Mathematics High School

a shop made a profit of £23500 in 2009. in 2010 the profit increased to £28000.work out the percentage increase in profit, to the nearest 1%

Answers

Answer 1
well, the increase is just £28000 - £23500, or £4500.

now, if we take 23500 to be the 100%, what is 4500 off of it in percentage?

[tex]\bf \begin{array}{ccll} amount&\%\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 23500&100\\ 4500&p \end{array}\implies \cfrac{23500}{4500}=\cfrac{100}{p}\implies p=\cfrac{4500\cdot 100}{23500}[/tex]

Related Questions

PLEASE HELP NOWWWWWWWW 20 POINTS PLEASE HELP
Using the transformation T: (x, y) (x + 2, y + 1). Find the distance named.

Find the distance CA (the answer must be in the square root form)

Answers

Answer:  The length of AC  is:  " 2√2 units " . 
____________________________________________________
Explanation:
____________________________________________________
Note:   (not to scale):
____________________________________________________
     
     C
      |    \
      |      \ 
2   |         \   "c"   
     |--         \
     |              \ 
     |_|______\ A
    •        2
(point    
–at which
right angle forms)
_______________________________________________________
Use the "Pythagorean theorem"  (since this is a right triangle) to solve for the length of AC — which  is represented by "c" :

  a²  +  b²  =  c² ;

↔  c²  =  a² + b² ;  Solve for "c" ;

Given:  "a = 2 ;  b = 2 " ;

→   c²  =  2² + 2²

→   c²  =  4 + 4 ;

→   c²  = 8 ; 

Take the "positive square root" of each side of the equation;
     to isolate "c" on one side of the equation; & to solve for "c" ; 

→  √(c²) = √8 ; 

→ c = √8 ; 

→  √8 = √4 * √2 = 2√2 .
_____________________________________________________
Answer:  The length of AC  is:  " 2√2 units " . 
_____________________________________________________

Roger has a nail that is 12 centimeters long. He measures and records the length of the nail as 15 centimeters. What is thepercent error in Roger's measurement?

Answers

15-12 = 3
3/12 = 0.25

0.25 = 25% error
the percent error is 25% Sorry for not showing mu work but I remember it was 25% I hope that's help !

What is the length of AB? Enter your answer In the box, round only your final answer to the nearest tenth.

Answers

Side c = 18 
Angle B = 79°
Side a = 12
AB = side b
Use the Law of Cosines to find the length of side b. 
b^2 = a^2 + c^2 − 2ac cos(B) 
b^2 = (122 + 182) − ( 2 x 12 x 18) cos(79°) 
b^2 = (144 + 324) − 432 x 0.191 
b^2 = 468 - 432 x 0.191 
b^2 = 468 - 82.429 
b^2 = 385.571 
b = √385.571 
b = 19.636

Rounded to the nearest tenth is 19.6 cm.

Hope this helps!

Which of the following expressions shows the number of 8 character passwords that can be formed using letters and digits if the password must begin with a letter?

Answers

Answer: 26 x 36 x 36 x 36 x 36 x 36 x 36 x 36 
You may also see it written as 26 x (36)^7

To understand this expression, you must first know that they are 26 letters and 10 digits (1 through 9 and zero).

Now, to find the total number of possibilities, you simply multiply all of the options for each position in the password.

First, we must have a letter, so there are 26 options. Then, for the remaining 7 places, there are 36 options (26 letters and 10 digits).

The expression is 26x36 to the 7th power if the number of 8-character passwords.

What is permutation and combination?

A permutation is the number of different ways a set can be organized; order matters in permutations, but not in combinations.

It is given that:

The number of 8-character passwords that can be formed using letters and digits if the password must begin with a letter.

From the condition given:

= 26 x (36)⁶

Thus, the expression is 26x36 to the 7th power if the number of 8-character passwords.

a. 21x36 to the 7th power

b.26x36 to the 7th power

c.26 to the 5th power x 10 to the 3rd

d.36 to the 8th power

Learn more about permutation and combination here:

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What is the measure of the missing angle in the figure below?

A. 82
B. 81
C. 80
D. 79

Answers

it is b even though you posted this 2 days ago

Answer:  The correct option is (B) 81°.

Step-by-step explanation:  We are given to find the measure of the missing angle of the quadrilateral shown in the figure.

The measures of three angles of the quadrilateral are 65°, 78° and 136°.

To find the value of x, the measure of the fourth angle.

We know that

the sum of the measures of four angles of a quadrilateral is 360°. so, we must have

[tex]65^\circ+78^\circ+136^\circ+x=360^\circ\\\\\Rightarrow 279^\circ+x=360^\circ\\\\\Rightarrow x=360^\circ-279^\circ\\\\\Rightarrow x=81^\circ.[/tex]

Thus, the measure of the missing angle is 81°.

Option (B) is CORRECT.

8b^2-7b-1=(8b+1)() Find The Missing Factor

Answers

I believe the answer is  (b - 1) • (8b - 1)
Hello there!
Move all terms to the left side and set equal to zero. Then set each factor equal to zero.
[tex]b=2, - \frac{1}{8} [/tex]

Hope this helps! :)
~Zain

Does anyone know the answer?

Answers

here is your answer for the question

For which data representation is the median the better measure of center

Answers

we know that
The Median is the "middle" of a sorted list of numbers.
To find the Median, place the numbers in value order and find the middle

case a) the data is 
3,8,4,8,3
place the numbers in value order-----> 3,3,4,8,8

the middle is 4
so
the median is 4


case b) the data is 
2,2,3,5,5
place the numbers in value order-----> 2,2,3,5,5  

the middle is 3
so
the median is 3

case c) the data is 
6,2,6,2,6
place the numbers in value order-----> 2,2,6,6,6

the middle is 6
so
the median is 6

case d) the data is 
1,3,4,3,1
place the numbers in value order----->1,1,3,3,4

the middle is 3
so
the median is 3


we know that
The Mean is most often chosen when the data is continuous and symmetrical (normal). ------> case a) case c) and case d) If the data has outliers or is skewed, then the mean would paint a skewed view of centrality

The Median is especially useful with skewed distributions as it draws the line right in the middle of your data set------> case b)

therefore

the answer is
case b) 

Answer with explanation:

Mean is sum of all the observation divided by total number of observation, where as median is middlemost observation of the data set, while mode is most occurring variate or data value in the data set.

1. Variate or Data set which is represented in Histogram is

 3,8,4,8,3

Arranging it in ascending order, we get

3,3,4,8,8

Data is skewed right.So, Mean >Median>Mode

Mean =5.2

Number of observation is 5. So,Median will be Middle term,that is third term equal to 4.

Mode =3 or ,8 which will be equal to 3,as data is skewed right.

→Mean gives better representation of data set,because, 5.2-3=2.2 and, 8-5.2=2.8

2. Variate or Data set which is represented through dots is

 2, 2, 3,5,5

Arranging it in ascending order, we get

2,2,3,5,5

Data is skewed right.So, Mean >Median>Mode

Mean=3.4

Number of observation is 5. So,Median will be Middle term,that is third term equal to 3.

Mode =2 or 5 which will be equal to 2,as data is skewed right.

→Mean gives better representation of data set,because, 3.4-2=1.4 and, 5-3.4=1.6

3. Variate or Data set which is represented in Histogram is

 6,2,6,2,6

Arranging it in ascending order, we get

2,2,6,6,6

Data is skewed left.So, Mean <Median<Mode

Mean=4.4

Number of observation is 5. So,Median will be Middle term,that is third term equal to 6.

Mode =6

→Mode gives better representation of data set.

4.Variate or Data set which is represented through dots is

 1,3,4,3,1

Arranging it in ascending order, we get

1,1,3,3,4

Data is skewed left.So, Mean <Median<Mode

Mean=2.4

Number of observation is 5. So,Median will be Middle term,that is third term equal to 3.

Mode =1 or 3,data is skewed left,so mode =3

Here, in this data set, both mode and median are better measure of center than Mean,as there are two modes in the data set, so choosing median as measure of center,because data is skewed left,

For ,Option 4: Median is the better measure of center.

John wants to buy a new bike that cost 337 and he already has saved 103. Estimate to find about how much more John needs to save to buy the bike

Answers

We can round numbers to estimate.

337 is approximately 340.
103 is approximately 100.

340 - 100 = 240

John needs to save around $240 more in order to be able to afford the bike.

Hope this helps!

Find the exact value of sin(x+y) when sinx=-1/4 and cosy=-3/5 in q2

Answers

sin (x + y) = sin x cos y + sin y cos x

sin y = -4/5  and cos x = -sqrt255

so sin(x + y) =  -1/4 * -3/5 + -4/5 * sqrt255
                    = 3/20 - 4 sqrt255/5
                    = (3 - 16 sqrt255) / 20   answer 

Does anybody have a proper answer?

Answers

Hello,

x=18

Radius=√(7²+9²)=√130

(2*√130)²=x²+14²==>x²=√324=18

What is the value of h when the function is converted to vertex form?

Note: Vertex form is p(x)=a(x−h)^2+k .
p(x)=x^2−14x+29

H = ___

Answers

h=7.

To convert to vertex form, we complete the square.  This means we move the constant, c, to the other side.

y=x²-14x+29
y-29 = x²-14x+29-29
y-29=x²-14x

To find the number that we then add to both sides, we look at the value of b (coefficient of x).  We take half of that number; -14/2 = -7.  Then we square it; (-7)²=49.  This means we add 49 to both sides:

y-29+49=x²-14x+49

Now we combine like terms on the left:
y+20=x²-14x+49

Write the right hand side as a square:
y+20 = (x-7)²

Now move the 20 on the left back to the right by subtracting it from both sides:
y+20-20=(x-7)²-20
y=(x-7)²-20

The value of h is 7.

Write log4 14 as a logarithm of base 3.

1) (log4)3/(log14)3
2) (log14)3/(log4)3
3) (log3)4/(log3)14
4) (log3)14/(log3)4,

Answers

The change-of-base formula for logarithms is:
loga (b) = [logc (b)] / [logc (a)]

where:
a = original base
b = original argument
c = new base

Hence,
log4 (14) = log3 (14) / log3 (4)

Therefore the correct answer is D.

Final answer:

To convert log4 14 to a logarithm of base 3, you can use the change of base formula. The required conversion would be log3 14 divided by log3 4.

Explanation:

To write log4 14 as a logarithm of base 3, we would use the change of base formula. The change of base formula is logba = logca / logcb, where logba is the logarithm we want to convert, c is the new base, a is the number, and b is the original base. So, in this case, we want to write log4 14 as a logarithm of base 3, so using the formula, it would be (log3 14) / (log3 4).

Learn more about Change of Base Formula here:

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A waiter earned $69.81 on a shift, and then bought himself a discounted meal for $4.75. How much did he have left over, to the nearest dollar?

Answers

$65.00
$65.06 rounded to the nearest dollar is $65.00
He has $65.06 left over.

What is the following quotient? 2- sqrt 8 / 4 + sqrt 12

Answers

C is the answer.

We multiply the top and bottom of this by the conjugate (switch the sign of the square root):

(2-sqrt8)(4-sqrt12)/(4+sqrt12)(4-sqrt12)

Multiying the top we have
8-2sqrt12-4sqrt8+sqrt(8×12)

Multiplying the bottom we have:
16-4sqrt12+4sqrt12-12

On top, we simplify the radicals and get
8-4sqrt3-8sqrt2+4sqrt6

On bottom, we have
16-12=4

Now we divide everything on top by 4 and get
2-sqrt3-2sqrt2+sqrt6

we have

[tex]\frac{2-\sqrt{8}}{4+\sqrt{12}}[/tex]

Multiply the numerator and denominator by the conjugate of the denominator

so

[tex]\frac{2-\sqrt{8}}{4+\sqrt{12}}*\frac{4-\sqrt{12}}{4-\sqrt{12}}=\frac{(2-\sqrt{8})(4-\sqrt{12)}}{4^{2}-(\sqrt{12})^{2}}\\ \\= \frac{2*4-2*\sqrt{12}-4*\sqrt{8}+\sqrt{12}*\sqrt{8}}{16-12}\\ \\=\frac{8-4\sqrt{3}-8\sqrt{2}+4\sqrt{6}}{4} \\ \\=2-\sqrt{3}-2\sqrt{2}+\sqrt{6}[/tex]

therefore

the answer is

[tex]2-\sqrt{3}-2\sqrt{2}+\sqrt{6}[/tex]

The given measurements may or may not determine a triangle. If not, then state that no triangle is formed. If a triangle is formed, then use the Law of Sines to solve the triangle, if it is possible, or state that the Law of Sines cannot be used. B = 137°, c = 6, b = 11

Answers

If you're going to use technology (Brainly), you may as well use appropriate technology (a triangle solver). Many graphing calculators have this function built in.

a ≈ 5.82
A ≈ 21.2°
C ≈ 21.8°

Since the longest side (b) is opposite the given angle (B), the triangle has one solution.
.. C = arcsin(6/11*sin(137°))
.. A = 180° -137° -C
.. a = sin(A)*11/sin(137°)
Final answer:

The measurements given can form a triangle, and to solve it, we would use the Law of Sines. After confirming the possibility of a triangle, we solve for the unknown angle C using the known values and compute the remaining angle and side.

Explanation:

To determine if a triangle is formed by the given measurements and solve it using the Law of Sines, we need to check if the given angle and sides satisfy the triangle inequality. The measurements given are angle B = 137°, side c = 6, and side b = 11. A triangle is possible if the sum of the two smallest sides is greater than the length of the longest side. Here the angle is very large, suggesting that the opposite side (b) must be the longest; however, since side b is indeed longer than side c, this condition is satisfied, so a triangle can be formed.

To solve the triangle using the Law of Sines, we set up the following ratio:

    b/sin(B) = c/sin(C)

After substituting the known values into the equation, we get:

    11/sin(137°) = 6/sin(C)

Now, we solve for sin(C) to find the angle C, and subsequently use the sum of angles in a triangle (180°) to find the remaining angle A. Once angle A is known, we can use the Law of Sines again to find the remaining side a. If at any point we find that the calculation results in an invalid sine value (greater than 1 or less than -1), we must then state that no real solution exists.

It is important to note that if we find angle C to be obtuse (greater than 90°), the triangle will not have a unique solution because it would contradict our initial assumption that angle B, being the largest given angle, is opposite the longest side.

How to solve this question ? use appropriate metric prefix to write the following measurment without use exponents?
2.3x10^-10 L
4.7x10^-6 g
1.85x10^-12 m
16.7x10^6 s,

Answers

-12 = pico(p) So 10^-12 L = 1 pL Use following to find the count of 10^-12 L are there in 2.3×10^-10 L 2.3×10^-10 / (10^-12) = 2.3×10^2 = 230 pL -6 = micro (µ) 4.7×10^-6 g = 4.7 µg 1.85×10^-12 m = 1.85 pm 6 = Mega (M) 16.7×10^6 s = 16.7 Ms So the answer is 16.7 Ms

Brainliest for best answer!

Answers

the answer to your question is A length =18 cm; width=5 cm

The sum of 555 consecutive integers is 505505505. What is the third number in this sequence?

Answers

the correct question is
The sum of 5 consecutive integers is 505. What is the third number in this sequence?

Let
x-----------> first integer
x+1-----------> second integer
x+2-----------> third integer
x+3-----------> fourth integer
x+4-----------> fifth integer

we know that
x+(x+1)+(x+2)+(x+3)+(x+4)=505
then
5x+10=505----------> x=(505-10)/5---------> x=99

therefore
the third integer is (x+2)------> 99+2=101

the answer is 101




Answer: The answer is 101!

Step-by-step explanation:

Call the first number in the sequence x

The next integer in the sequence is x + 1

The sum of the 5 consecutive integers is:

x+ (x + 1)+ (x + 2)+ (x + 3)+ (x + 4) = 505

5x + 10= 505

5x = 495

x = 99

Since x is the first number, x + 2 is the third integer.

Thus, the third number in the sequence is 101

If you are dealt 44 cards from a shuffled deck of 52​ cards, find the probability of getting oneone queenqueen and threethree kingskings.

Answers

There are 4 queens and 4 kings in a standard deck, and we don't seem to care about the order in which these particular cards are drawn. So the probability is

[tex]\dfrac{\binom41\binom43}{\binom{52}4}=\dfrac{24}{270,275}[/tex]

What is the range of the function f(x) = |x − 1| − 2?all real numbersall real numbers less than or equal to −2all real numbers less than or equal to 1all real numbers greater than or equal to −2?

Answers

The minimum value of the function is -2, so the range is
.. all real numbers greater than or equal to -2 . . . . the last selection
Final answer:

The range of the function f(x) = |x - 1| - 2 is all real numbers greater than or equal to -2.

Explanation:

The function f(x) = |x - 1| - 2 represents the absolute value of x minus 1, subtracted by 2.

The range of the function can be determined by finding the minimum and maximum values it can take.

Since the absolute value of a number is always greater than or equal to zero, the lowest value that f(x) can take is when |x - 1| = 0, which happens when x = 1.

Therefore, the minimum value of f(x) is -2.

As x increases or decreases from 1, the value of f(x) increases.

So, there is no upper bound for the range of f(x).

Therefore, the range of the function is all real numbers greater than or equal to -2.

Sally buys a hand bag. there was a discount of 23%. If sally paid $20.02, what was the original price?

Answers

100-23 = 77%

20.02 / 0.77 = 26.00

original price was $26

What fraction of 1 gallon is 5 cups

Answers

There are 16 cups in a gallon therefore 5/16 is the fraction

The segment image is drawn from F(2, 9) to H(10, 1) with point G on the segment. What coordinates for point G will divide image so that is imageis 3:5?

Answers

Answer: The point (5, 6) would divide the line segment so it is in the ratio of 3:5.

If the ratio of the line segment needs to be 3:5, that means the point will be at the 3/8 distance mark of the line segment. Because there are 8 total parts if the ratio is 3:5 (3 + 5 = 8).

The slope from (2, 9) to (10, 1) is -8/8. So our point would only move 3/8 of that distance. If we multiply -8 and 8 by 3/8, we have -3 and 3.

That means our point must fall 3 and move to the 3 spaces from our starting point of (2, 9). That will put us at (5, 6).

When calculating total savings, you must ____. (1 point)
A. calculate the total cost of the item when not on sale and subtract the sales cost.
B. calculate the total cost of the items at their sale price.
C. add all of the items together and divide by the total number of items.
D. calculate the total cost of the items at their sale price and subtract the original cost.

Answers

When calculating total savings, you must calculate the total cost of the item when not on sale and subtract the sales cost. The answer is A. This is the most effective way to calculate total savings on an item.

easy math problem 5pts

Answers

The HL theorem applies.

NM and OP are the hypotenuses, given to be congruent.
Angles at H are right angles.
Sides HM and HP are congruent because MHP is isosceles. You have the hypotenuse and one leg of a right triangle congruent, which is the premise for the HL theorem.

A= 48 degrees what is C

Answers

Hey there!

Angle C is 77 degrees.

Hope this helped, have a good night!

The value of x must be greater than _____.

Answers

The answer is : The value of X must be greater then 5
The sum of any two sides of a triangle must be greater than the third. Therefore, x can be greater than or equal to 4.

What is the slope of a line perpendicular to the line with equation y = 4x + 5?

Answers

Hello!

The thing to know what solving problems like these is that slopes of perpendicular lines are opposite reciprocals of each other.

For example, if you are given that the slope of a line is 6, and are told to find the slope of a line perpendicular to it, you would flip the 6/1 to 1/6 and negate it. The slope of a line perpendicular to a line with a slope of 6 is -1/6.

Here, you have an equation of a line in slope-intercept form. Slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.
In y = 4x + 5, 4 is m, thus 4 is the slope.

The opposite reciprocal of 4 is -1/4.

Answer:
-1/4

The slope of a line perpendicular to the line with equation y = 4x + 5 will be, [tex]-\frac{1}{4}[/tex].

What is a slope of a straight line?

A straight line is a combination of endless points joined on both sides of the point.

[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]

The slope 'm' of any straight line is given by:

The given equation in the problem is;

y = 4x + 5

The slope of the given equation is found from the standard equation of the straight line as;

y=mx+c

On comparing, we get, m = 4.

The perpendicular line slopes are reciprocals with the negative sign of each other.

Hence, the slope of a line perpendicular to the line with equation y = 4x + 5 will be, [tex]-\frac{1}{4}[/tex]

Learn more about the slope of the straight line refer;

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A small combination lock on a suitcase has 6 wheels, each labeled with the 10 digits 0 to 9.
How many digit combinations are possible if no digit is repeated? If digits can be repeated? If successive digits must be different?,

Answers

i have no clue but im going off a limb and say 56878

There will be, 590490 possible combinations.

What is combination?

The number of different groups which can be formed from the available things can be calculated using combinations.

Given that, A small combination lock on a suitcase has 6 wheels, each labelled with the 10 digits 0 to 9.

We have 10 for the first wheel, but second wheel only has 9 options because 2nd number can't be the same as first. The third and fourth wheels also has 9 options for the same reason.

10x9x9x9x9x9 = 590490 combinations

Hence, There will be, 590490 possible combinations.

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