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation.

The standard form of a linear equation in one variable is of the form Ax + B = 0. Here, x is a variable, A is a coefficient and B is constant. The standard form of a linear equation in two variables is of the form Ax + By = C. Here, x and y are variables, A and B are coefficients and C is a constant."

Given equations are:

A. [tex]3x + 2y = 8[/tex]

It is an equation of a straight line as it matches the standard form of a linear equation.

B. [tex]y = \frac{x}{2} - 5[/tex]

This is also an equation of a straight line as it matches the standard form of a linear equation.

C. [tex]y = x^{2} + 3[/tex]

It is not an equation of a straight line as it does not match the standard form of a linear equation.

Learn more about a linear equation here: https://brainly.com/question/11897796

#SPJ2

y=1/2x

Hope it helps.

Do comment if you have any query.

Answer:

y=1/2x

Step-by-step explanation:

Answer:

550pages and 10 hours

Step-by-step explanation:

Answer:

80 years

Step-by-step explanation:

(.025)*n = 2     solve for n  

Answer:

165

Step-by-step explanation:

area of a hexagon = 1/2 × apothem × perimeter

to find the perimeter of a hexagon we simply multiply the side length by 6 ( because there are 6 sides in a hexagon )

given side length = 11

so perimeter = 6 × 11 = 66

now to find area

remember area = 1/2 × apothem × perimeter

given apothem = 5 and perimeter = 66

so area = 1/2 × 5 × 66

1/2 × 5 = 2.5

2.5 × 66 = 165

Answer:

8 hours

Step-by-step explanation:

11 hours = $176

⇒ 1 hour = $176 ÷ 11 = $16

To determine how many hours she would have to work to make $128, divide $128 by $16:

⇒ number of hours = $128 ÷ $16

                                = 8 hours

___________________________________________________

[tex]\frac{128\times11}{176}[/tex]

___________________________________________________

[tex]\frac{8\times11}{11}\\ 8[/tex]

I hope this helps you

:)

Answer:

B (2.5, -0.5)

Answer:

author link

ghanami

Ace

2.9K answers

12.1M people helped

hello :

note :

an equation of the circle Center at the w(a,b) and ridus : r is :

(x-a)² +(y-b)² = r²  

in this exercice : x²+y²-16x+6y+53=0

(x²-16x) +( y²+6y ) +53 = 0

(x² -2(8)x +8² -  8²) +(y² +2(3)x -3²+3² ) +53=0

(x² -2(8)x +8²) -  8² +(y² +2(3)x +3²)-3²  +53=0

(x-8)² +( y+3)² = 20

the center is :  w(8,-3) and ridus : r  = √20

Still stuck? Get 1-on-1 help from an expert tutor now.

Step-by-step explanation:

Answer:

Similar

Step-by-step explanation:

We can say that the triangles are similar by looking at the angle measurements

Angle B = 35

Angle F = 55

Both angles A and D = 90 because these are right triangles

We can say the measure of angle E = 35 because the sum of angles in a triangle equal to 180

Same rule applies to angle C

Answer:

(0,12)

Step-by-step explanation:

B.(0,12)

3

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

[tex]31+22-50[/tex]

____________________________________________

Calculate

[tex]53-50[/tex]

____________________________________________

Calculate the sum or difference

[tex]3[/tex]

I hope this helps you

:)

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Area of circle :

[tex]\qquad \sf  \dashrightarrow \:\pi r {}^{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \: \pi\times (3.5) {}^{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \:12.25 \: \pi[/tex]

[tex]\qquad \sf  \dashrightarrow \:38.465 \: \: unit {}^{2} [/tex]

Answer:

38.465 units²

Step-by-step explanation:

The formula to find the area of a circle is πr². Simply substitute the radius in the formula to find the area.

Substituting the radius in the formula:

⇒ πr²

⇒ π(3.5)²                                                                        [Radius (r) = 3.5 units]

Evaluating the area:

⇒ π x 12.25

⇒ 3.14 x 12.25

⇒ 38.465 units²