Including a 8% sales tax, an inn charges $243 per night. Find the inn's nightly cost before the tax is added.

The inn's nightly cost before tax is added is?

Arianna North agreed to borrow $12,500 to buy a new chilli and agreed to pay back $13,250 in 270 days at an interest rate of 8.11%.

Divide this same principal by the lending rates, the duration of time, and other factors to result at simple interest. Simple return Equals principal + interest + hours is the marketing formula. This system makes it easiest to calculate interest. One of most typical technique to figuring out interest is as a portion of the principal sum. He will only pay his share of the 100% interest, for example, if he borrow $100 from with a friend and offers to return the loan with 5% interest. $100 (0.05) = $5. When you borrow money, you must pay interest, and when you give it out, you must charge interest. Interest is often determined as an indicator of the overall of the loan total. The interest on the loan is this percentage.

given

Arianna North took out a $12,500 loan

She committed to repaying $13,250 over 270 days.

If x is the interest rate she was paying,

x= 13250 - 12500

= 750

So, x= 750/ 12500 (270/ 365)

x% = 750/ 9,246.57

x% = 0.0811

x%= 8.11%

Arianna North agreed to borrow $12,500 to buy a new chilli and agreed to pay back $13,250 in 270 days at an interest rate of 8.11%.

To know more about interest rate visit:

https://brainly.com/question/28792777

#SPJ1

Answer:

The likelihood of choosing a green marble is (c) Equally likely and unlikely

How to determine the likelihood of choosing a green marble

From the question, we have the following parameters that can be used in our computation:

P(green) = five tenths.

Express five tenths as a mathematical expression

So, we have the following representation

P(green) = 5/10

Evaluate the quotient

This gives

P(green) = 0.50

A probability of 0.50 is halfway between 0 and 1

This means that it is likely and unlikely at the same time

Hence, the statement that represents the interpretation of the likelihood of choosing a green marble is (c) Equally likely and unlikely

Answer:

C

Step-by-step explanation: 5/10 is equal to 50% or 1/2 which is equally likely and unlikely.

Answer: search it up its a bit

Step-by-step explanation:

Mrs Parkow's 5-digit mystery number is 73248.

Ten thousand is the starting point for five-digit numbers, which go up to ninety-nine million, nine hundred and ninety-nine. Integers are present in the places of ones, tens, hundreds, thousands, and ten thousand in these numbers. Any positive number may be placed at these places, with the exception of 0 at the ten thousand places.

A general 5-digit number can be written as:

a×10000 + b×1000 + c×100 + d×10 + e where a, b, c, and d are single-digit numbers.

a is the ten thousand digit

b is the thousands digit

c is the hundreds digit

d is the tens digit

e is the unit digit.

Let 8 be at one's place that is e

Now, it is given that 8 is in a place that is 10 times less than the place of 4.

This implies 4 is at the ten's place that is d.

Next, it is given that 3 is in a place that is 100 times greater than the place of 4.

That is 100×10 = 1000 place

So, 3 is at the place of b.

The 2 is in a place that is 10 times less than the place of the 3. So, 2 is at the place of c.

The 7 is in a place that is 100 times greater than the 2. That is 100×100 = 10,000 places.

Thus, 7 is at the place of a.

Thus, we obtain

a= 7

b= 3

c= 2

d= 4

e= 8

Therefore, the 5-digit mystery number is 73248.

To learn more about mystery numbers, visit:

brainly.com/question/24465179

#SPJ1

On solving the provided question, we can say that Volume of cylinder, V = [tex]\pi r^2 X h[/tex] => V = 3.14 * 8*8*4 = 803.84 cubic m

One of the most fundamental curved geometric forms is the cylinder, which is often a three-dimensional solid. It is referred to as a prism with a circle as its base in elementary geometry. Several contemporary fields of geometry and topology also define a cylinder as an indefinitely curved surface. A three-dimensional object known as a "cylinder" consists of curving surfaces with circular tops and bottoms. A cylinder is a three-dimensional solid figure that has two bases that are both identical circles joined by a curving surface at the height of the cylinder, which is determined by the distance between the bases from the center. Examples of cylinders are cold beverage cans and toilet paper wicks.

here,

we have a cylinder

and,

radius, r = 8m

height, h = 4m

Volume, V = [tex]\pi r^2 X h[/tex]

V = 3.14 * 8*8*4 = 803.84 cubic m

To know more about cylinder visit:

https://brainly.com/question/16134180

#SPJ1

Answer:

$40

Step-by-step explanation:

$28 is the reduced price 30%, i.e. the product has a (100-30)% = 70% of its original value.

Divide the discounted price by the decimal of the percentage it represents with respect to the original price, The result is the original price

70% = 70/100 = 0.7

28/ 0.7 = 40

Hope this helps.

The graph of rectangular hyperbola represents the function f(x)=4/x.

Which graph represents the function *{(x) = 4/x?

 Given that,

Which graph represents the function f(x) = 4⌈x⌉?

Now,

to represent the graph of Y = 4 IxI.

So,

Taking x = 1, we get

Y = 4 IxI

Y = 4 I1I

Y = 4 .

Taking x = 2, we get

Y = 4 IxI

Y = 4 I2I

Y = 8

Taking x = 3, we get

Y = 4 IxI

Y = 4 I3I

Y = 12.

Taking x = -1, we get

Y = 4 IxI

Y = 4 I-1I

Y = 4×1

Y = 4.

Taking x = -2, we get

Y = 4 IxI

Y = 4 I-2I

Y = 4×2

Y = 8.

Taking x = -3, we get

Y = 4 IxI

Y = 4 I-3I

Y = 4×3

Y = 12

Property of modulus function -

IxI = x , where x is positive or negative

I-xI = x.

Therefore, from the above data we have drawn a graph of function f(x) = 4ixI.

To learn more about function refers to:

https://brainly.com/question/11624077

#SPJ1

Answer:

84.71%

Step-by-step explanation:

24 out of 28:

24/28 = 0.8471

0.8471*100 = 84.71%

i) The graph of y = tan x will be a periodic function with period of 180 degrees, with asymptotes at x = (n+1/2)π, where n is an integer. The graph of y = 4 cos x will be a cosine function with amplitude 4 and period 360 degrees.

ii) The roots of the equation tan x = 4 cos x, denoted by a and ß, can be found by solving the equation tan x = 4 cos x for x. The two solutions will be a and ß, where a <ß.

iii) The equation tan x = 4 cos x can be written as 4 sin^2x+ sin x−4=0 by using trigonometric identities. The value of ß-a can be found by using the quadratic formula on this equation. However, it's not possible to give you an exact value without the specific value of a.

Answer:-6

Step-by-step explanation:

The solution to the equation "Twelve more than p equals 6" is p = -6.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.com

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

The given equation is:

12 + p = 6

To solve for p, we need to isolate p on one side of the equation.

We can do this by subtracting 12 from both sides:

12 + p - 12 = 6 - 12

p = -6

Therefore,

The solution to the equation "Twelve more than p equals 6" is p = -6.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ2

Let x be the number. Then, we have the inequality:

3(x + 15) ≤ 19

Expanding the left side:

3x + 45 ≤ 19

Subtracting 45 from both sides:

3x ≤ -26

Dividing both sides by 3:

x ≤ -8.67

So, the solution to the inequality is x ≤ -8.67, which means that the number x must be less than or equal to -8.67.

Answer:

5%

Step-by-step explanation:

1500 / 75 = 0.05 as a percentage its 5 %

The compound interest at the end of 6 months is $101.2248

Compound interest is interest calculated on the initial principal, which also includes all of the accumulated interest from previous periods. The compound interest equals total amount of principal and interest in future (or future value) minus principal amount at present (or present value).

Given here: principal balance=$1265.31  and annual rate is i=8%

Thus compound interest after 6 months is =  [P (1 + i)ⁿ] – P

                                                                       =1265.31(1+0.080¹-1)

                                                                       =101.2248

Hence, the compound interest after six months is $  101.2248

Learn more about interest here:

https://brainly.com/question/25845758

#SPJ1

Answer:

From your selections of answers, It's B: 12 x^3 - 21 b^5, but it's not completely simplified.

Step-by-step explanation:

Simplify the following:

3 (3 x^3 - 7 b^5) + 3 x^3

3 (3 x^3 - 7 b^5) = 9 x^3 - 21 b^5:

3 x^3 + (9 x^3 - 21 b^5)

Grouping like terms, 9 x^3 + 3 x^3 - 21 b^5 = (3 x^3 + 9 x^3) - 21 b^5:

(3 x^3 + 9 x^3) - 21 b^5

3 x^3 + 9 x^3 = 12 x^3:

12 x^3 - 21 b^5

Factor 3 out of 12 x^3 - 21 b^5:

Answer:  (3 (4 x^3 - 7 b^5)) = 12 x^3 - 21 b^5

Domain: 4 1 2 3 0  

Range: -5 0 -3 2 -1

The domain of a function is the set of values that we are allowed to plug into our function. This set is the x values in a function such as f(x). The range of a function is the set of values that the function assumes. This set is the values that the function shoots out after we plug an x value in.

here, we have,

given that,

        x                               y

-5 0 -3 2 -1                 4 1 2 3 0

let, y=f(x)

which is domain of x-range.

hence, Domain: 4 1 2 3 0  

           Range: -5 0 -3 2 -1

To learn more on domain & range click:

https://brainly.com/question/2622299

#SPJ1

The circumference of the larger pizza is 12.56 longer than the smaller pizza.

The length around the circle or the perimeter of the circle is called its circumference.

Given that, Anthony ordered two pizzas for a party. One was a small pepperoni pizza with a radius of 5 inches, and the other was a large cheese pizza with a 7 in. radius.

We need to find how much longer than the circumference of the smaller pizza,

We know that,  

Circumference of a circle = 2πr.

Therefore,

Circumference of the larger pizza = 2 × 3.14 × 7 = 43.96 in

Circumference of the smaller pizza = 2 × 3.14 × 5 = 31.4 in

Therefore,

Subtracting the circumference of smaller pizza from larger pizza to get the difference = 43.96 - 31.4 = 12.56 in

Hence, the circumference of the larger pizza is 12.56 longer than the smaller pizza.

Learn more about circumference, click;

brainly.com/question/4268218

#SPJ1

Answer:

so the answer is

Step-by-step explanation:

-3/2

so how I got this is -4 1/2 would be

-9/2 so your new equation is 3+ -9/2 then you would just do keep change flip so no 3/2 - -9/2 and then you would get -3/2.

Answer:

48 pieces of jewelry (if you're writing this out be sure to add units as some teachers are sticklers for that!)

Step-by-step explanation:

20% of 40 is 8. This means she needs to sell 8 more than 40 this month. So, she must sell 48 pieces (40+8=48).

Hope this helps!

The number is shown as a quotient in mathematics, where the numerator and denominator are split.

A fraction is a piece of the entire. In mathematics, the number is represented as a quotient, where the numerator and denominator are divided. Both are integers in a straightforward fraction. In the numerator or denominator of a complex fraction is a fraction. A correct fraction has a numerator that is lower than its denominator.

Fractions are used to depict the components of a whole or group of items. Two components make up a fraction. The numerator is the number that appears at the top of the line. It indicates how many equally sized pieces of the entire thing or collection were removed. The denominator is the quantity listed below the line.

Let the given equation be [tex]$$1 / 10 \times 9 / 10$$[/tex]

Follow the PEMDAS order of operations

Multiply and divide (left to right)

[tex]$$\begin{aligned}& 1 / 10=\frac{1}{10} \\& =\frac{1}{10} \times 9 / 10\end{aligned}$$[/tex]

simplifying the equation, we get

[tex]$$\begin{aligned}& \frac{1}{10} \times 9=\frac{9}{10} \\& =\frac{9}{10} / 10\end{aligned}$$[/tex]

[tex]$$\begin{aligned}& \frac{9}{10} / 10=\frac{9}{100} \\& =\frac{9}{100}\end{aligned}$$[/tex]

To learn more about fractions refer to:

https://brainly.com/question/78672

#SPJ1

Answer:

9

Step-by-step explanation:

1/2 divided by x =1/18

1/2=1/18*x

18*1/2=18*1/18x

x=9

The simplified form of the expression is -46p - 72.

In mathematics, we have to note that if we have an expression, then the expression can be written in the simplest way that is possible and this is called the simplified form of the expression.

We have that if we put the sentences into words;

(-6 1/2p) + (3/4p - 9)

(-13/2p) + (3p - 36/4)

8(-13/2p) + 8 (3p - 36/4)

-52p + 2(3p - 36)

-52p + 6p - 72

-46p - 72

Hence the expression can be said to have been simplified.

Learn more about simplification:https://brainly.com/question/23509407

#SPJ1

Answer:

Step-by-step explanation:

1             5
_   div    _
2             3

1/2 x 3/5

1              3
       x            =     3/10
2              5

To calculate the number of revolutions per minute (RPM) that the wheels of the truck make, we can use the formula:

RPM = (Speed in miles per hour) / (Wheel circumference in inches) x (12 inches/foot) x (1 minute/60 seconds) x (1 foot/5280 miles)

The wheel circumference can be calculated by using the formula C = 2πr, where C is the circumference, π is pi (approximately 3.14), and r is the radius of the wheel (half the diameter).

So first we need to find the radius of the wheel:

r = 22 inches / 2 = 11 inches

Now we can calculate the wheel circumference:

C = 2πr = 2 * 3.14 * 11 inches = 69.96 inches

Now we can calculate the RPM:

RPM = (55 mph) / (69.96 inches) x (12 inches/foot) x (1 minute/60 seconds) x (1 foot/5280 miles)

RPM = 814.85

The wheels of the truck make approximately 814.85 revolutions per minute.

To calculate the angular speed of the wheels in radians per minute, we can use the formula:

ω = (RPM x 2π) / 60

ω = (814.85 x 2π) / 60 = 51.64 rad/min

The angular speed of the wheels is 51.64 radians per minute.

Answer:

Each apple cost $1.45.

Step-by-step explanation:

To find the cost of each apple, we need to divide the total cost of $37.70 by the number of apples, which is 26.

$37.70 ÷ 26 = $1.45

Therefore, each apple costs $1.45.

The congruency of triangle MNO and triangle XYZ can be proven using the following two-column proof:

What in mathematics is a congruence?

Two figures are said to be "congruent" if they can be positioned perfectly over one another. Both of the bread slices are the same size and shape when stacked one on top of the other. Congruent refers to things that are exactly the same size and shape.

Given: Line segment OZ bisects line segment MN and line segment XZ, and MNO is reflected across line OZ to form XYZ.

Prove: Triangles MNO and XYZ are congruent.

Statements | Reasons

OZ bisects MN, OZ bisects XZ | Given

Angle MOZ = Angle XOZ, Angle NOZ = Angle YOZ | Definition of angle bisector

∠MOZ = ∠XOZ, ∠NOZ = ∠YOZ | Using Corresponding angles postulate

∠MON = ∠XOY, ∠NOZ = ∠YOZ | Using definition of angle bisector

m∠MON = m∠XOY, m∠NOZ = m∠YOZ | Using Angle addition postulate

MN = XZ, MO = XO, NO = YO | Using Segment addition postulate

MNO ≅ XYZ | Using SAS congruence theorem

Therefore, we can conclude that the triangles MNO and XYZ are congruent.

Learn more about congruence

https://brainly.com/question/2938476

#SPJ1

The Arithmetic series is as follows  :  -3423 , - 3443 , -3463 , -3483,.... when d = -20 and a20 = -3803

What is Arithmetic progression?

Arithmetic progression can be defined as the sequence of numbers in which the difference between any consecutive numbers is same.

Given ,

To evaluate arithmetic series.

Given ,

a20 = -3803

and d = -20

an = 197 - 200n

a20 = a+(20-1)d

a20 = a+ 19d

-3803  = a + 19*-20

-3803 = a-380

a = 380 - 3803

a =  - 3423

so, a1 = -3423

a2 = a+d = -3423 + (-20)

a2 = -3443

a3 = a+2d

= -3423 - 2 * 20

= -3463

a4 = a+3d

= -3423 - 2*30

= - 3483

Hence, The Arithmetic series is as follows  :  -3423 , - 3443 , -3463 , -3483,.... when d = -20 and a20 = -3803

To learn more about Arithmetic progression from the given link.

https://brainly.com/question/14863868

#SPJ1

Answer:

Step-by-step explanation:

We may use the chain rule to find the derivative of f(x) = (5 + e2x). The chain rule asserts that if y = f(u) and u = g(x), then the derivative of y with respect to x is:

dy/dx = dy/du * du/dx

In this situation, let u = 5 + e2x, and we get:

f(u) = √u

And we know that the derivative of u with regard to u is:

df(u)/du = 1/(2*u)

We also know:

du/dx = 2e2x

So, when we plug these into the chain rule, we get:

df(x)/dx = du/dx = 1/(2*u) * 2e2x = e2x/((5 + e2x))

As a result, the derivative of f(x) = (5 + e2x) is:

f'(x) = e2x / (5 + e2x)

The required inverse of the function at when x = 8 is 3/2.

In mathematics, a function is represented as a rule that produces a distinct result for each input x. The collection of all the values that the function may input while it is defined is known as the domain. The entire set of values that the function's output can produce is referred to as the range. The set of values that could be a function's outputs is known as the co-domain.

Given:

f(x) = 2x + 5

first we need to find the inverse of the function:

Let y = g(x)

y= 2x + 5

Replace y with x

x = 2y + 5

Make y the subject of the formula

2y = x - 5

y = (x - 5)/2

So, the inverse of the expression is [tex]f^{-1}[/tex](x) = (x - 5)/2

Substitute x = 8

[tex]f^{-1}[/tex]((8) = (8 - 5)/2

[tex]f^{-1}[/tex](8)  = 3/2

Hence, the required inverse of the function at when x = 8 is 3/2

Learn more about function here:

brainly.com/question/11735394

#SPJ1

The fraction of the spool was used for the project is 4/21

From the question, we have the following parameters that can be used in our computation:

Yarm = 2/7

Fraction used  2/3 of the yarn

This means that

Fraction used = 2/3 * 2/7

Evaluate the product

Fraction used = 4/21

Hence, the fraction used is 4/21

Read more about fraction at

https://brainly.com/question/1622425

#SPJ1