You roll a standard number cube. Find P(number greater then 1)A6/5 B 5/6. C 1/6. D. 1

Joe's monthly payment is $581.87, and the total interest cost of the loan is $110,675.20.

To calculate Joe's monthly payment, we can use the formula for a fixed-rate mortgage:

Monthly Payment = Loan Amount × Monthly Interest Rate / (1 - (1 + Monthly Interest Rate)^(-Number of Payments))

First, we need to calculate the loan amount. Since Joe put down 20%, the loan amount will be 80% of the home price:

Loan Amount = $140,000 × 0.8 = $112,000

Next, we need to calculate the monthly interest rate. The annual interest rate is 5.1%, so the monthly interest rate will be:

Monthly Interest Rate = Annual Interest Rate / 12 = 0.051 / 12 = 0.00425

Now, we calculate the number of payments. Joe obtained a mortgage for 30 years, which is equivalent to 30 × 12 = 360 monthly payments.

Using these values, we can calculate Joe's monthly payment:

Monthly Payment = $112,000 × 0.00425 / (1 - (1 + 0.00425)^(-360))

Using a financial calculator or spreadsheet software, we can evaluate this expression and find Joe's monthly payment to be approximately $581.87 (rounded to the nearest cent).

To calculate the total interest cost of the loan, we can subtract the loan amount from the total payments made over the 30-year period.

Total Interest Cost = (Monthly Payment × Number of Payments) - Loan Amount

Total Interest Cost = ($581.87 × 360) - $112,000

Using a financial calculator or spreadsheet software, we can evaluate this expression and find the total interest cost of the loan to be approximately $110,675.20 (rounded to the nearest cent).

Therefore, Joe's monthly payment is $581.87, and the total interest cost of the loan is $110,675.20.

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Answer:

A ray is known as a half-infinity line. As it starts from a point while the other end is pointing towards the direction till infinity.

As already discussed ray shows a direction as well, therefore, it is a vector quantity and is denoted by an arrow over the line name.

As shown below a ray can be drawn. therefore,  which is starting from point A and continuing toward the right side infinity.

Step-by-step explanation:

I know math :)

The most likely step would be choice 1: 3x = 16 because in step 3, you should add 3 on both sides. So, 3's would cancel out on the left side and you solve for 13 + 3 = 16. Thus, the answer would be 3x - 16. Hope this helps :)

Answer:

Step-by-step explanation:

Formula for geometric sequence is:

\(a_{n} =a_{1} (r)^{n-1}\)

Now we substitute the values in:

\(165=a_{1} (3)^{3-1}\)

165=a1(-2x3)^2

165=a1x9

Answer is 23

for example, let's find the 7.25% of "x"

\(\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{7.25\% of x}}{\left( \cfrac{7.25}{100} \right)x}\implies \stackrel{ \textit{in decimal form} }{\text{\LARGE 0.0725}}\times x\implies 0.0725x\)

✺◟(∗❛ัᴗ❛ั∗)◞✺ ( T_T)＼(^-^ ) ( T_T)＼(^-^ ) ᕙ( • ‿ • )ᕗ (┛◉Д◉)┛彡┻━┻ ᕙ( • ‿ • )ᕗ ᕙ(＠°▽°＠)ᕗ (ノT＿T)ノ ＾┻━┻ (╯°口°)╯︵ ┻━┻ ᕙ(＠°▽°＠)ᕗ (ノT＿T)ノ ＾┻━┻ (╯°口°)╯︵ ┻━┻ ᕙ(＠°▽°＠)ᕗ (┛◉Д◉)┛彡┻━┻ (ノT＿T)ノ ＾┻━┻ (ノT＿T)ノ ＾┻━┻ (┛◉Д◉)┛彡┻━┻ ᕙ(＠°▽°＠)ᕗ (ノT＿T)ノ ＾┻━┻ (╯°口°)╯︵ ┻━┻ ᕙ(＠°▽°＠)ᕗ (ノT＿T)ノ ＾┻━┻ (╯°口°)╯︵ ┻━┻ ᕙ(＠°▽°＠)ᕗ (ノT＿T)ノ ＾┻━┻ (╯°口°)╯︵ ┻━┻ ᕙ(＠°▽°＠)ᕗ (ノT＿T)ノ ＾┻━┻ (╯°口°)╯︵ ┻━┻

Answer:

A - C(-3, -2), D(1, -2)

Step-by-step explanation:

Answer:

3.33

4.33

TVE figures is that

Answer:

The average number of skiers in Lavilla are 1,600 skiers

Step-by-step explanation:

The number of skiers that come to Lavilla on average each week = 2,800 skiers

The number of days each skier stays in Lavilla = 4 days

The amount each skier spends in local restaurants daily = $40

According to Little's Law, we have;

L = λ·W

Where;

L = The average number of skiers in Lavilla

λ = The effective arrival rate of the skiers = 2,800 skiers per week arrive

W = The number of days each skier stays at Lavilla = 4 days = 4/7 week

The average number of skiers in Lavilla, 'L', is therefore, given as follows;

L = 2,800 skiers/weel × (4/7) week = 1,600 skiers

The average number of skiers in Lavilla, L = 1,600 skiers

Cash price to the buyer, if he pays by cash:

The cash price would be 10% less than the retail price of $4,500:

Cash price = $4,500 - (10% * $4,500)

Cash price = $4,500 - $450

Cash price = $4,050

Amount payable:

If the buyer chooses to purchase the TV on higher purchase, the amount payable would be the sum of the down payment and the total amount of monthly installments:

Amount payable = Down payment + (24 * Monthly installment)

Amount payable = $675 + (24 * $212.50)

Amount payable = $5,175

Outstanding balance:

The outstanding balance would be the difference between the amount payable and the down payment:

Outstanding balance = Amount payable - Down payment

Outstanding balance = $5,175 - $675

Outstanding balance = $4,500

Hire purchase price:

The hire purchase price would be the sum of the down payment and the outstanding balance:

Hire purchase price = Down payment + Outstanding balance

Hire purchase price = $675 + $4,500

Hire purchase price = $5,175

Interest:

The interest charged on the hire purchase would be the difference between the hire purchase price and the cash price:

Interest = Hire purchase price - Cash price

Interest = $5,175 - $4,050

Interest = $1,125

Difference between the hire purchase and the cash price:

The difference between the hire purchase price and the cash price would be the interest charged:

Difference = Interest

Difference = $1,125

Percentage interest charged:

To calculate the percentage interest charged, we can divide the interest by the hire purchase price and multiply by 100:

Percentage interest charged = (Interest / Hire purchase price) * 100

Percentage interest charged = ($1,125 / $5,175) * 100

Percentage interest charged = 21.74%

Therefore, the cash price to the buyer is $4,050, the amount payable is $5,175, the outstanding balance is $4,500, the hire purchase price is $5,175, the interest charged is $1,125, the difference between the hire purchase and the cash price is $1,125, and the percentage interest charged is 21.74%.

Answer:

217.5 liters

Step-by-step explanation:

15 x 6.5 = 97.5. 97.5 + 120 = 217.5 liters

According to the information, it can be inferred that the total matches that would be played in total are 160,461.

A combination is a term to refer to an arrangement of elements in no particular order. For example:

When we put together a sandwich with salami, ham and turkey. The order in which the deli meats are placed does not matter as long as they are in a sandwich. There is only one way to stack the meat on the sandwich when the order doesn't matter.

To calculate how many matches will be played in total we have to perform the following procedure:

\(= ^{567} C_{2} \\= \frac{(567)!}{2!565!} \\= \frac{567 * 566 * (565)!}{2 * (565)!} \\= 567 * 283\\= 160,461\\\\\)

As we can see after the combination, the number of games that would be played in this tournament would be 160,461.

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Answer:

Mean = 243.625

Median = 275.5

Mode = 284

Each value is exact without any rounding.

=================================================

Original data set:

$155 $267 $284 $194 $299 $284 $287 $179

Let's remove the dollar signs, and separate each item with a comma:

155,267,284,194,299,284,287,179

Then sort the values from lowest to highest.

155,179,194,267,284,284,287,299

---------------------

To find the mean, we add up the values and divide by n = 8 since there are 8 items in the list.

(155+179+194+267+284+284+287+299)/8 = 243.625 is the mean

----------------------

Refer to the sorted data set.

The median is the middle-most value. Because the sample size n = 8 is even, we'll have two values tied for the middle.

n/2 = 8/2 = 4

The items in slot 4 and 5 are tied for the middle.

The values in slot 4 and 5 are 267 and 284 in that exact order.

Compute the midpoint: (267+284)/2 = 275.5 is the median

----------------------

The mode is the most frequent value. Look through the sorted data set to see that 284 shows up twice. This is the most frequent compared to the other values (that show up only once).

Therefore, the mode is 284

Side note: It's possible to have multiple modes. It's also possible to not have any modes at all.

Answer:

\(\frac{30meters}{second}\)

600meters

Step-by-step explanation:

Use conversion factors that represent 1.  You can cross cancel wods just like numbers.

\(\frac{108km}{1hour}\) · \(\frac{1hour}{60 minutes}\) · \(\frac{1minute}{60seconds}\) ·\(\frac{1000meters}{1 km}\)

\(\frac{108000meters}{3600seconds}\)

\(\frac{30meters}{second}\)

\(\frac{30meters}{second}\) ·\(\frac{20seconds}{1}\)

600 meters

Helping in the name of Jesus.

Recall that two events are mutually exclusive if they cannot happen at the same time. In the given problem we are given that the probability of both events occurring is 0.5 therefore, the events are not mutually exclusive.

Now, two events are independent if one event happening does not affect the probability of the other, in the given problem the events don't affect each other, therefore, the events are independent.

Finally, to determine the probability of either event happening, we will use the following formula for not mutually exclusive events:

We know that:

Therefore:

Answer:

1) False.

2) False.

3) 0.85.

Morgan's supply of raisins is approximately 4.62 pounds.

What is the equivalent expression?

Equivalent expressions are expressions that perform the same function despite their appearance. If two algebraic expressions are equivalent, they have the same value when we use the same variable value.

Let's start by setting up an equation based on the given information:

14/48 + 38/48 = 5/x

Here, x represents the total supply of raisins in pounds.

To solve for x, we can first combine the fractions on the left-hand side of the equation:

52/48 = 5/x

Next, we can simplify by cross-multiplying:

52x = 48 x 5

52x = 240

Finally, we can solve for x by dividing both sides by 52:

x = 240/52

x ≈ 4.62

Therefore, Morgan's supply of raisins is approximately 4.62 pounds.

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Answer:

Option 3

Step-by-step explanation:

If we are given roots of a polynomial, r and q. We can represent the roots as

\((x - r)(x - q)\)

The roots here are 0, -3and 4 so the roots are

\(x(x - ( - 3)(x - 4)\)

Which equal to

\(x(x + 3)(x - 4)\)

Option 3 is the answer

The insect measurement that was the most frequent is given as follows:

1 and 1/4 inches.

A dot plot is a simple graphical display that uses dots to represent data values. It is also sometimes called a dot chart or a scatterplot. In a dot plot, each data point is represented by a dot along a number line or axis, where the position of the dot corresponds to the value of the data point.

Hence, a dot plot shows the number of times that each observation appeared in the data-set.

The observation with the most dots is the observation 2/8 of the way between 1 and 2, hence the most frequent observation is given by the following mixed number:

1 and 2/8 = 1 and 1/4 inches.

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Answer:2+2=4

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

think of it like this

1+1=2+1=3+1=4

glad i could help

Hehehe

The number of M&M's that were in the bowl before Amelia arrived is; 12

Let the original amount in the bowl be x. Thus;

If Amelia grabbed 50%, then amount left = (100% - 50%)x = 50%x = 0.5x

Now, we are told that domicick took 50% of what was keft after amelia. Thus; New amount left = 100%x - (0.5x + 0.25x) = 0.25x

Now, we are told that there were finally 3 left after all the deductions. Thus;

0.25x = 3

x = 3/0.25

x = 12

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Plan B: Choose 14 of the 28 plants at random. Apply Brand X fertilizer to those 14 plants and Brand Y fertilizer to the remaining 14 plants.

A sample is only a small portion of the population.

Let's imagine you were interested in determining the average income for all Americans in your population.

Instead of knocking on every door in America because of time and money constraints, you decide to ask 1,000 random people. Your sample consists of these a thousand persons.

Given, A gardener wants to determine which of two brands of fertilizer is best for the plants.

And the gardener decides to conduct an experiment using 28 individual plants.

Plan A will be a biased sampling and the experiment would not yield

desired results.

Therefore, The gardener should choose 14 of the 28 plants at random. Apply Brand X fertilizer to those 14 plants and Brand Y fertilizer to the remaining 14 plants.

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The cos(θ) term cancels out and we are left with -1. Therefore, the equivalent expression is -1.

We can start by using the trigonometric identities:

cos(-θ) = cos(θ)

tan(-θ) = -tan(θ)

csc(θ) = 1/sin(θ)

Substituting these identities into the original expression, we get:

cos(θ) * (-tan(θ)) * (1/sin(θ))

Simplifying this expression, we can cancel out the cos(θ) and the sin(θ) terms:

-1 * cos(θ) * (1/(cos(θ))) The cos(θ) term cancels out and we are left with -1. Therefore, the equivalent expression is -1.

In other words, the original expression simplifies to -1 for all values of θ where it is defined (i.e. θ ≠ (2n + 1)π/2, where n is an integer). This means that as θ varies, the value of the expression will always be -1 when it is defined. Trigonometric identities are mathematical equations that involve trigonometric functions and are true for every possible value of the variables involved. There are various types of trigonometric identities, including:

Pythagorean Identities:

\(sin^2a + cos^2a= 1\\tan^2a + 1 = sec^2a\\1 + cot^2a = csc^2a\)

Angle Sum and Difference Identities:

sin(α±β) = sin α cos β ± cos α sin β

cos(α±β) = cos α cos β ∓ sin α sin β

tan(α±β) = (tan α ± tan β) / (1 ∓ tan α tan β)

Double Angle Identities:

sin 2θ = 2 sin θ cos θ

cos 2θ =\(cos^2\)θ - \(sin^2\)θ = 2 \(cos^2\)θ - 1 = 1 - 2\(sin^2\)θ

tan 2θ = (2 tan θ) / (1 - \(tan^2\)θ)

Half Angle Identities:

sin (θ/2) = ± √[(1 - cos θ) / 2]

cos (θ/2) = ± √[(1 + cos θ) / 2]

tan (θ/2) = ± √[(1 - cos θ) / (1 + cos θ)]

Product-to-Sum Identities:

sin α sin β = (1/2) [cos (α-β) - cos (α+β)]

cos α cos β = (1/2) [cos (α-β) + cos (α+β)]

sin α cos β = (1/2) [sin (α+β) + sin (α-β)]

Sum-to-Product Identities:

sin α + sin β = 2 sin [(α+β)/2] cos [(α-β)/2]

sin α - sin β = 2 cos [(α+β)/2] sin [(α-β)/2]

cos α + cos β = 2 cos [(α+β)/2] cos [(α-β)/2]

cos α - cos β = -2 sin [(α+β)/2] sin [(α-β)/2]

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Answer:

it is your answer..... if it is helpful plzz like and comment

The equation of the straight line is 4x -y = 13. It is general form of equation of a line.

What is a line?

A line has length but no width, making it a one-dimensional figure. A line is made up of several points that are endlessly extended in opposite directions. Two points in a two-dimensional plane determine it. Collinear points are described as two points that are on the same line.

The equation of a line that passes through the points (x₁, y₁) and (x₂, y₂) is

y - y₁ = [(y₂ - y₁)/(x₂ - x₁)](x - x₁).

The coordinates of the points are (4, 3) and (2, -5).

The slope of the line is (-5-3)/(2-4)

=-8/-2

= 4

The equation of line is

y - 3 = 4(x - 4)

→ y - 3 = 4x - 16

→ 4x -y = 13

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The product of the expression 7 x 63 is 441.

We have,

To find the product of 7 x 63 using the distributive property, we can break down 63 as the sum of its factors, such as 60 and 3:

7 x 63 = 7 x (60 + 3)

Now, we can apply the distributive property by multiplying 7 to each term inside the parentheses:

7 x (60 + 3) = 7 x 60 + 7 x 3

Simplifying further:

7 x 60 + 7 x 3 = 420 + 21

Therefore,

The product of 7 x 63 is 441.

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Answer:

\(\frac{ - 4}{15x} = 1.44 \\ - 4 = 15x \times 1.44 \\ 15x = \frac{1.44}{ - 4} \\ 15x = \frac{144}{ - 4 \times 100} \\ 15x = 0.36 \\ x = \frac{36}{100 \times 15 } \\ x = 0.024\)

Answer:

-5 2/5

Step-by-step explanation:

i took the test from k12

Answer:

\(x\le \:9\)

Step-by-step explanation:

\(5x\le 45\)

\(\frac{5x}{5}\le \frac{45}{5}\)

\(x\le \:9\)

Answer:

B

Step-by-step explanation:

We divide the entire inequality by 5 to get rid of the coefficient of x. The ≤ stays the same so we get x ≤ 9.

The mean value is 1.19

x           p(x)        x*p(x)        X^2p(x)
1           0.1            0.1               0.1
2           0.15         0.3               0.6
3           0.4          1.2                3.6
4          0.25          1                   4
5           0.1           0.5               2.5
Sum        1            3.1                 10.8

Mean =Σx * p(x)

u=3.1

Variance=σ^2

=Σx*p(x)-u^2

=10.8-(3.1)^2 =1 .19    

A probability distribution is a frequency distribution that has been idealised. A frequency distribution is a description of a particular sample or dataset. It is the number of times each possible variable value appears in the dataset.

The probability of occurrence determines how many times a value appears in a sample. Probability is a number between 0 and 1 that indicates the likelihood of an event occurring:


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