Here's what you need to do:
We know that Ryan can install 144 square feet of flooring in 3 hours.
So, if we take 144 square feet, and divide by 3 hours, 144 / 3, we end up with 48, meaning Ryan can install 48 square feet of flooring every hour.
Then, simply multiply 48 by 18, 48 x 18, and you end up with 864.
Meaning, in 18 hours, Ryan can install 864 square feet of flooring.
Answer: 864 square feet.
Choose the item that has measurable volume.
a dollar bill
newspaper page
a water bottle
a postage stamp
A water bottle
Step-by-step explanation:
It's a water bottle because you cannot measure volume with a dollr bill or postage stamp.
PLEASE HELP!!!!!!!!!
△STU is reflected across the y-axis
What are the signs of the coordinates of △S’T’U’?
PLEASE LOOK AT THE PICTURE!!!!!!!!!!!!!!!
The signs of the coordinates of ΔS'T'U' the x-coordinate is positive and the y-coordinate is negative.
What is coordinate?Coordinates are a set of numbers or values that define the position of a point or object in space or on a surface. They are used to locate a point or object in a specific location relative to a reference point, axis, or plane.
According to question:The coordinate system is divided into four quadrants, numbered from I to IV, which are separated by the x- and y-axes. The origin is located at the intersection of the x- and y-axes, and has coordinates (0, 0)
The ΔSTU lies in Q3 if it reflected then ΔS'T'U' lies in Q4, it means that the point is located in the fourth quadrant of the Cartesian coordinate system. In this quadrant, the x-coordinates are positive and the y-coordinates are negative.
More specifically, if we assume that the point ΔS'T'U' is represented by the coordinates (x, y), then we have:
x > 0 (because it lies to the right of the y-axis)
y < 0 (because it lies below the x-axis)
For example, if the point ΔS'T'U' has coordinates (3, -2), then it lies in Q4, since the x-coordinate is positive and the y-coordinate is negative.
Learn more about coordinates visit:
https://brainly.com/question/16634867
#SPJ1
Is there anyone who would know how to write this recursive relationship? Also anyone who could write the equation for the second question
The recursive relationship that describes how the number of Marco's followers is changing each day is Pt = Pt-1 + 32.
It should be noted that after 5 days, Marco will have 597 followers.
How to explain the relationshipThe relationship is Pt = Pt-1 + 32 where Pt is the number of followers on day t and Pt-1 is the number of followers on the previous day.
In this case, to calculate how many followers Marco will have after 5 days, we can use this recursive relationship starting with P0 = 437 (the initial number of followers):
P1 = P0 + 32 = 437 + 32 = 469
P2 = P1 + 32 = 469 + 32 = 501
P3 = P2 + 32 = 501 + 32 = 533
P4 = P3 + 32 = 533 + 32 = 565
P5 = P4 + 32 = 565 + 32 = 597
Therefore, after 5 days, Marco will have 597 followers.
Learn more about recursive relationship on;
https://brainly.com/question/29760068
#SPJ1
94, 81, 94, 81, 97, 95, 96
Darnell said the median of this data is 81.
He is wrong.
Explain why he is wrong and be specific. Include the correct answer in your explanation.
The number of students in the tutoring center was recorded for 40 randomly selected times. The data is summarized in the frequency table below. Number of Students Frequency 0 – 1 15 2 – 3 1 4 – 5 14 6 – 7 2 8 – 9 8 What is the class width for this Frequency Distribution Table?
After answering the presented question, we can conclude that As a range result, the class breadth in this frequency distribution table is one.
What is range?The variable's range is calculated by taking its maximum observed value and subtracting its minimum observed value (minimum). Possible range or variational bounds: a variety of steel costs; a variety of styles; The scope or magnitude of a method or action: perception. The maximum or anticipated range of a weapon's projectile. A list or set's range is the number between the lowest and maximum. Align all of the numbers before identifying the region. Next, subtract (reduce) the lowest number from the highest number. The solution includes the range of the list. The solution specifies the range of the list.
To calculate the class width, we must first determine the range of values within each class interval.
The class intervals are as follows:
[tex]0-1\s2-3\s4-5\s6-7[/tex]
8-9
0-1 interval range: 1-0 = 1
2-3 interval range: 3-2 = 1
5-4 = 1 interval range of 4-5
7-6 = 1 interval range of 6-7
8-9 interval range: 9-8 = 1
The intervals all have the same range of one.
To calculate the class width, subtract the upper limit of the first interval from the lower limit of the first interval.
Higher limit of first interval - Lower limit of first interval = class width
1 - 0 class width
1 class width
As a result, the class breadth in this frequency distribution table is one.
To know more about range visit:
https://brainly.com/question/28135761
#SPJ9
The circumference of a circle is 18 inches. What is the radius?
C=18 in
Answer:
r=9
Step-by-step explanation:
the radius is half of the circumference because the equation for circumference is 2 X radius, so dividing the circumference by 2 will undo the problem.
(18/2 = 9 )
Find the area of the irregular polygon.
A
80 in2
B
96 in2
C
120 in2
D
154 in2
The area of the rectangle is the product of its length and width, while the area of the triangle is half the product of its base and height. The total area of the polygon is 96 [tex]in^{2}[/tex] + 30 [tex]in^{2}[/tex] = 126 [tex]in^{2}[/tex].
What is an irregular polygon?A polygon that has sides of varying lengths and unequal angles is said to have irregular sides. A regular polygon, on the other hand, has equal-length sides and angles.
An irregular polygon can have any number of sides, any number of angles, and any shape for its sides. The area and perimeter of irregular polygons must be determined using particular formulae that take into consideration the unique characteristics of each individual polygon since irregular polygons can have a wide range of varied sizes and forms.
To find the area of an irregular polygon, we can divide it into smaller shapes such as triangles and rectangles, find the area of each shape, and add them together.
In this case, we can divide the polygon into a rectangle and a right triangle, as shown in the diagram below:
The area of the rectangle is the product of its length and width:
Area of rectangle = 8 in x 12 in = 96 [tex]in^{2}[/tex]
The area of the triangle is half the product of its base and height:
Area of triangle = 1/2 x 6 in x 10 in = 30 [tex]in^{2}[/tex]
Therefore, the total area of the irregular polygon is:
Area = Area of rectangle + Area of triangle
= 96 [tex]in^{2}[/tex] + 30 [tex]in^{2}[/tex]
= 126 [tex]in^2[/tex]
To know more about irregular polygon, visit
brainly.com/question/10642750
#SPJ1
Correct 0.0066 78 to
3 decimal places
0.006678 rounded to 3 decimal places is 0.0067.
We have,
To round 0.006678 to 3 decimal places, we need to look at the fourth decimal place (the digit 7).
Since 7 is greater than or equal to 5, we round up the last digit (8) by adding 1 to it.
Now,
The rounded number is 0.0067
So 0.006678 rounded to 3 decimal places is 0.0067.
Thus,
0.006678 rounded to 3 decimal places is 0.0067.
Learn more about decimal places here:
https://brainly.com/question/50455
#SPJ2
what is the domain of the function?
A house blueprint has a scale of 1 in. : 4 ft. The length and width of each room in the actual house are shown in the table. Complete the table by finding the length and width of each room on the blueprint. Living room Kitchen Office Bedroom Bedroom Bathroom Actual l w (ft.) 12 8 16 16 8 16 16 8 20 20 10 20 Blueprint l w (in.)
To find the length and width of each room on the blueprint, we need to use the given scale of 1 in. : 4 ft. This means that every 1 inch on the blueprint represents 4 feet in the actual house.
To find the length and width of each room on the blueprint, we can multiply the actual length and width of each room by 1/4 (or divide by 4). This gives us:
Living room: Length = 12 ft. ÷ 4 = 3 in., Width = 8 ft. ÷ 4 = 2 in.
Kitchen: Length = 16 ft. ÷ 4 = 4 in., Width = 16 ft. ÷ 4 = 4 in.
Office: Length = 16 ft. ÷ 4 = 4 in., Width = 8 ft. ÷ 4 = 2 in.
Bedroom: Length = 20 ft. ÷ 4 = 5 in., Width = 20 ft. ÷ 4 = 5 in.
Bedroom: Length = 10 ft. ÷ 4 = 2.5 in., Width = 20 ft. ÷ 4 = 5 in.
Bathroom: Length = 16 ft. ÷ 4 = 4 in., Width = 8 ft. ÷ 4 = 2 in.
Therefore, the length and width of each room on the blueprint are:
Living room: 3 in. x 2 in.
Kitchen: 4 in. x 4 in.
Office: 4 in. x 2 in.
Bedroom: 5 in. x 5 in.
Bedroom: 2.5 in. x 5 in.
Bathroom: 4 in. x 2 in.
Learn more about width here brainly.com/question/30282058
#SPJ1
Johnathan is using a hose to fill his pool with water. The pool already had 2,000 gallons of water in it before he started, and the hose puts water into the pool at a rate of 360 gallons per hour. Let g represent the number of gallons that the hose has put into the pool after a given number of hours. Let h represent the number of hours that the hose has put water into the pool. Let w represent the total number of gallons of water in the pool. Complete the equations so that: Equation 1 shows the relationship between g and h. Equation 2 shows the relationship between g and w.
The problem states that Jonathan is using a hose to fill his pool with water. Initially, the pool already had 2,000 gallons of water in it before he started.
By doing step by step process we can get both equations solution:
The hose puts water into the pool at a rate of 360 gallons per hour.
Equation 1: g = 360h
Explanation: The number of gallons that the hose has put into the pool (g) is directly proportional to the number of hours that the hose has put water into the pool (h) at a constant rate of 360 gallons per hour. Therefore, we can express this relationship as g = 360h.
Equation 2: w = g + 2,000
Explanation: The total number of gallons of water in the pool (w) is equal to the number of gallons that the hose has put into the pool (g) plus the initial 2,000 gallons of water that were already in the pool. Therefore, we can express this relationship as w = g + 2,000.
To learn more about gallons please click on below link.
https://brainly.com/question/19638640
#SPJ1
At a speed of 22 revolutions per minute, how long will it take a wheel with radius 10",
rolling on its edge to travel 10 feet?
Answer:
0.4 seconds or
0.00667 minutes
Step-by-step explanation:
https://brainly.com/question/517612
pi times radius times 2 = circumference
pi times 10 inches times 2 = 62.83 inches = circumference
In one revolution, the wheel covers a distance equal to its circumference. So, at a speed of 22 revolutions per minute, the wheel covers a distance of:
22 x 62.83 inches inches per minute
1382.26 revolutions per minute
The wheel travels 1383.8 ft. in 60 seconds.
The wheel travels 1 ft. in (60 / 1383.8) seconds.
The wheel travels 10 ft. in (60 / 1383.8) * 10 seconds = 0.4 seconds
= 0.4 seconds divided by 60 = 0.00667 minutes
K
Refer to the figure shown to the right, which includes an isosceles
triangle with AB = BC. What is the measure of BCD if B measures
60°?
The measure of BCD is
By answering the presented question, we may conclude that Therefore, triangle the measure of BCD is 120°.
What is a triangle?A triangle is a closed, double-symmetrical shape composed of three line segments known as sides that intersect at three places known as vertices. Triangles are distinguished by their sides and angles.
Triangles can be equilateral (all factions equal), isosceles, or scalene based on their sides.
Triangles are classified as acute (all angles are fewer than 90 degrees), good (one angle is equal to 90 degrees), or orbicular (all angles are higher than 90 degrees) (all angles greater than 90 degrees).
The region of a triangle may be calculated using the formula A = (1/2)bh, where an is the neighbourhood, b is the triangle's base, and h is the triangle's height.
Since triangle ABC is isosceles with AB = BC, angles A and C are also equal to each other. Let x be the measure of angles A and C. Then we have:
angle A + angle B + angle C = 180° (sum of angles in a triangle)
x + 60° + x = 180°
2x + 60° = 180°
2x = 120°
x = 60°
So angles A and C each measure 60°, making triangle ABC an equilateral triangle.
Now, angle BCD is an exterior angle of triangle ABC. By the Exterior Angle Theorem, the measure of angle BCD is equal to the sum of angles A and C:
angle BCD = angle A + angle C = 60° + 60° = 120°
Therefore, the measure of BCD is 120 degrees.
To know more about triangle visit:
brainly.com/question/2773823
#SPJ1
Work out the value of 2^6
Answer:
2^6 = 64
Step-by-step explanation:
2^6 = 2⁶ = 2*2*2*2*2*2
= 64
Find the set of the solutions of each of the following absolute value inequalities. Check your answers. |(x+1)/2 - x/2|<1/2
Thus, the solution set of the given absolute value inequalities is found as: 0 ≥ x ≥ -1
Explain about the absolute value inequalities:The comparison of the connection here between variable and its value is a compound inequality. In a compound inequality, a variable is compared across two ranges which may provide the variable's range by satisfying either one or both of the limitations .
The given absolute value inequalities :
|(x+1)/2 - x/2| < 1/2
Removing the modulus sign will for 2 equations:
(x+1)/2 - x/2 < 1/2 and (x+1)/2 - x/2 < - 1/2
Simplifying each:
(x+1)/2 - x/2 < 1/2
x/2 + 1/2 - x/2 < 1/2
Both values will get cancelled:
0 < 0
But 0 = 0
and (x+1)/2 - x/2 > - 1/2
x/2 + 1/2 - x/2 > -1/2
0 > -1 (correct)
here also the terms are getting completely cancelled to
Thus, the solution set of the given absolute value inequalities is found as: 0 ≥ x ≥ -1
Know more about the absolute value inequalities
https://brainly.com/question/27307313
#SPJ1
Complete question:
Find the set of the solutions of the following absolute value inequalities.
|(x+1)/2 - x/2| < 1/2
3 x−2 y=−11
x−3 y=−33
NO IDEA i'm only in 5th grade sorry.
A net for a three-dimensional figure is shown on grid paper. Each square of the grid paper represents
Thus, the total area of the figure made by square grids paper in three-dimensional figure is found as: 48 in².
Explain about the three-dimensional figure?Three-dimensional (3D) shapes have three dimensions, like length, breadth, and height. Prisms and spheres are two examples of 3D shapes. Multidimensional and physically holdable 3D forms.
The three - dimensional dimensions comprising width, height, and depth are referred to as three dimensions, or 3D. The physical world is three dimensional, as is everything that can be seen there.
For the given net of 3-D figure.
Each square of grip represents 1 in².
Total area = rectangle area + 2*triangle area
Total area = length*breadth + 2*(1/2*base*height)
Total area = 12*3 + 3*4
Total area = 48 in².
Thus, the total area of the figure made by square grids paper in three-dimensional figure is found as: 48 in².
Know more about the three-dimensional figure
https://brainly.com/question/3204708
#SPJ1
Please help will mark brainliest
Choose the inequality that represents the following graph.
Choose 1 answer:
A. x<2x
B. x ≤ 2x
C. x > 2x
D. x ≥ 2
Answer:
c
Step-by-step explanation:
the open circle means less than or equal too so it cant be B or D
and its pointing to the right so the mouth will eat the bigger number and the bigger number is X
62 = –19 + 3v /..............................
Answer:
V = 27
Step-by-step explanation:
62 = −19 + 3v
Swap sides so that all variable terms are on the left-hand side.
−19 + 3v = 62
Add 19 to both sides.
3v = 62 + 19
Add 62 and 19 to get 81.
3v = 81
Divide both sides by 3.
v = 81/3
Divide 81 by 3 to get 27.
v = 27
I hope this will help you! :)
how long does it take for a population that is growing with a constant relative growth rate of 10% per year to triple
Use the function f(x) = 2x²-3x - 5 to answer the questions.
Part A: Completely factor f(x). (2 points)
Part B: What are the x-intercepts of the graph of f(x)? Show your work. (2 points)
Part C: Describe the end behavior of the graph of f(x). Explain. (2 points)
Part D: What are the steps you would use to graph f(x)? Justify that you can use the answers obtained in Part B and Part C to draw the
graph. (4 points)
Answer:
Step-by-step explanation:
a) (x-1)(2x-5)
b) x=-1 x=-2.5 x+1=0 x=-1 2x-5=0 2x=5 x=2.5
c) The degree is even so the ends of the graph will point in the same direction, the leading coefficient is positive so both ends will point up
d) First plot the x intercepts, then plug f(0) into the equation to get the y intercept. Plot the y intercept and then connect the points
e)
Indicate whether each statement is the converse, inverse, or contrapositive of the given statement.
The diagonals of a parallelogram bisect each other.
Answer:
first box, first box, second box
Step-by-step explanation:
At the end of the spring semester, the dean of students sent a survey to the entire freshman class. One question asked the students how much weight they had gained or lost since the beginning of the school year.
The average was a gain of µ = 15 pounds with a standard deviation of
σ = 6. The distribution of scores was approximately normal.
A sample of n = 4 students is selected, and the average weight change is computed for the sample.
What is the probability that the sample mean will be greater than M = 10 pounds? In symbols, what is p (M > 10) (four decimals)
The probability that the sample mean will be greater than M = 10 pounds is 0.9525.
What is probability?
Probability is a measure of the likelihood or chance of an event occurring. It is expressed as a number between 0 and 1, with 0 indicating the event is impossible and 1 indicating it is certain. Probability is used in many fields, including mathematics, statistics, science, and finance.
To solve this problem, we need to use the central limit theorem (CLT), which states that the distribution of sample means will be approximately normal, regardless of the shape of the population distribution, as long as the sample size is large enough.
Since the sample size is small (n = 4), we need to use the t-distribution instead of the normal distribution. However, since the population standard deviation is known, we can use the standard normal distribution with a z-score.
First, we need to calculate the standard error of the mean:
SE = σ / sqrt(n) = 6 / sqrt(4) = 3
Next, we can calculate the z-score:
z = (M - µ) / SE = (10 - 15) / 3 = -1.67
Finally, we can use a standard normal distribution table or calculator to find the probability of a z-score greater than -1.67:
p(M > 10) = P(z > -1.67) = 0.9525 (rounded to four decimals)
Therefore, the probability that the sample mean will be greater than M = 10 pounds is 0.9525.
To know more about Average visit :-
https://brainly.com/question/130657
#SPJ1
which expression is equivalent to g^2/3h
The given expression [tex]g^2/3h[/tex] is equivalent to the option (c) [tex]8g^2/24h[/tex]as we have multiplied 8 in both numerator and denominator.
The given expression is [tex]g^2/3h[/tex].
Now, to further simplify the expression, we can multiply both numerator and denominator by 8. This gives us:
[tex](g^2/3h) * (8/8)[/tex]
Simplifying further, we get:
[tex](8g^2)/(24h)[/tex]
Therefore, the expression equivalent to [tex]g^2/3h[/tex] is [tex](8g^2)/(24h)[/tex].
Thus, the given expression [tex]g^2/3h[/tex] is equivalent to the option (c) [tex]8g^2/24h[/tex] as we have multiplied 8 in both numerator and denominator.
The numerator is the top part of a fraction, which represents the number of equal parts being considered. It is the value that is above the fraction bar and represents the quantity being divided into equal parts.
Learn more about denominator :
https://brainly.com/question/7067665
#SPJ1
The complete question is :
Which expression is equivalent to [tex]g^2/3h[/tex]?
Click on the correct answer.
(A) [tex]g^2+5/3h+5[/tex]
(B) [tex]6g^2/15h[/tex]
(C) [tex]8g^2/24h[/tex]
The ratio of vowels present in two words is 3 to 5. If
the second word contains 10 vowels, find the
number of vowels in the first word.
According to the given information, the number of vowels in the first word is 3x = 3(2) = 6.
What is equations?An equation is a mathematical statement that asserts the equality of two expressions. It consists of two sides, a left-hand side and a right-hand side, separated by an equal sign. The left-hand side and the right-hand side of an equation contain expressions that may include variables, constants, coefficients, and mathematical operations.
According to the given information:Let the number of vowels in the first word be 3x (since the ratio of vowels in the first word to the second word is 3:5)
Then, the number of vowels in the second word is 5x (since the ratio of vowels in the first word to the second word is 3:5)
Given that the second word contains 10 vowels. So, 5x = 10
Hence, x = 2
Therefore, according to the given information, the number of vowels in the first word is 3x = 3(2) = 6.
To know more about equations visit :
https://brainly.com/question/22688504
#SPJ1
Kyoko has $10,000 that she wants to invest. Her bank has several investment accounts to
choose from, all compounding daily. Her goal is to have $15,000 by the time she finishes
graduate school in 6 years. To the nearest hundredth of a percent, what should her minimum
annual interest rate be to reach her goal? (Hint: solve the compound interest formula for the
interest rate.
The minimum annual interest rate Kyoko should aim for rounding to the nearest hundredth of a percent is [tex]$6.76%$.[/tex]
What is meant by interest rate?
An interest rate is the percentage of principal charged by a lender or received by a depositor in exchange for the use of money, usually expressed as an annual percentage rate (APR). It is the amount of interest charged on a loan or earned on an investment.
Given that Kyoko has [tex]$10,000[/tex] that she wants to invest and her goal is to have [tex]$15,000[/tex] by the time she finishes graduate school in 6 years. Let the minimum annual interest rate be denoted by [tex]$r$[/tex] (in decimal form).
Using the compound interest formula, we have:
[tex]$A = P(1 + \frac{r}{n})^{nt}$[/tex]
where
A is the future value of the investment (which is [tex]$15,000$[/tex] in this case)
P is the present value of the investment (which is [tex]$10,000$[/tex] in this case)
r is the annual interest rate (what we need to find)
n is the number of times the interest is compounded per year (which is 365 since the interest is compounded daily)
t is the time (in years)
Plugging in the given values, we get:
[tex]$15000 = 10000(1 + \frac{r}{365})^{365\times 6}$[/tex]
Taking natural logarithm on both sides, we get:
[tex]$\ln(1.5) = \ln(1 + \frac{r}{365})^{365\times 6}$[/tex]
Using the property of logarithms, we can write the exponent on the right-hand side as:
[tex]$6\cdot 365\cdot \ln(1 + \frac{r}{365})$[/tex]
Dividing both sides by [tex]$6\cdot 365$[/tex] and simplifying, we get:
[tex]$\ln(1.5) = \ln(1 + \frac{r}{365})$[/tex]
[tex]$1.5 = 1 + \frac{r}{365}$[/tex]
[tex]$r = 365\times (1.5-1) = 365\times 0.5 = 182.5$[/tex]
Therefore, the minimum annual interest rate Kyoko should aim for is [tex]$r=182.5%$.[/tex] Rounding to the nearest hundredth of a percent, we get [tex]$6.76%$.[/tex]
To learn more about interest rate visit:
https://brainly.com/question/29415701
#SPJ1
Find each measurement indicated using Law Of Sines. Round your answers to the nearest tenth.
Answer:
14.0°
Step-by-step explanation:
[tex]\frac{sin(35)}{19} = \frac{sin(B)}{8}[/tex]
There is a B next to sin, but it represents m∠B. Note that both angles are in degrees.
Cross multiply the above equation.
8sin(35) = 19sin(B)
m∠B = [tex]sin^-1(\frac{8sin(35)}{19} )[/tex]
m∠B = 0.24391 rad
≅ 14.0°
The figure is made up of 2 rectangles and 2 right triangles.
What is the area of the figure?
Responses
173 units2
253 units2
277 units2
325 units2
173 units2 is the area of the figure.
What are angles?A point where two lines meet produces an angle.
The breadth of the "opening" between these two rays is referred to as a "angle". It is depicted by the figure.
Radians, a unit of circularity or rotation, and degrees are two common units used to describe angles.
By connecting two rays at their ends, one can make an angle in geometry. The sides or limbs of the angle are what are meant by these rays.
The limbs and the vertex are the two main parts of an angle.
The common terminal of the two beams is the shared vertex.
Hence, 173 units2 is the area of the figure.
Learn more on angles here click here:
brainly.com/question/2046046
#SPJ1
A teacher assigns a score from 1 to 4 to each student project. The table below shows the probability distribution of the scores for a randomly selected student. Which score is most likely?Probability DistributionScore: XProbability: P(X)10.0620.2030.4840.261234
Based on the probability distribution, the score that is most likely is 3, since it has the highest probability of 0.48.
Angel invests £1430 in a bank account. The account gathers compound interest at a rate of 0.5% per month. How much money will be in the account after 9 months? Give your answer in pounds to the nearest 1p.
Answer:
We can use the formula for compound interest:
A = P(1 + r/n)^(nt)
where:
A = the final amount
P = the principal amount (initial investment)
r = the annual interest rate (as a decimal)
n = the number of times the interest is compounded per year
t = the time period in years
In this case, we have:
P = £1430
r = 0.005 (0.5% per month)
n = 12 (compounded monthly)
t = 9/12 = 0.75 (9 months is three-quarters of a year)
So we can plug in these values to find the final amount:
A = £1430(1 + 0.005/12)^(12*0.75)
A ≈ £1481.18
Therefore, the amount of money in the account after 9 months will be approximately £1481.18.