Answer: £2,116.10 each month.
Step-by-step explanation:
To calculate the monthly payment, we first need to find the total amount owed after the compound interest has been added. The formula for compound interest is:
A = P * (1 + r/n)^(nt)
where:
A is the amount owed,
P is the initial principal (the cost of the tractor),
r is the annual interest rate,
n is the number of times interest is compounded per year, and
t is the number of years the loan is taken out for.
In this case:
P = £64,950
r = 4% = 0.04
n = 12 (the number of months in a year)
t = 3 (the number of years the loan is taken out for)
Plugging these values into the formula, we find that:
A = £64,950 * (1 + 0.04/12)^(12*3) = £76,079.69
To find the monthly payment, we divide the total amount owed by the number of payments:
Monthly payment = A / 36 = £76,079.69 / 36 = £2,116.10
So you will pay £2,116.10 each month.
I NEED THE ANSWER ASAP
You then need to write an equation of a line using slope-intercept format goes through the point (4,2) and is parallel to y = 1/2x - 3
An equation of a line using slope-intercept format goes through the point (4, 2) and is parallel to y = 1/2x - 3 is y = x/2.
What is the point-slope form?Mathematically, the point-slope form of a straight line can be calculated by using this mathematical expression:
y - y₁ = m(x - x₁) or y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)
Where:
m represents the slope.x and y represents the data points.From the information provided above, we have the following slope and data points on the line:
Points = (4, 2).Slope, m = 1/2.In Geometry, two (2) lines are parallel under the following conditions:
m₁ = m₂ ⇒ 1/2 = 1/2
At data point (4, 2), a linear equation of this line can be calculated in point-slope form as follows:
y - 2 = 1/2(x - 4)
y - 2 = x/2 - 2
y = x/2 - 2 + 2
y = x/2
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Solve for x
12 + x = 15
Answer: x = 3
Step-by-step explanation: just isolate the variable x
So subtract 12 on both sides of the equation and you are left with x is equal to 3
Hope this helped
An ice cream factory makes 150 quarts of ice cream in 5 hours how many quarts could be made in 36 hours what’s was the rate per day
1080 quarts can be made in 36 hours.
The rate per day is 30 quarts.
What is a unit rate?It is the quantity of an amount of something at a rate of one of another quantity.
In 2 hours, a man can walk for 6 miles
In 1 hour, a man will walk for 3 miles.
We have,
150 quarts of icecream = 5 hours
This can be written as,
5 hours = 150 quarts
Divide both sides by 5.
1 hour = 30 quarts
Multiplying 36 on both sides.
36 hours = 36 x 30 quarts
36 hours = 1080 quarts
Thus,
1080 quarts can be made in 36 hours.
30 quarts per day.
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Slect all that apply
The rational numbers in this problem are given by these following options:
A, B, C, D, E, G, I, K, L, O.
What are rational and irrational numbers?Rational numbers are the whole numbers plus decimals that can be represented by fractions, involving both positive and negative numbers.
The set of irrational numbers is composed by numbers that cannot be represented by fractions, such as non-exact roots, which are non-terminating and non-repeating decimal numbers.
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Parallelogram EFGH has vertices E(1, 3), F(3, 5), and G(4, 2). What are the coordinates of point H?
The coordinates of the point H of the parallelogram is H ( 2 , 0 )
What is a Parallelogram?A parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure
The four types are parallelograms, squares, rectangles, and rhombuses
Properties of Parallelogram
Opposite sides are parallel
Opposite sides are congruent
Opposite angles are congruent.
Same-Side interior angles (consecutive angles) are supplementary
Each diagonal of a parallelogram separates it into two congruent triangles
The diagonals of a parallelogram bisect each other
Given data ,
Let the parallelogram be represented as EFGH
Now , the coordinates of the parallelogram is given by
Substituting the values in the equation , we get
The coordinate of E = E ( 1 , 3 )
The coordinate of F = F ( 3 , 5 )
The coordinate of G = G ( 4 , 2 )
The coordinate of H = H ( x , y )
Now , the difference in the x coordinates of F and G = ( 4 - 3 ) = 1
The difference in the y coordinates of F and G = ( 2 - 5 ) = -3
So , the coordinates of the point H = x coordinate of E + 1 and y coordinate of E - 3
On simplifying the equation , we get
The coordinate of H = H ( 2 , 0 )
Hence , the coordinates of the parallelogram is H ( 2 , 0 )
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The 149 heights of males from a data set of body measurements vary from a low of 154 cm to a high of 196.9 cm. Use the range rule of thumb to estimate the standard deviations and compare the result to the standard deviation of 8.04 cm calculated using the 149 heights. What does the result suggest about the accuracy of estimates of s found using the range rule of thumb? Assume the estimate is accurate if it is within 1.4 cm.
Therefore , the solution of the given problem of standard deviation comes out to be the range rule of thumb is only an approximation and does not take into account the shape of the distribution .
The standard deviation is defined.Variance is a measure of variation used in statistics. To calculate the average variance between the data and the mean, use the algorithm below. In opposition to other numerical measures of variability, it incorporates all data points into calculations by comparing each data point's value to the mean. Among the differences are unintentional errors, irrational expectations, and changing market or economic conditions.
Here,
According to the range rule of thumb, the range of the data set is roughly four times the standard deviation. Therefore, we can estimate the standard deviation by dividing the range by 4:
range = 196.9 - 154 = 42.9
estimated standard deviation = range / 4 = 10.725
Comparing this estimate to the actual standard deviation of 8.04 cm calculated using the 149 heights, we see that the estimate is off by about 2.685 cm.
This suggests that the estimate obtained using the range rule of thumb is not very accurate in this case, as it is outside the 1.4 cm threshold for accuracy.
This is not surprising, as the range rule of thumb is only an approximation and does not take into account the shape of the distribution or the sample size.
Therefore , the solution of the given problem of standard deviation comes out to be the range rule of thumb is only an approximation and does not take into account the shape of the distribution or the sample size.
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An oil change at instant auto service is regularly $35. Mr.oliver has a coupon for 25% off.He wants to know the sales price of an oil change
Answer:
$26.25
Step-by-step explanation:
25% of 35 can be found by multiplying .25 x 35 to get 8.75
the coupon will reduce the regular price of $35 by 8.75 to produce the new price of $26.25
Let X be a random variable whose distribution is Normal, with a mean of 100 and a standard deviation of 10. The proportion of observations above 115 is equal to the proportion below what value? Use the fact that the normal distribution is symmetric about the mean.
The value for which the proportion of observations below it is equal to the proportion of observations above 115 is 85.
The normal distribution, also known as the Gaussian distribution or the bell curve, is a continuous probability distribution that describes the distribution of many real-world phenomena such as height, weight, IQ scores, and financial returns. It is a symmetric distribution with a bell-shaped curve that is centered on the mean and characterized by its mean and standard deviation.
Since the normal distribution is symmetric about the mean, the proportion of observations above 115 is equal to the proportion of observations below 100 - (115 - 100) = 85.
So, the value for which the proportion of observations below it is equal to the proportion of observations above 115 is 85.
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ana opened a bank account with $1000 that earns interest, compounded continuously, at an annual rate of r
After 1 year of time period, Ana would have $1051.7 in her account, including interest.
Ana opened a bank account with $1000 that earns interest, compounded continuously, at an annual rate of r. To calculate the amount of money in the account after t years, we can use the formula:
[tex]A = P * e^{(rt)}[/tex]
where A is the amount in the account after t years, P is the initial deposit (in this case, $1000), r is the annual interest rate, and e is the mathematical constant approximately equal to 2.718.
For example, if the interest rate is 5% (r = 0.05), after 1 year, the amount in the account would be:
[tex]A = \$1000 * e^{(0.05 * 1)} = \$1000 * 1.0517[/tex]
[tex]A = \$1051.7[/tex]
So, after 1 year, Ana would have $1051.7 in her account, including interest. The higher the interest rate and the longer the time period, the more money Ana would have in her account due to the compounding effect.
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You are a loan officer at the West Elm Savings and Loan. Mr. and Mrs. Brady are in your office to apply for a mortgage loan on a house they want to buy. The house has a market value of $180,000. Your bank requires 1/5
The amount of the down payment for the house, given the market value and the amount your bank requires is $ 36, 000
How to find the down payment ?The bank that you work for requires that for mortgage loans, the applicants ( in this case Mr. and Mrs. Brady) , should be able to pay 1 / 5 of the market value of the property as down payment.
The down payment is therefore :
= Market value of house x Requirement of bank
= 180, 000 x 1 / 5
= 180, 000 / 5
= $ 36, 000
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The rest of the question is:
Your bank requires 1/5 of the market value as a down payment.
What is the amount (in $) of the down payment?
the ratio in the simplest form 3:9
Answer:
1:3
Step-by-step explanation:
the greatest common factor is 3 so to simplify divide both sides by 3.
Problem 1:
The US Department of Energy conducts weekly surveys of approximately 900 gasoline stations to
determine the average price per gallon of regular gasoline in the U.S. On December 29, 2003, the average price was $1.478 per gallon.
a. Identify the population.
b. Identify the sample.
c. Identify the parameter.
d. What is the statistic?
e. If the 900 gasoline stations were randomly selected from the gasoline stations in Minnesota.
Is this a good sample? Explain.
The population is 900 gasoline stations. The sample is 800. The parameter is price of gasoline. The statistics is for 900 stations and not all stations.
What is average?The ratio of the sum of the values in a particular set to all the values in the set is the mean value, which is the definition of the average. The average formula has numerous practical uses. If we were asked to determine the average male height in India or the average age of the men and women in a group, we would add up all the data and divide it by the total number of data points.
The population is 900 gasoline stations.
The sample is 800.
The parameter is price of gasoline.
The statistics is for 900 stations and not all stations.
The sample selected is a good sample as it covers most of the gas stations.
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GDrag expressions and value to represent the situation and the unknown in the diagram
Expressions using words: 2/5 as the sum of 4 and 8.
Expression with using numbers: 2/5 x(8+4)
Value = 12 2/5.
What is Fraction?The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.
The number of parts into which the whole has been divided is shown by the denominator. It is positioned in the fraction's lower portion, below the fractional bar.How many sections of the fraction are displayed or chosen is shown in the numerator. It is positioned above the fractional bar in the upper portion of the fraction.Given:
First, the Expressions using words
2/5 of the product of 8 and 4.
4 times as mush as 2/5 of 8.
2/5 as the sum of 4 and 8.
Now, Expression with using numbers
2/5 + (8+4)
2/5 x (8 x 4)
4 x (2/5 x 8)
2/5 x(8+4)
Values are: 2 2/5, 4 2/5, 32 2/5, 12 2/5.
Now, the Answers is
Expressions using words: 2/5 as the sum of 4 and 8.
Expression with using numbers: 2/5 x(8+4)
Value = 12 2/5.
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15.0782 to one decimal place
Answer:
15.1
Step-by-step explanation:
15.0782 is between 15.0 and 15.1. It is closer to 15.1
what is the equation of a line with a y-intercept of -3 and a slope of -4/5
Answer:
Below
Step-by-step explanation:
y= mx + b is the slope intercept form of a line
m = slope and b = y-axis intercept
Plug in the given values
y = -4/5 x -3
In an orchestra, the ratio of trombones to violas is 1 to 3.
Answer:
3 trombones
Step-by-step explanation:
9 divided by three is 3.
At a Noodles & Company restaurant, the probability that a customer will order a nonalcoholic beverage is 44
The probability of not ordering nonalcoholic beverages is 66.
What is the probability?Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
Probability = Number of favourable outcomes / Number of samples
Given that at a Noodles & Company restaurant, the probability that a customer will order a nonalcoholic beverage is 44%.
The probability of not ordering the beverages will be:-
P = 100% - 44%
P = 66%
Therefore, the probability of not ordering nonalcoholic beverages is 66.
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How many hours do I need to work to make 35$
How many hours do I need to work to make $94
How many hours do I need to work to make $540
Explain:
Step-by-step explanation:
Is some of the problem missing? impossible to answer unless we know how much they make an hour
The cost of tuition at a state college is $8,500 and is increasing by 3% each year. what is the cost of the tuition after 6 years?
Answer: $51,000
Step-by-step explanation:
At first, I multiplied 8,500 times 3 then the outcome I got was 25,500 so now I'm going to try multiplying 8,500 times 6 which equals 51,000 but I'm sorry if I got the answer wrong
PLEASE HELP MY HW IS LATE
The following information can be extracted from the system of triangles ABC and DEF:
Case A: 3 / 5 = y / z
Case D: m ∠ C = m ∠ F
Case E: Δ ABC ~ Δ DEF
How to interpret a system of two similar triangles
In this problem we find a representation of a system with two similar triangles, that is, two triangles with two congruent internal angles and proportional sides. Then, the following relationships are derived below:
m ∠ A = m ∠ D
m ∠ B = m ∠ E
m ∠ C = m ∠ F
AB / DE = BC / EF = AC / DF
6 / 10 = y / z = x / w
3 / 5 = y / z = x / w
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Solve 4x - 5 = 19.
O A. x=8
O B. x=6
O C. x=3.5
O D. x=10
How many adults binge drink four times per month?
A. 1 in 10
B. 1 in 6
C. 1 in 4
D. 1 in 8
Answer:
C.
Step-by-step explanation:
Its more likely to happen
the number of faculty for a variety of private colleges that offer only bachelor's degrees is listed below. 285 125 120 128 135 138 155 226 389 116 154 310 204 206 162 165 135 77 248 225 264 318 176 221 210 93 176 276 What is the class width for a frequency distribution with 9 classes? The class width is_____
The class width for a frequency distribution with 9 classes is 35.
What is range of the data?The difference between the highest and lowest values for a given data collection is the range in statistics. In statistics, we must put the given values, set of data, or set of observations in ascending order in order to determine the range. That indicates that you should start by writing the observations from lowest to highest value. The formula must now be used to determine the range of observations.
The range of the data is given as:
Range = highest value - lowest value
Range = 389 - 77
Range = 312
The class width for a frequency distribution with 9 classes is:
Class width = 312 / 9 = approx. 35.
Hence, the class width for a frequency distribution with 9 classes is 35.
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The angles in a straight line are X degree, 3x degree and 6x degree. find the measure of each angle.
Answer:
"18", "54", and "108"
Step-by-step explanation:
Angles:A straight line has an angle of 180 degrees. It can be seen as "half a circle", which has an angle of... 360 degrees, and since it's half, it's just 180 degrees.
Now we're also given the angles that compose the straight line (x, 3x, and 6x), and by adding these angles together, we should get the angle of the straight line. So that means that: [tex]x+3x+6x=180[/tex]
Now from here we can just combine them all into one term:
[tex]10x=180[/tex]
Now divide both sides by 10:
[tex]x=18[/tex]
Our angles are equal to "x", "3x", "6x", and to calculate their value, we just plug in "18" as x giving us: "18", "3(18)", "6(18)" which simplifies to the angles: "18", "54", "108"
show that the cosine rule shown below can be solved can be rearranged to give..
Using trigonometry, solving the provided question, we can say that here, [tex]2ab cos A = \frac{b^{2} + c^{2} - a^{2}}{2bc}[/tex] and [tex]\theta = 37[/tex]
What is Trigonometry?The relationship between triangle side lengths and angles is examined in the branch of mathematics known as trigonometry. The application of geometry in astronomical study gave rise to the area's first appearance in the Hellenistic era, roughly in the third century BC. Exact approaches mathematics focuses on certain trigonometric functions and how they could be applied to calculations. In trigonometry, there are six well-known trigonometric functions. They are known by their various names and acronyms: sine, cosine, tangent, cotangent, secant, and cosecant (csc). Trigonometry is the study of the properties of triangles, particularly of right triangles. The features of all geometric figures are studied in geometry.
where the sides b and c are forced together, trapping the angle A in (1). There are three options if you wish to rearrange the formula. You can get the answer for B, C, or A.
Reverse the cosine rule provided:
[tex]A^{2} = b^{2} + c^{2}- 2abcos A[/tex]
[tex]2ab cos A = \frac{b^{2} + c^{2} - a^{2}}{2bc}[/tex]
Replace A = θ with a = 17, b = 14, and c = 26,
then simplify:
[tex]Cos \theta = \frac{14^{20} + 26^{2} - 17^{2}}{2\times 14 \times 26}[/tex]
[tex]Cos \theta = \frac{583}{728}[/tex]
[tex]\theta = cos^{-1}(\frac{583}{728})[/tex]
[tex]\theta = 37[/tex]°
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Complete question -
Explain how to rewrite the function shown in order to determine the transformation of the parent function. Then, describe the transformation of the graph compared to the parent function. y=3sqaure root-8x-4
The parent function of the function f(x) = 3√(-8x - 4) will be h(x) = √x.
What is a function?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.
The function is given below.
f(x) = 3√(-8x - 4)
Simplify the function, then we have
f(x) = 3√(-8x - 4)
f(x) = 6√- (2x + 1)
Divide the equation by 6, then we have
g(x) = √(-2x - 1)
Replace -(2x + 1) with x, then we have
h(x) = √x
The parent function of the function f(x) = 3√(-8x - 4) will be h(x) = √x.
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Answer:
Rewrite the equation by factoring –8 from the radicand and taking the cube root to get –2 in front of the radical symbol.
The graph is reflected over the x-axis.
The graph is also reflected over the y-axis.
The graph is vertically stretched by a factor of 2.
The graph is translated ½ unit to the left.
Step-by-step explanation: All possible answers for edge
Find: (6m^5+3-m^3-4m)-(-m^5+2m^3-4m+6)
The simplification of the algebraic expression results in 7m^5 - 3m^3 - 3.
What are algebraic expressions?Algebraic expressions are mathematical expressions that consist of integers, variables, and arithmetic operations. To simplify algebraic expressions, some mathematical properties are being used such as distributive property in opening the brackets and additional property in adding like terms together.
Given that:
= (6m^5+3-m^3-4m)-(-m^5+2m^3-4m+6)
Apply distributive property
= 6m^5 + m^5 - m^3 -2m^3 - 4m + 4m + 3 - 6
Add like terms
= 7m^5 - 3m^3 - 3
Therefore, we can conclude that the simplification of the algebraic expression results in 7m^5 - 3m^3 - 3.
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A student takes ten exams during a semester and receives the following grades: 90, 85, 97, 76, 89, 58, 82, 102, 70, and
67. Find the five-number summary used in a boxplot. Which boxplot best represents the data?
+
a.
b.
C.
d.
++++
50 55 60 65 70 75 80 85 90 95 100 105
+4
+ +
+
+++
50 55 60 65 70 75 80 85 90 95 100 105
4
4++
50 55 60 65 70 75 80 85 90 95 100 105
◆
50 55 60 65 70 75 80 85 90 95 100 105
Quadrile 1: 70 Quartile 3: 90 Median: 83.5 Lowest: 58 The average of the five summaries is maximum: 102.
what is mean ?The mean of even a dataset, often described as the mean and median, is the sum including all values divided by the overall number of values (as opposed to the geometric mean). This represents the most often used indicator of central tendency and is constantly referred to as the "mean." This is obtained by dividing the number of values contained within the dataset by the sum of all the values. Calculations can be conducted using either raw data or data that has been integrated into frequency tables. A number's average is called to as its average. Simple statistics can be used to determine: After adding up all the digits, divide by the number of digits total. the sum divided by the number.
given
The first quartile, median, third quartile, and maximum are the five summaries that make up the distribution of the ordered observation.
Five-number formula overview
Minimum: The first piece of the set
(n+1)/4 is the first quartile.
Average: (n+1)/2
Quartile three: 3(n+1)/4
Maximum: The set's final component
The five-digit grade summary (90, 85, 97, 76, 89, 58, 82, 102, 70, 67)
58 minimum
70 in the top quartile
Average: 83.5
90th percentile:
The most: 102
Quadrile 1: 70 Quartile 3: 90 Median: 83.5 Lowest: 58 The average of the five summaries is maximum: 102.
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if you can run 1 1/2 miles in 15 minutes how long would it take to run 1 mile
Answer:
Step-by-step explanation:
In 1903, Crayola's very first box of crayons had 8 colors. Today there are 120 Crayola crayon colors to choose from. find the percent change.
Answer:
Step-by-step explanation:
To find the percent change, we can use the formula:
percent change = (final value - initial value) / initial value * 100
In this case, the initial value is 8 and the final value is 120. Plugging in the values, we get:
percent change = (120 - 8) / 8 * 100 = 1,400%
So, the percent change in the number of Crayola crayon colors is 1,400%. This represents a significant increase from the initial 8 colors in 1903.