Victoria goes out to lunch and the bill is $20.40. She wants to leave a 15% tip. What will the total cost of her meal be?

Answer:

41.4 in

Step-by-step explanation:

(sin 80) opposite      =    x

          hypotenuse        42

x = 42 * sin (80)  = 41.4 in

Answer:

Firstly. 110.25 + 55.45 = 165.7

1 muffin = 165.7

4.5muffin= x

cross multiply

X = 4.5 x 165.7

745.65✅

Answer:

xmdmkspwkwkpwmannsjsk

The eigenvalues of the coefficient matrix A is λ = 5 ± 6i

An eigenvector corresponding to the eigenvalue with a positive imaginary part is v = k(3 + 2i, 1)

The general solution can be expressed as

X(t) = e^(5t) × (C1 × cos(6t) + C2 × sin(6t)) × (3 + 2i, 1)

Given,  dx/dt = 7x + 13y and dy/dt = -2x + 9y.

Eigenvalues of the coefficient matrix A:

The coefficient matrix A is:

\(A = \left[\begin{array}{cc}7&13\\-2&9\end{array}\right]\)

To get the eigenvalues, we have to solve the characteristic equation.

| (7 - λ) (9 - λ) - (-2)(13) | = 0

63 - 7λ - 9λ +λ² + 26 =0

λ² - 16λ + 89 =0

Solving this equation, we get the eigenvalues λ = 5 ± 6i.

The positive imaginary part eigenvalue λ = 5 + 6i. Let v be the eigenvector now we have to solve the system (A - λI)v = 0.

| (2 - 6i)  13     | |x| = |0|

|  -2      (4 - 6i)| |y| = |0|

After solving this system, we get an eigenvector v = k(3 + 2i, 1), where k is a constant.

The general solution of the given system:

The general solution can be expressed as

X(t) = e^(5t) × (C1 × cos(6t) + C2 × sin(6t)) × (3 + 2i, 1)

Where C1 and C2 are constants.

Learn more about Eigenvalues here

brainly.com/question/16945116

#SPJ4

-2 = 3x + 7

subtract 7 from both sides

-9 = 3x

divide by 3

-3 = x

check

-2 = 3 (-3) + 7

-2 = -9 + 7

-2 = -2

The proportion of people who approved of both leaders exists 40%.

The logical connections between two or more sets of objects are shown by a Venn diagram, which uses circles or other forms that overlap. They frequently act as a visual organization tool, showcasing how things are alike and different.

A Venn diagram is a type of visual organizer that examines the connections among a variety of items. It consists of overlapping circles. To organize things, numbers, and shapes, they are frequently utilized. An instruction or label that relates in some way to the data is given to each circle.

As stated in the title. 60% of individuals favored leader B, and 65% favored leader A. If 15% of the population remained closed to the leaders,

The proportion of people who approved of both leaders

= 60 % - 20 % = 40 %

To learn more about Venn diagram refer to;

https://brainly.com/question/2099071

#SPJ1

Answer:

is your a nswer in it's simplest form

Step-by-step explanation:

Abdullah and Amna bought a car for $9000, Abdullah paid 45% of the $9000 and Amna paid

the rest.

b) Write down the ratio of the payments Abdullah: Amna in it's simplest form.

Abdullah paid 45% means Amna paid 55% (100% - 45% = 55%), so the Abdullah : Amna ratio is 45 : 55, let's simplify by dividing the two parts by 5 and we will have the ratio in its simplest form.

45 : 55

let's simplify

9 : 11 is your answer

Given the following information: Five years ago, someone used her $40,000 saving to make a down payment for a townhouse in RTP. The house is a three-bedroom townhouse and sold for $200,000 when she bought it. After paying down payment, she financed the house by borrowing a 30-year mortgage.

Mortgage interest rate is 4.25%. Right after closing, she rent out the house for $1,800 per month. In addition to mortgage payment and rent revenue, she listed the following information so as to figure out investment return: 1. HOA fee is $75 per month and due at end of each year 2. Property tax and insurance together are 3% of house value 3. She has to pay 10% of rent revenue for an agent who manages her renting regularly 4. Her personal income tax rate is 20%. While rent revenue is taxable, the mortgage interest is tax deductible. She has to make the mortgage amortization table to figure out how much interest she paid each year 5. In the last five years, the market value of the house has increased by 4.8% per year 6.

To know more about interest visit:

https://brainly.com/question/30393144

#SPJ11

a. The system of equations is

b. For the hexagon

A hexagon is a regular polygon with six sides.

Let x be the acute angles of the hexagon and y be the obtuse angles of the hexagon.

Since he measures of the obtuse angles in the hexagon are 30 more than twice the measures of the acute angles, we have that

y = 2x + 30

Also, we know that the sum of  interior angles of a polygon is (n - 2)180.

Since x  is the interior angle and n = 6, we have that

6x = (n - 2)180.

x = (n - 2)180/6

x = 30(n - 2)

So, the system of equations is

y = 2x + 30 (1) and

x = 30(n - 2)  (2)

Since

y = 2x + 30 (1) and

x = 30(n - 2)  (2)

Substituting n = 6 into (2), we have

x = 30(6 - 2)

x = 30(4)

x = 120

Substituting x = 120 into (1), we have

y = 2x + 30

y = 2(120) + 30

y = 240 + 30

y = 270

So,

Lear more about hexagon here:

https://brainly.com/question/30015863

#SPJ1

The factor of the given expression 12x^3 - 2x² + 18x-3 is as follows (6x-1)(2x²+3).

A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is  ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.

The given expression is

12x^3 - 2x² + 18x-3

= 2x²(6x-1) + 3(6x-1)

= (6x-1)(2x²+3)

Learn more about quadratic equations;

brainly.com/question/13197897

Answer:

A.

Step-by-step explanation:

The total number of engineering students is 176 approximately among the 750 students enrolled in the college by using the proportionate formula.

It is mentioned here that a college has 19 students of engineering for every 81 students who got enrolled.

Therefore the ratio of engineering students to total number of students is as follows:

No. of engineering students = 19

Total number of students = 81

Ratio = \(\frac{19}{81}\)

Now if the total number of students that the college has is 750 then the number of engineering students can be found by using the proportionate formula as the ratio of the engineering to the total students will remain same.

Total number of students = 750

Let the number of engineering students be y

Ratio = \(\frac{y}{750}\)

Comparing it with the above ratio and using the proportionate formula,

\(\frac{19}{81} = \frac{y}{750}\)

⇒ y = \(\frac{19*750}{81}\)

⇒ y = 175.925

So approximately 176 were the engineering students among 750 students enrolled.

To learn more about proportionate formula click here:

https://brainly.ph/question/1455597

#SPJ4

Answer:

The number is each coins

1 rupee = 30

50 paisa = 60

25 paisa = 120

Step-by-step explanation:

1 rupee

50 paisa = 0.5 rupee

25 paisa = 0.25 rupee

1 : 2 (×0.5): 4(×0.25) = 1 rupee : 1 rupee : 1 rupee

90÷ 3 = 30

The number is each coins

1 rupee = 30

50 paisa = 60

25 paisa = 120

Answer:

Step-by-step explanation:

so basically it would be -5 divided by 1

The set of coordinates representing the function will be {(6, 3), (4, 5), (2, 3), (0, 5)}. Then the correct option is B.

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

Let's check all the options, then we have

A.  {(-5, -1), (-3, -3), (-1, -5), (-5, -7)}

At x = -5, the number of values of 'y' will be 2. Then it is not a function.

B.  {(6, 3), (4, 5), (2, 3), (0, 5)}

For each value of 'x', the values of 'y' will be unique. Then it is a function.

C.  {(4, -3), (-4, -6), (4, 3), (-4, 6)}

At x = 4, the number of values of 'y' will be 2. Then it is not a function.

D.  {(2, 4), (2, -4), (4, 8), (6, 2)}

At x = 2, the number of values of 'y' will be 2. Then it is not a function.

More about the function link is given below.

https://brainly.com/question/5245372

#SPJ2

Answer:

-13

Step-by-step explanation:

PEMDAS

5-2*3^2

5-2*9

5-18

answer: -13

Answer:chicken

Step-by-step explanation:

Put the chicken in the oven turn to 450 degrees let it sit for 4-5 hours

The range for the southern cities is 145 mi² greater than the range for the northern cities.

We must determine the difference between the largest and smallest areas in each group in order to determine the range of the cities.

Minneapolis has the smallest area (58 miles2) and the largest (305 miles2) of the northern cities. Therefore, the northern cities' range is:

305 mi² - 58 mi² = 247 mi²

For the southern cities, the smallest area is 111 mi² (Orlando) and the largest area is 503 mi² (Los Angeles). So the range for the southern cities is:

503 mi² - 111 mi² = 392 mi²

To find how much greater the range is for the southern cities, we subtract the range for the northern cities from the range for the southern cities:

392 mi² - 247 mi² = 145 mi²

As a result, the cities in the south have a range that is 145 miles longer than the cities in the north.

know more about range visit :

https://brainly.com/question/30067462

#SPJ1

Answer:

The circulatory system

Step-by-step explanation:

Is this math? lol

:]

The frequency at which an individual purchases coffee or similar drinks from a coffee shop varies greatly depending on factors such as personal taste, budget, location, and lifestyle.

However, Let's assume that a survey was conducted to collect data on the number of times individuals buy coffee or similar drinks from a coffee shop.

The following table summarizes the results:

| Number of times per week | Frequency | Relative frequency |Probability| 0 | 15 | 0.15 | 3/20 | 1-2 | 20 | 0.2 | 1/5 | 3-4 | 30 | 0.3 | 3/10 | 5 or more | 35 | 0.35 | 7/20 |
The probability of each column can be found by dividing the frequency by the total number of individuals in the sample.
The total frequency is the sum of all the frequencies, which is 15 + 20 + 30 + 35 = 100.

| Number of times per week | Frequency | Relative frequency |Probability| 0 | 15 | 0.15 | 15/100

= 3/20 | 1-2 | 20 | 0.2 | 20/100

= 1/5 | 3-4 | 30 | 0.3 | 30/100

= 3/10 | 5 or more | 35 | 0.35 | 35/100

= 7/20 |

Therefore, the probability for each column is 3/20, 1/5, 3/10, and 7/20 for 0, 1-2, 3-4, and 5 or more times per week, respectively.

To know more about probability visit:-

https://brainly.com/question/31828911

#SPJ11

Answer:

$3623.85

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Compounded Interest Formula: \(A=P(1 + \frac{r}{n} )^{nt}\)

Step-by-step explanation:

Step 1: Identify Variables

P = 3000

r = 0.065

n = 1

t = 3

Step 2: Find Final Amount A

The leading coefficient of the quadratic function a is negative

From the graph, we have the following points:

Vertex, (h,k) = (-4,3)

Point, (x,y) = (-3,2)

A quadratic equation is represented as:

y = a(x - h)^2 + k

So, we have:

2 = a(-3 + 4) + 3

Subtract 3 from both sides

-1 = a(-3 + 4)

Evaluate the difference

-1 = a

This gives

a = -1

Hence, the leading coefficient a is negative

Read more about leading coefficient at:

https://brainly.com/question/19624646

#SPJ6

The probability of heads is 3/4, and the probability of tails is 1/4. Let í be the number of dollars that you receive, which is a random variable. If it comes up heads, you will receive $1, and if it comes up tails, you will receive $2.

Thus, the possible values of í are 1 and 2.The expected value of í is given by the formula below:

\(E(i) = \sum_{i=1}^n x_i P_i\)

Where xi is the ith possible value of í, and Pi is the probability of xi. The expected value of í is given by the formula below:

\(E(i) = \sum_{i=1}^n x_i P_i\)

For this example, the possible values of í are 1 and 2. The probability of heads is 3/4, and the probability of tails is 1/4. Therefore, we can calculate the expected value of í as follows:

\(E(i) = (1) \cdot \frac{3}{4} + (2) \cdot \frac{1}{4}\)

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

\(= \frac{5}{4}\)

Thus, the expected value of í when the biased coin is flipped once is $1.25.

To know more about probability visit:

https://brainly.com/question/31828911

#SPJ11

Answer:

B and E

Step-by-step explanation:

edge 2021

Answer:

b e

Step-by-step explanation:

The angle of elevation from the stake up to the tent pole is, 54.55°.

We know a right-angled triangle has three sides they are -: Hypotenuse,

Opposite and Adjacent.

We can remember SOH CAH TOA which is,

sin = opposite/hypotenuse, cos = adjecen/hypotenuse and

tan = opposite/adjacent.

Given, A 19 ft rope is tied from the top of a tent pole, It is the hypotenuse length.

Also, The state is 11 feet away and it is the adjacent length.

We know, cos = adjacent/hypotenuse.

cos = 11/19.

Ф = cos⁻¹(0.58).

Ф = 54.55°.

learn more about trig ratios here :

https://brainly.com/question/29083884

#SPJ9

Answer: The answer would be 2,4 & 6

Explanation: The even number digit between 0 and 8  are 2, 4, and 6. They are less than 8 and greater than 0 digits, They are smaller than hundreds.

I hope this helps God bless you all!!!

Answer:

2,4 and 6

Step-by-step explanation:

greater then 0 and less then 8

Answer:

90

Step-by-step explanation:

I can’t show you because there is no pin

Answer:

first one

Step-by-step explanation:

27/30 =90 so 92

Answer:

The unit rate is $3

Step-by-step explanation:

The given table can be written as follows:

No. of Bouquets    3   6    9    12

Price                       9   18   27   36

In order to find the unit price, the price will be divided by the units.

So,

\(Unit\ price = \frac{Total\ price}{Number\ of\ bouquets}\)

Taking a single pair from the table (Any pair of number of bouquets and price of those number of bouquets can be taken for this purpose)

\(Unit\ price = \frac{9}{3}\)

= 3

Hence,

The unit rate is $3

Answer:

$3 per bouquet

Step-by-step explanation:

Answer:

tim has an after school delivery service that he provides for several small retailers in town. he uses his bicycle and charges $1.25 for a delivery made within 1 1/2 miles, $1.70 for a delivery of at least 1 1/2 miles but less than 1 3/4 miles. $2.15 for a delivery of at least 1 3/4 miles but less than 2 miles, and so on. if tim raised his rates by 10%, what would he be paid to deliver a package 3 1/8 miles?

since the rate was 45 cents i multiplied 0.45 by 1.1 and got 0.495 and then i kept adding to the cost and 1/4 to the amount of miles until i got 3 1/8 miles. my answer was 4.715 so i rounded to 4.72, is that correct?Step-by-step explanation:

Answer:

1) The cost function, f(x) = 10,000 + x × 50

2) The expression for the inverse of the cost function is y = x/50 - 200

3) The domain is 10,000, 10,050, 10,100, ... . x ∈ 10,000+(n - 1)×50

4) The range is the set of whole numbers, W. y ∈ W

Step-by-step explanation:

The given information are;

The base fee for the Grand Ballroom = $2,000

The fee per guest = $50

The limit of their budget for the Grand Ballroom = $10,000

1) The cost function, f(x), for the number of guests, x is given as follows;

f(x) = 10,000 + x × 50

2) The expression for the inverse of the cost function is given as follows;

Let f(x) = y, we have;

y = 10,000 + x × 50

Therefore;

y - 10,000 = x × 50

x = (y - 10,000)/(50)

Interchanging the variables a and y in the above equation, gives;

y = (x - 10,000)/(50) = x/50 - 200

The inverse of the function is therefore, y = x/50 - 200

3) The domain is the set of possible input values to x which is given as follows;

The value y in the situation of the inverse = The number of guests, which is the set of whole numbers

Therefore, the domain, consists of the following numbers;

10,000, 10,050, 10,100, ... , 10,000+(n - 1)×50

Where;

n = The set of real numbers

4) The range is the set of whole numbers, W.

This gives a total of: 9 x 9 x 8 x 7 x 6 x 5 x 4 = 326,592 So there are 326,592 different seven-digit telephone numbers that can be created in which no digit repeats and zero cannot be the first digit.

To determine the number of different seven-digit telephone numbers that can be created without repeating any digit and with zero not being the first digit, we can use the concept of permutations.

For the first digit, we have 9 options (digits 1-9) because we cannot use 0. For the second digit, we have 9 options as well, since we can now include 0 but must exclude the digit we used for the first position. For the third digit, we have 8 options, as we cannot repeat the first two digits. We continue this pattern until the seventh digit, which leaves us with 4 options.

Now, to calculate the total number of unique telephone numbers, we multiply the number of options for each digit:

9 (first digit) * 9 (second digit) * 8 (third digit) * 7 (fourth digit) * 6 (fifth digit) * 5 (sixth digit) * 4 (seventh digit)

This results in a total of 9 * 9 * 8 * 7 * 6 * 5 * 4 = 136,080 different seven-digit telephone numbers that can be created without repeating any digit and with zero not being the first digit.

Learn more about digit here:

vhttps://brainly.com/question/30142622

#SPJ11