Mr Page uses oil to heat his home.
At the beginning of November there were 1000 litres of oil in his oil tank.
Mr Page bought enough oil to fill the tank completely.
He paid 50p per litre for this oil.
He paid a total amount of £750
At the end of February Mr Page had 600 litres of oil in the tank.
He bought enough oil to fill the tank completely.
The cost of oil had increased by 4%.
Work out the total amount Mr Page paid for the oil he bought in February.

Answers

Answer 1

The total amount Mr Page paid for the oil he bought in February was $21,580.

Since Mr Page uses oil to heat his home, and at the beginning of November there were 1000 liters of oil in his oil tank, and Mr Page bought enough oil to fill the tank completely, and he has paid $50 per liter for this oil, and he has paid a total amount of $750, while at the end of February Mr Page had 600 liters of oil in the tank, and he has bought enough oil to fill the tank completely, and the cost of oil had increased by 4%, to determine the total amount Mr Page paid for the oil he bought in February, the following calculation must be performed:

1000 + (750 / 50) = X1000 + 15 = X1015 = X1015 - 600 = 415415 x (50 x 1.04) = X415 x 52 = X21,580 = X

Therefore, the total amount Mr Page paid for the oil he bought in February was $21,580.

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Related Questions

Group Work 2.6 Newton's Law of Cooling states that an object cools at a rate proportional to the difference between the temperature of the object and the room temperature. The temperature of the object at a time t is given by a function f(t)= alpha x^ prime prime +a where a = mc * pi temperature c = initial difference in temperature between the object and the room r = constant determined by data in the problem Suppose you make yourself a cup of tea. Initially the water has a temperature of 95 degrees * C ; 5 minutes later the tea has cooled to 65 degrees * C Problem: When will the tea reach a drinkable temperature of 40°C? Hint: Assume that the room temperature a = 22 degrees * C . First solve for r and then find tapplying the natural logarithm.​

Answers

Answer:

ΔT = ΔT0 e^-K T

As I understand Newton's Law of Cooling

ΔT at any time is the difference between the temperature and the surroundings

Originally       ΔT0 = 95 - 22   difference between 95 and room temperature

65 - 22 = 33 = 73 e^-KT      where t is time to cool to 65 deg

ln (33/73) = -KT       K = .794 / 5 = .159    where 5 is time to cool to 65 deg

40 - 22 = 73 e^-.159 T      where t is time to cool to 40 deg

18 = 73 e^-.159 T

ln (18 / 73) = -.159 T

T = 8.8 min

It would take 8.8 min for the object to cool to 40 deg C

Suppose the object cooled from 95 to 90 deg, then

ln 68 / 73 = -.159 T     and T = .45 min

Answer:

  13.2 minutes

Step-by-step explanation:

We cannot tell what your equation is supposed to be. Usually, the equation will have the form ...

  f(t) = c·e^(kt) +r

where c is the initial temperature difference (95 -22 = 73) and r is the room temperature (22). The value of k can be found from the given intermediate temperature and time.

  f(5) = 65 = 73·e^(k·5) +22

  43/73 = e^(5k)

Taking the natural log gives ...

  5k = ln(43/73)

  k = ln(43/73)/5 ≈ -0.105852

__

We want to find t for f(t) = 40. Then ...

  f(t) = 40 = 73·e^(-0.105852t) +22

  18/73 = e^(-0.105852t)

  t = ln(18/73)/-0.105852 ≈ 13.227

The tea will be drinkable after 13.2 minutes.

__

In the attached, we have used exponential regression to find the equation of the temperature curve.

PLEASE HELPPP!!
Find the value of X.

Answers

6x+10+81.5=180
Combine like terms
6x + 91.5 = 180
Subtract 91.5 from both sides
6x = 88.5
Divide by 6
X = 14.75

The answer is 3) 14.75

does the table represent a function, -3, 6, -2,9, 0,4, -2,5

Answers

Answer:

No.  There are two solutions to the point x=-2:  9 and 5.

Step-by-step explanation:

Use the vertical line test to determine whether or not a graph represents a function. If a vertical line is moved across the graph and touches the graph at only one point, then the graph is a function. If the vertical line touches the graph at more than one point, for the same x position, then the graph is not a function.

Line a goes through the points (- 3, 4) and (1, 2) . Line b goes through the point (6, 2) and (8, 1) . Are lines a and b parallel, perpendicular, or neither?

Answers

Answer:

They are parallel

Step-by-step explanation:

Find slope of point A

(-3,4), (1,2)

2-4=-2 1-(-3)=4

slope of a= -2/4 or -1/2

Find slope of point B

(6,2), (8,1)

1-2=-1, 8-6=2

slope of b= -1/2

Both have different slopes, and it can't be perpendicular because they have different denominator values.

Answer:

Step-by-step explanation:

(-3,4) (1,2)

difference is (y2 - y1) /( x2 - x1)

-2 / -4

-1/2 is the slope

(6,2) (8,1)

same as the last

-1 / 2

these lines have the same slope so they are parallel, if their slopes were reciprocals (-1/2 and 2) they would be perpendicular.

Where do planes PRS and QRST intersect?

Answers

Line RS is where they intersect
I think it’s RS is what intersect :)

HELP ME PLEASEEEE
6(p+2.25)=15 9/10 DUE RIGHT NOWWWW

Answers

Answer:

p=2/5

p=0.4

Step-by-step explanation:

Answer:

p=2/5

Step-by-step explanation:

6p+13.5=159/10

HELP ME PLEASE, I need help and don’t understand at all !

Answers

okkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkk

An exponential growth function has an asymptote of y = –3. Which might have occurred in the original function to permit the range to include negative numbers?

A whole number constant could have been added to the exponential expression.
A whole number constant could have been subtracted from the exponential expression.
A whole number constant could have been added to the exponent.
A whole number constant could have been subtracted from the exponent.

Answers

The right choice is: A whole number constant could have been subtracted from the exponential expression.

Let be an exponential function of the form [tex]y = A\cdot e^{B\cdot x}[/tex], where [tex]A[/tex] and [tex]B[/tex] are real numbers. A horizontal asymptote exists when [tex]e^{B\cdot x} \to 0[/tex], which occurs for [tex]B\cdot x \to - \infty[/tex].

For this function, the horizontal asymptote is represented by [tex]y = 0[/tex] and to change the value of the asymptote we must add the parent function by another real number ([tex]C[/tex]), that is to say:

[tex]y = A\cdot e^{B\cdot x} + C[/tex] (1)

In this case, we must use [tex]C = -3[/tex] to obtain an horizontal asymptote of -3. Thus, the right choice is: A whole number constant could have been subtracted from the exponential expression.

To learn more on asymptotes, we kindly invite to check this verified question: https://brainly.com/question/8493280

Answer: C. A whole number constant could have been added to the exponent.

Step-by-step explanation: On Edge!

pls help me with this:((((​

Answers

Answer:

See image

Step-by-step explanation:

Use y = mx + b called the slope-intercept form of the equation because you can pick the slope and also the y-intercept right off this equation. If you know what to look for, the information is just right there waiting for you to see it.

The m is the slope, that is the number in front of the x.

The b is the y-intercept, that is the number added on at the end of the equation.

The quadratic function f(x)= x^2-14x+53 is equal to zero when x=a+ or - bi
What is the value of a?
What is the value of b?

Answers

Answer:

A= 3x B= 6/8

Step-by-step explanation:

The value of a is 7, and the value of b is 2√(2) for the given quadratic function f(x) = x² - 14x + 53.

What is a quadratic function?

The quadratic function is defined as a function containing the highest power of a variable is two.

The quadratic function f(x) = x² - 14x + 53 is equal to zero when x = a + bi or x = a - bi. This means that the roots of the quadratic equation are a + bi and a - bi.

The roots of a quadratic equation can be found using the quadratic formula:

x = (-b +/- √(b² - 4ac)) / (2a)

In this case, a = 1, b = -14, and c = 53. Substituting these values into the quadratic formula, we get:

x = (-(-14) +/- √((-14)² - 4153)) / (2*1)

x = (14 +/- √(196 - 212)) / 2

x = (14 +/- √(-16)) / 2

Since the square root of a negative number is an imaginary number, the roots of the quadratic equation are a + bi and a - bi, where a = 14/2 = 7 and b = √(-16)/2 = 2√(2).

Therefore, the value of a is 7, and the value of b is 2√(2).

Learn more about quadratic function here:

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#SPJ2

What’s the domain and range for this? And is it a function? Yes or No

Answers

You are given the domain and range ( the numbers in each oval):

If There is more than one arrow connected to a number, that number is listed the same amount

Domain (-4,0,6,6)

Range (12,18,18,40)

To be a function each input value ( Domain) can only have one output value (range)

Because the 6 has two different outputs ( 12, 18) this is not a function.

Answer:

The input 6 (domain) leads to two outputs thus it is not a function.

Step-by-step explanation:

An investor owns shares of Stock A and Stock B. The investor owns a total of 200 shares with a total value of $4000. How many shares of each stock does the investor own?

A table shows the price of two stocks. Stock A, 9.50 dollars; Stock B, 27 dollars.

Answers

Answer:

109.5890410958904

Step-by-step explanation:

thats  the shares that the investor owns

What is -7w-4-5w+13 simplified?

Answers

-12W+9
It’s right I am an algebra 1 teacher

Which of these is always true?

A. Two lines that are the always same distance apart are perpendicular.

B. Two lines that are always the same distance apart are parallel.

C. Two lines that share common end point are always perpendicular.

D. Two lines that share common end point are always parallel.

Answers

Answer:

B

Step-by-step explanation:

(Meeting character limit)

Question 17 of 25
Solve |3x + 3| = 21.
A. C= –6 and x = 8
B. X = 6 and x = -8
C. X= -6 and x=-8
D. X= 6 and x = -
-6

Answers

Answer:

D. 1.25. 30 31 - 35. Convert the answer into a mixed number by dividing ... 8.7 6 5. 4.235. Subtract the two numbers. B. 4.235. 14) V81. 8) 0.2 * 0.3 * 0.4.

Step-by-step explanation:

The original price of a DVD is $12. The sale price is 75% off the original price. Find the sale price of the DVD.

Answers

Answer:

9 lol

Step-by-step explanation:

comming from a highscholer its 12% of 12 =9

hope this helps

10. Given m and b, write the equation of the line:
m= -4; b = 2

Answers

Answer:

y = -4x + 2

Step-by-step explanation:

A can of paint will cover 100 square feet. How many cans of paint will Hannah need to buy to paint all six surfaces of her room?​

Answers

Answer:

need to know the dimentions of the room

Step-by-step explanation:

What is the equation of the line that is perpendicular to line m and passes through the point (3, 2)?

Answers

Answer:

y = [tex]\frac{2}{5}[/tex] x + [tex]\frac{4}{5}[/tex]

Step-by-step explanation:

Calculate the slope of line m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 2, 2) and (x₂, y₂ ) = (0, - 3) ← 2 points on the line

m = [tex]\frac{-3-2}{0-(-2)}[/tex] = [tex]\frac{-5}{0+2}[/tex] = - [tex]\frac{5}{2}[/tex]

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-\frac{5}{2} }[/tex] = [tex]\frac{2}{5}[/tex] , then

y = [tex]\frac{2}{5}[/tex] x + c ← is the partial equation in slope- intercept form

To find c substitute (3, 2 ) into the partial equation

2 = [tex]\frac{6}{5}[/tex] + c ⇒ c = 2 - [tex]\frac{6}{5}[/tex] = [tex]\frac{4}{5}[/tex]

y = [tex]\frac{2}{5}[/tex] x + [tex]\frac{4}{5}[/tex] ← equation of perpendicular line

Use synthetic substitution to find p(3) for p(x)=x^3-2x^2-x+2

Answers

p(3)= 3^3 - 2(3)^2 - 3 +2
p(3)= 9 - 18 - 1
Answer: p(3)= -10

Answer:

p(3)= -10

Step-by-step explanation:

Olivia and her friends went to the movies with $45 to spend. She bought popcorn for $6.75 and paid
$9.25 for each movie ticket for her and her friends. What was the greatest number of movie tickets Olivia
could have bought?
A. 3
B. 4
C. 5
D. 6

Answers

the answer is 5 tickets

Answer:

5 tickets

Step-by-step explanation:

45 - 6.75 = 37.35

37.35 ÷ 4 = 9.3375

So, she still has enougg for one more ticket. 4 + 1 is 5. 5 tickets

Please help!
A rock is dropped down from the top of a​ 500-foot cliff. After 1​ second, the rock is traveling 32 feet per second. After 4 ​seconds, the rock is traveling 128 feet per second.

a. Assume that the relationship between​ time, t, and​ speed, s, is linear and write an equation describing this relationship. Use ordered pairs of the form​ (time, speed).

b. Use this equation to determine the speed of the rock 7 seconds after it is dropped.

Answers

Answer:

Part A:

The equation describing the relationship between speed and time is:

s = 32t

Ordered pairs of the form (speed, time) are:

(32, 1)

(64, 2)

(96, 3)

(128, 4)

Part B:

s = 32t

s = 32 * 5 = 160 feet per second

Step-by-step explanation:

1. Let's review the information provided to us to answer the question correctly:

Height of the cliff = 500 feet

Speed after one second = 32 feet per second

Speed after four seconds = 128 feet per second

2. Assume the relationship between time, t, and speed, s, is linear and write an equation describing the relationship. Use ordered pairs of the form (speed, time)

The equation describing the relationship between speed and time is:

s = 32t

Ordered pairs of the form (speed, time) are:

(32, 1)

(64, 2)

(96, 3)

(128, 4)

3.  Use the equation to determine the speed of the rock 5 seconds after is dropped.

s = 32t

s = 32 * 5 = 160 feet per second

Can someone help me please

Answers

Answer:

the equation is linear, the equation is y=9.8x

Step-by-step explanation:

If one of the roots of the equation x² – 4x + k = 0 exceeds the other by 2, then find the roots and determine the value of k.

Answers

Step-by-step explanation:

the solutions for a quadratic equation is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

a = 1

b = -4

c = k

x = (4 ± sqrt(16 - 4k))/2 = 2 ± sqrt(4 - k)

x1 = 2 + sqrt(4 - k)

x2 = 2 - sqrt (4 - k)

x1 = 2 + x2

2 + sqrt(4 - k) = 2 + 2 - sqrt(4 - k)

2×sqrt(4 - k) = 2

sqrt(4 - k) = 1

4 - k = 1

k = 4 - 1 = 3

x1 = 3

x2 = 1

Answer:

The roots are 1 and 3.

k = 3.

Step- by-step explanation:

We use the facts that if α and β are the roots of ax^2 + bx + c = o then α+ β = -b/a and  α β = c/a.

The roots are written as  α and α+2, then:

α + α + 2 = -(-4)

2α + 2 = 4

α + 1 = 2

α = 1

also

α (α + 2) = k

Substituting for α:

1(1 + 2) = k

k = 3.

The roots are 1 and 1 + 2 = 3.

Helpppp asapppppppppppppp 15 points

Answers

Answer:

Last one

Step-by-step explanation:

17 times 3 is 51

Answer:

is it the first one

Step-by-step explanation:

cause

51 divide by 3 is 17

solve for A and line AB

Answers

Answer:

a = 22

AB = 50

Step-by-step explanation:

[tex]a-5=17[/tex]

[tex]a=17+5[/tex]

[tex]a=22[/tex]

Line AB=2a+6

[tex]2(22)+6=44+6=50[/tex]

[tex]AB=50[/tex]

Hope this helps

Sara has a cell phone plan that charges $2 per minute for her long distance calls to Italy. She also has a pay a flat fee of $10 each month to have this plan, no matter how many minutes she talks on the phone. If Sara talks for 20 minutes long distance this month, how much money does she have to pay in total? Show work that supports your response.

Answers

Answer:

50

Step-by-step explanation:

she pays 10 in a flat fees and 2 dollars a minute so you multiply the 2 by 20 and add 10

Write as a monomial in standard form
(3x*3y)\x*y

Answers

[tex] \frac{3x \times 3y}{x \times y} \\ = \frac{(3 \times 3)xy}{xy} \\ = \frac{9xy}{xy} \\cancel \: \: \: out \: \: \: xy \: \: \: from \: \: \: both \: \: \: sides \\ = 9[/tex]

Answer:

9

Hope you could get an idea from here.

Doubt clarification - use comment section.

Malcolm took 18 minutes to do 15 math problems. Diedra took 17 minutes to do 16 math problems. Which student did more problems per minute?

Answers

The student that did more maths problems per minute is Diedra.

In order to determine which student did more maths problems per minute, the rate of each student has to be determined. Rate is the total questions solved divided by the time.

Rate = total questions / total time

Malcolm = 15 / 18 = 0.833 problems per minute

Diedra = 16/ 17 = 0.941 problems per minute

To learn more about rate, please check: brainly.com/question/9834403

May I please receive help?

Answers

Are you looking for a acute angle?

Answer:

Its right angel

Step-by-step explanation:

Sorry if m wrong

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