Erica took out a loan to buy her new motorcycle. The purchase price of the motorcycle was $11349.00 plus 5% GST and 7% PST. She pays $409.00 per month on her loan, which has a term of 3 years. How much more is she paying than the purchase price? a. $2415.74 b. $1610.50 c. $2254.69 d. $2013.12

Answer:

D = 12

Step-by-step explanation:

Side ST is corresponding to side QT. 9" / 3" = 3

3 is the proportion between the two triangles.

Side PT is the corresponding side to side RT.

PT = 4" x 3 = 12"

Answer:

14/6

Step-by-step explanation:

Answer:

14/6

Step-by-step explanation:

Answer:

62 degrees

Step-by-step explanation:

Since we know 3 sides of the triangle, we can use law of cosines.

\( {gk}^{2} = {gh}^{2} + {kh}^{2} - 2(gh)(kh) \times \cos(h) \)

\( {8}^{2} = {17}^{2} + {15}^{2} - 2(17(15) \times \cos(h) \)

\(64 = 289 + 225 - 510 \times \cos(h) \)

\(64 = 314 - 510 \times \cos(h) \)

\( - 250 = - 510 \times \cos(h) \)

\( \frac{250}{510} = \cos(h) \)

\( \frac{25}{53} = \cos(h) \)

Take the arcos or cosine inverse

\( \cos {}^{ - 1} = \frac{25}{53} \)

Which is about 62 degrees.

67.3% of the data values are less than 75.

Data is a set of values or facts that is used as a basis for reasoning, discussion, or calculation. Data can be numerical, such as measurements, or it can be non-numerical, such as words or images

The box-and-whisker plot is a visual representation of a data set that displays the median, minimum, maximum, first quartile, and third quartile of the data set. The plot below displays the data set with the first quartile being 40 and the third quartile being 92. This means that the range of the data set is 40-92. The value of 75 falls within this range, so 25% of the data values are less than 75. This can be calculated by taking 75-40, which is 35, and dividing it by the range of the data set (92-40 = 52). This gives us 0.673, which when multiplied by 100 gives us a percentage of 67.3%. Therefore, 67.3% of the data values are less than 75.

For more questions related to data set

https://brainly.com/question/28168026

#SPJ1

Answer:

22 were blue

Step-by-step explanation:

55 x .4 = 22

Step-by-step explanation:

10%=5.5

40%=5.5 times 4= 22pins

Observing the provided right angled triangle and using the trigonometric identities associated with the sides of the right angled triangle. The answers are 9.042 , 18.01 and 61.81 .

A right triangle is a particular kind of triangle with a 90° angle. Trigonometry is based on right triangles and the relationships between their sides and angles.

The study of correlations between triangles' side lengths and angles is known as trigonometry.

for 4) tan(37) = x/12

x= tan(37) * 12 = 9.042

for 6) sin(51) = 14/x

x=14/sin(51) = 18.01

for 8) sin(15) = 16/x

x=16/sin(15) = 61.81

To learn more about trigonometry visit:

https://brainly.com/question/22698523

#SPJ1

The answers, rounded to the appropriate number of significant figures, are as follows:

(a) 1.088 ×\(10^2\)

(b) 2.132

(c) 1.3331 ×\(10^1\) and

(d) 1.05.

Let's calculate the answers to the given operations using the appropriate number of significant figures.

(a) 8.370×1.3×10

To perform this multiplication, we multiply the decimal numbers and add the exponents of 10:

8.370 × 1.3 × 10 = 10.881 × 10 = 1.0881 × \(10^2\)

Since the original numbers have four significant figures, we round the final answer to four significant figures:

1.088 × \(10^2\)

(b) 4.265/2.0

For division, we divide the decimal numbers:

4.265 ÷ 2.0 = 2.1325

Since both numbers have four significant figures, the answer should be rounded to four significant figures:

2.132

(c) (1.2588×\(10^3\))×(1.06×\(10^-^2\))

To multiply these numbers, we multiply the decimal numbers and add the exponents:

(1.2588 × \(10^3\)) × (1.06 × \(10^-^2\)) = 1.333128 × \(10^1\)

Since the original numbers have five significant figures, we round the final answer to five significant figures:

1.3331 × \(10^1\)

(d) \((1.11)^(^1^/^2^)\)

To calculate the square root, we raise the number to the power of 1/2:

\((1.11)^(^1^/^2^)\)= 1.0524

Since the original number has three significant figures, the answer should be rounded to three significant figures:

1.05

It's important to note that the significant figures in a result are determined by the original data and the operations performed. The final answers provided above reflect the appropriate number of significant figures based on the given information and the rules for significant figures.

For more such information on: significant figures

https://brainly.com/question/30169

#SPJ8

Answer:

5(3x+4)(x-2)

Step-by-step explanation:

first you factor out a five to make it 3x^2 - 2x - 8

then you split into (3x+?) and (x+?)

then using guess and check (this is not the best method but I use it) you get

(3x+4)(x-2) and then you bring the 5 so its 5(3x+4)(x-2)

Reference the max process: for salads, the throughput rate for Salads is 60 units per hour.

Based on the information provided, the processing rates for the different stages of the serving process are as follows:

- Burgers PACKAGE: Capacity of 48 per hour

- Salads PACKAGE: Capacity of 60 per hour

- ORDER: No specified capacity rate, assumed to be able to accommodate all customers

- PAY: No specified capacity rate, assumed to be able to accommodate all customers

- FILL: No specified capacity rate, assumed to be able to accommodate all customers

During the dinner hours:

From 6 to 8 pm:

- 60 customers per hour order Burgers

- 40 customers per hour order Salads

From 8 to 9 pm:

- 40 customers per hour order Burgers

- 30 customers per hour order Salads

To calculate the throughput rate for each item, we need to consider the slowest stage in the process flow. In this case, the slowest stage is the packaging process for Salads, with a capacity of 60 per hour.

Therefore, the throughput rate for Salads is 60 units per hour.

Please note that the information provided does not specify the processing rates for the PAY and FILL stages, so it is assumed that these stages can accommodate all customers without any capacity limitations.

Learn more about rate here:

https://brainly.com/question/29017524

#SPJ11

#correct question: The Max restaurant has two items on their menu: Burgers and Salads. The serving process is as follows: customers form a line to order (ORDER), wait for their order to be packaged (PACKAGE), make payment (PAY), and fill their orders in a to-go bag (FILL). The packaging process is separated by menu item. Burgers have a capacity rate of 48 per hour and salads have a capacity rate of 60 per hour. All other processes can accommodate both items. The restaurant serves dinner from 6 to 9 pm. From 6 to 8 pm, 60 customers per hour order Burgers and 40 customers per hour order Salads. From 8 to 9 pm, 40 order Burgers and 30 order Salads. The restaurant stops accepting new orders at 9pm but will process any already placed orders. The processing rates are specified in the process flow diagram: Burgers PACKAGE ORDER Capacity=48/hr PAY FILL Capacity= Salads PACKAGE Capacity Capacity 120/hr Capacity=60/hr =95/hr =150/hr

Yes, The matrix does indeed have an inverse.

A rectangular or square array of figures, characters, or expressions arranged in rows and columns is known as a matrix. In many different disciplines, including computer science, engineering, physics, and mathematics, matrices are frequently employed and Matrix representations of physical phenomena, such as the wave functions in quantum mechanics, are common in physics. To represent and simulate complicated systems, like circuits and control systems, engineers employ matrices. Matrix-based techniques are utilised in a variety of computer science applications, including image processing, computer graphics, and machine learning.

The elements of a matrix, which are often written with a rectangular bracket, can be used to symbolise it.

To know more about matrices, visit

brainly.com/question/11367104

#SPJ1

Yes, the inverse of a matrix exists if the determinant of the matrix is -13.

What is a matrix?

Linear equations are expressed using matrices, which are ordered rectangular arrays of numbers. Columns and rows make up a matrix. Mathematical operations like addition, subtraction, and matrix multiplication can also be done on matrices. If there are m rows and n columns, the matrix is represented as m × n matrix. The inverse of a matrix is available only for square matrices.

Now the determinant is a value that is associated with a square matrix.

The product of all the elements in any row or column and their corresponding co-factors is the determinant of a matrix.

For an inverse matrix to exist, the determinant of the matrix should not be zero. This is because the determinant of the inverse matrix is the inverse of the determinant of the original matrix.

If the determinant is zero, then the determinant of the inverse matrix will be 1/0, which is undefined.

So, as long as the determinant is not equal to zero, the inverse matrix exists.

Therefore the inverse of a matrix exists if the determinant of the matrix is -13.

To learn more about the matrix, follow the link.

https://brainly.com/question/1279486

#SPJ1

Answer:

x = 10.8

Step-by-step explanation:

Cos∅ = adj/hyp

Cos26 = x/12

Multiply both sides by 12

12 * cos26 = x

Use calculator

10.785528555590004 = x

Round

x = 10.8

He estimates that he will stand 6 feet 9 inches tall when he is 20 years old. His prediction is correct.

Given: Growth per year = 3 inches

Height at 15 yrs of age = 5'6''

Height at 20 yrs of age = 6'9''(predicted)

We know that Jesse grows 3 inches every year.

In 5 years(15yrs - 20yrs) his growth = 5 × 3 = 15 inches.

At 15 years(present) height = 5'6''

At 20 years (future) height = 5'6'' + 15'' = 6'9'' (since, 1ft = 12 inches)

Thus, Jesse's prediction is correct

To learn more about feet and inches, refer to:

https://brainly.com/question/8019254

#SPJ4

This involves setting the sample mean equal to the theoretical mean and solving for p. Using the given data, we obtain a point estimate of p = 0.101.

The geometric distribution is commonly used to model the number of independent trials needed to obtain the first success in a sequence of Bernoulli trials with probability of success p. The theoretical mean of a geometric distribution is μ = 1/p, which represents the expected number of trials needed to obtain the first success.

To find a point estimate for p using the method of moments, we first calculate the sample mean of the given data, which is X' = 13.8. We then set this equal to the theoretical mean and solve for p:

X' = 1/p

13.8 = 1/p

p = 1/13.8

p ≈ 0.101

Intuitively, this estimate makes sense because it represents the proportion of successes expected in a single trial, based on the given sample. In other words, if we were to repeat the same sequence of trials many times, we would expect to see a success rate of approximately 0.101.

Additionally, since the geometric distribution is memoryless, meaning the probability of success does not depend on the number of previous trials, this estimate can be used to make predictions about future trials as well.

Learn more about Sample Mean:

brainly.com/question/31101410

#SPJ11

74100

170000

36000

I believe this is right!

Based on the given parameters, Eli’s speed is 5/60 miles per minute

The speed of an object is the rate of change of the distance moved by the object with respect to time

The given parameters are

Distance = 5/6 miles

Time = 10 minutes

The speed is calculated as

Speed = Distance/Time

So, we have

Speed = 5/6 miles/10 minutes

Evaluate

Speed = 5/60 miles per minute

Hence, Eli’s speed is 5/60 miles per minute

Read more about speed at

https://brainly.com/question/6504879

#SPJ1

The probability that all four songs are liked will be 0.03418 and the probability of not liking the next four songs will be 0.99658.

The probability of an event occurring is defined by probability.

Probability is also called chance because if you flip a coin then the probability of coming head and tail is nothing but chances that either head will appear or not.

As per the given,

Total songs = 53

Like songs = 14

Probability of selecting and liking the first song = 14/53

Now since repetition is not allowed and one like the song has been chosen out of 14 thus, the remaining songs = 13, and total songs = 43 - 1 = 52

Probability of selecting liking the second song = 13/52

Probability of selecting liking the third song = 12/51

Probability of selecting liking the fourth song = 11/50

a)

The probability of liking all songs will be 14/53 x 13/52 x 12/51 x 11/50 = 0.03418.

b)

The probability of not liking the next four songs =1 - The probability of liking all songs

The probability of not liking the next four songs = 1 - 0.03418 = 0.96582.

Hence "The probability that all four songs are liked will be 0.03418 and the probability of not liking the next four songs will be 0.99658".

For more information about the probability,

brainly.com/question/11234923

#SPJ1

The expression 1 + 3² can be evaluated as follows:

First, we calculate 3², which is equal to 9.

Then, we add 1 to 9, which gives us 10.

Therefore, 1 + 3² = 10.

Answer:

Step-by-step explanation:

1 +\(3^{2}\)

= 1 + (3*3)

= 1 + 9

= 10

Answer:

Below.

Step-by-step explanation:

1 / secA+tanA =  1 / [1/cosA+sinA/cosA))]

= 1/ [(1 + sinA)/cosA]

= cosA/(1+sinA)

Now check if this is identical to 1-sinA/cosA:

1-sinA/cosA = cosA/(1+sinA)

Cross multiply:

(1-sinA)(1+sinA) = cos^2A

1 - sin^2A = cos^2A

sin^2A + cos^2A = 1  

This is a known idenity.

So the original identity is true.

If the standard deviation of a set of data is 6, then the value of variance is 36

The formula for determining variance is variance = √Standard deviation

Variance of a set of data is equal to square of the standard deviation.

If the standard deviation of a set of data is 6 then we get variance by putting the value of standard deviation in the formula

variance = √Standard deviation

Take square root on both sides

Standard deviation² = 6²

Standard deviation= 36

Hence,  standard deviation of a set of data is 6, then the value of variance is 36

To learn more on Statistics click:

https://brainly.com/question/30218856

#SPJ1

He received: (180 × 5/6) votes

= 150 votes

Answer:

150 votes

Step-by-step explanation:

We require to calculate

\(\frac{5}{6}\) of 180 , that is

\(\frac{5}{6}\) × 180 ( divide 180 by 6, then multiply answer by 5 ) , so

5 × 30

= 150

Answer:

The answer is A. X=2

Step-by-step explanation:

Hope this helps :)

Step-by-step explanation:

Answe is A:×=2

because 7×2=14

14+4=17

Answer: π * (18/2)^2

= 3.14 * 81

= 254.34 inches

Step-by-step explanation:

Formula of circle's area: πr^2, or 3.14 * radius to the power of 2

Since the radius is diameter divided by 2, the radius is 9

So, we can do 3.14 * 9 to the power of 2, which is 81.

So the formula is 3.14 * 81, and 254.32 inches.

The probability that the diameter of a selected bearing is greater than 52 millimeters is 0.8413. This can be calculated using the formula for probability of a normal distribution:

P(x > 52) = 1 - P(x ≤ 52)

P(x ≤ 52) = (52 - 58) / 6 = -1

P(x > 52) = 1 - P(-1) = 1 - 0.1587 = 0.8413.

Therefore, the probability that the diameter of a selected bearing is greater than 52 millimeters is 0.8413.

The diameters of ball bearings are distributed normally. the mean diameter is 58 millimeters and the standard deviation is 6 millimeters : https://brainly.com/question/31110857

#SPJ11

The total number of ways there are for eight blue-shirt and five red-shirt to stand in a line so that no two red-shirts stand next to each other is 609638400.

A permutation of a set is, broadly speaking, a rearranging of its elements if the set is already ordered, or arranging its members into a sequence or linear order.

Given:

The eight blue-shirt and five red-shirt stands in a line,

Calculate the number of ways as shown below,

The total number of ways = Total no of permutations of blue ones × Total permutation of 9 positions, taken 5 at a time,

N = 8! × 9! / (9 - 5)!

N = 40320 × 362880 /24

N = 609638400

To know more about permutation:

https://brainly.com/question/1216161

#SPJ1

Answer: C

Step-by-step explanation: C

2 divided into 9 parts is 2/9.

Let's' explain this visually

Take this pizza, (image below)

Let's say we have two pizzas for 8 friends (including ourselves), so naturally, we'll cut the pizza's each into 9 slices, 1 for each, now everyone gets 1/9 of a pizza, but there are two pizzas, so if we add 1/9+1/9, we'll get two ninths.

Now 2/9=0.2 repeating!

This is how I got my answer sorry for the vague  explanation

Given x⁵ y⁶ z⁸ - x¹⁰ y⁷ z¹⁴ - x¹⁵ y¹² z⁹ the polynomial, the greatest common monomial factor is x⁵ y⁶ z⁸

Given x⁵ y⁶ z⁸ - x¹⁰ y⁷ z¹⁴ - x¹⁵ y¹² z⁹

To find the greatest common monomial factor for the given polynomial, we will need to factorize the expressions common to all parts of the polynomial.

Let's factorize the polynomial:

x⁵ y⁶ z⁸ - x¹⁰ y⁷ z¹⁴ - x¹⁵ y¹² z⁹ =  x⁵ y⁶ z⁸(1 - x⁵y²z⁶ - x¹⁰y⁶z)

The result of the factorization gives  x⁵ y⁶ z⁸ outside the parenthesis. This is the value common to all sides of the given polynomial.

Therefore, the greatest common monomial factor for the polynomial is x⁵ y⁶ z⁸. Option D is the answer

Learn more about greatest common monomial factor on:

https://brainly.com/question/22711729

#SPJ1

Answer:

400,000

Step-by-step explanation:

Calculate the doubling time period-

Doubling time period(t)=

doubling time period(t)= 2

Calculate the new population using the doubling time formula below where t is the number of doubling periods:

Population = Initial Population * \(2^{t}\)

Population = 100000 * \(2^{2}\)

Population = 100000 * 4

Answer:

Step-by-step explanation:B