Robert earned £ 8500. He got a bonus of 5% at the end of the year.
a) Howmuchdidheearnintotal?
b) He paid 23% tax on his total earnings. How much did he have left after tax?

Answer:

3.6

Step-by-step explanation:

If I am incorrect in my reasoning, please let me know so that I can plan better for my future answers. Have an amazing day.

Since Angle XYZ equals 70 degrees, thus the sum of the Angle XYW and Angle WYZ equal 70 degrees

      Angle XYW + Ange WYZ = 70

         50 + (3x + 14) = 70

            3x + 14 = 20

              3x = 6

                 x = 2

Hope that helps!

Answer:

x = 2

Step-by-step explanation:

m<XYZ  = 70 and

m<XYZ = m<XYW + m<WYZ

So we can conclude 50 + 3x + 14 = 70 add like terms

64 + 3x = 70 subtract 64 from both sides

3x = 6 divide both sides by 3

x = 2

Answer:96+ a factor of 3

Step-by-step explanation:

48+48=96

1.5+1.5=3

Answer:

y=2.75x+3

Step-by-step explanation:

$2.75 per sandwich (coefficient)

Solid $3 fee (y-intercept)

y=mx+b ---> y=2.75x+3

Answer:

Step-by-step explanation:

The cup has 33.(66)% more liters than the jar.

The cup has more water than the jar.

The cup has 11/30 more liters of water than the jar.

Answer:

a) 188.4955592

b) 197.9203372

c) 1

Step-by-step explanation:

In this case to calculate the limit, you simply plug the x value of -2 into the function

[tex]y = \lim_{x \to \--2}( -3x^3+2x^2-4x+5) = 24 + 8+8+5 = 45\\[/tex]

So the limit equals 45.

Hope that helps!

Answer:

[tex]\displaystyle y = 45[/tex]

General Formulas and Concepts:
Calculus

Limits

Limit Rule [Variable Direct Substitution]:                                                                [tex]\displaystyle \lim_{x \to c} x = c[/tex]

Step-by-step explanation:

Step 1: Define

Identify.

[tex]\displaystyle y = \lim_{x \to -2} \big[ -3x^3 + 2x^2 - 4x + 5][/tex]

Step 2: Find Limit

∴ the limit as x approaches -2 of the given function -3x³ + 2x² - 4x + 5 is equal to 45.

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Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Limits

Answer:

v=72 in3

sa=104 in2

Step-by-step explanation:

hope this helps!

Answer:

She'll need 3 more hours to complete the project

Step-by-step explanation:

Because (3/4) × (4/3) = 1, you can multiply 9 by 4/3 to find the total amount of time needed for the project. You'll get a total time of 12 hours. To find how many more hours needed you would do 12 - 9 = 3 hours

Answer:

I think Rv = 37x but if you think not then Go with You're answer

Step-by-step explanation:

goodluck! :)

Answer:

8 x 60

Step-by-step explanation:

Hope it helps.

Answer: You simply need to match each fraction to where they belong

Step-by-step explanation:

Answer: n

Step-by-step explanation:

18/17 ≈1.058823529

The probability we consider factors that decide what engine is chosen and the odds of choosing an engine size greater than 3.9 L

An engine size greater than 3.9 L

Generally, This can be defined as the possibility of an event occurring with respect to other possible outcomes.

Probability looks at calculating the possibility of a given event's occurrence.

To determine the possibility of selecting an engine size greater than 3.9 L, we consider factors than decide what engine is chosen and the odds of choosing an engine size greater than 3.9 L

Hence, the probability we consider factors that decide what engine is chosen and the odds of choosing an engine size greater than 3.9 L

For more information on probability

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The time difference computed from the personal best given shows that Stan was 15 seconds faster.

From the information given, Stan had a personal best one mile run time of 6 minutes and 35 seconds. After his last run, his new personal best is 6 minutes and 20 seconds.

Therefore, the difference in time till be:

= 6.35 - 6.20

= 15 seconds.

Therefore, Stan was 15 seconds faster.

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Answer:

x = 12

Step-by-step explanation:

I am unable to decipher what "x = 9/36 x/48" means.

I'll assume that the question is to find a value of x such that:

   x/48 = 9/36

If so, cross multiply:

  36x = (48*9)

 36x =  432

  x = 12

The water is flowing into the pool at 1.5 gallons per minute and it would take 20 minutes to be filled.

An equation is used to show the relationship between two or more numbers and variables.

The pool holds 30 gallons of water. After 5 minutes, the pool is about one fourth full. Hence:

Time to full the pool = 5 minutes * 4 = 20 minutes

Rate of water flow = 30 gallons/20 minutes = 1.5 gallons per minute

The water is flowing into the pool at 1.5 gallons per minute and it would take 20 minutes to be filled.

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Solution (5):

Simplifying the expression.

Solution (6):

Simplifying the expression.

Solution (7):

Simplifying the expression.

Solution (8):

Simplifying the expression.

[tex]\qquad \qquad\huge \underline{\boxed{\sf Answer}}[/tex]

Let's solve ~

[tex]\qquad \sf  \dashrightarrow \: (8x + 1) + ( - x + 7)[/tex]

[tex]\qquad \sf  \dashrightarrow \: 8x + 1 - x + 7[/tex]

[tex]\qquad \sf  \dashrightarrow \: 8x - x + 1 + 7[/tex]

[tex]\qquad \sf  \dashrightarrow \: 7x + 8[/tex]

[tex]\qquad \sf  \dashrightarrow \: (8x - 3) - (3 x + 1)[/tex]

[tex]\qquad \sf  \dashrightarrow \: 8x - 3 - 3x - 1[/tex]

[tex]\qquad \sf  \dashrightarrow \: 8x - 3x - 3 - 1[/tex]

[tex]\qquad \sf  \dashrightarrow \: 5x - 4[/tex]

[tex]\qquad \sf  \dashrightarrow \: (2x + 7) + (4x - 10)[/tex]

[tex]\qquad \sf  \dashrightarrow \: 2x + 7 + 4x - 10[/tex]

[tex]\qquad \sf  \dashrightarrow \: 2x + 4x + 7 - 10[/tex]

[tex]\qquad \sf  \dashrightarrow \: 6x - 3[/tex]

[tex]\qquad \sf  \dashrightarrow \: (- 7x + 2) - (3x - 3)[/tex]

[tex]\qquad \sf  \dashrightarrow \: - 7x + 2 - 3x + 3[/tex]

[tex]\qquad \sf  \dashrightarrow \: - 7x - 3x + 2 + 3[/tex]

[tex]\qquad \sf  \dashrightarrow \: - 10x + 5[/tex]

Answer:

12m,

Step-by-step explanation:

Answer:

153.86

Step-by-step explanation:

Area = Pi*R^2

Or

3.14xRadiusx Radius= Area

so 3.14*7*7=153.86

If this helps can I get Brainliest pls.

Answer:

A =33 units^2

Step-by-step explanation:

The area of a rectangle is found by

A = l*w  where l is the length and w is the width

A = 5.5* 6

A =33 units^2

Answer:

Step-by-step explanation:

[tex]S_{n}=\dfrac{n}{2}(2a + (n-1)*d)[/tex]

Here, n- number of terms ; d - common difference ;  a - first term

[tex]S_{8}=12\\\\\dfrac{8}{2}[2a+(8-1)*d]=12\\\\4[2a+7d]=12\\\\2a + 7d = \dfrac{12}{4}\\\\\\2a + 7d = 3 \ -----------------------(i)[/tex]

[tex]S_{16}=56\\\\\dfrac{16}{2}(2a+15d)=56\\\\\\8(2a+15d)=56\\\\2a + 15d=\dfrac{56}{8}\\\\\\[/tex]

2a + 15d = 7 ----------------(ii)

Subtract (i) from equation (ii)

(ii)         2a + 15d = 7

(i)          2a +   7d = 3  

           -      -          -  

                       8d = 4

                          d = 4/8

d = 1/2

Plugin d = 1/2 in equation (i)

[tex]2a +7*\dfrac{1}{2}=3\\\\\\2a = 3 -\dfrac{7}{2}\\\\\\2a =\dfrac{6}{2}-\dfrac{7}{2}\\\\\\2a=\dfrac{-1}{2}\\\\\\a=\dfrac{-1}{2*2}\\\\\\a=\dfrac{-1}{4}[/tex]

Second term =  first term + d

                      [tex]=\dfrac{-1}{4}+\dfrac{1}{2}=\dfrac{-1}{4}+\dfrac{2}{4}=\dfrac{1}{4}[/tex]

[tex]Third \ term =\dfrac{1}{4}+\dfrac{1}{2}=\dfrac{1}{4}+\dfrac{2}{4}=\dfrac{3}{4}\\\\\\Fourth \ term =\dfrac{3}{4}+\dfrac{1}{2}=\dfrac{3}{4}+\dfrac{2}{4}=\dfrac{5}{4}\\\\[/tex]

AP is :

[tex]\dfrac{-1}{4}; \dfrac{1}{4};\dfrac{3}{4};\dfrac{5}{4}.......[/tex]

The rate of decay r is -0.139.

A function has an input and an output.

A function can be one-to-one or onto one.

It simply indicated the relationships between the input and the output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

The exponential function [tex]y = 3.31(0.87)^x[/tex] can be written in the form

[tex]y = ab^x,[/tex]

where a = 3.31 and b = 0.87.

The formula for the rate of decay for an exponential function in the form

[tex]y = ab^x[/tex]is r = ln(b)

where ln is the natural logarithm.

In this case,

r = ln(0.87) ≈ - 0.139.

Since r represents the rate of decay as a decimal, the answer is r = - 0.139.

Thus,

The rate of decay r is - 0.139.

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Answer:

∞

Step-by-step explanation:

I assume you meant 3×10 + 3456/3629 + 2341×123 + 123 ∞×90 and x is multiplication and not a variable.

Answer:

3.374

Step-by-step explanation:

[tex]\mathrm{Write\:the\:numbers\:one\:under\:the\:other,\:line\:up\:the\:decimal\:points.}[/tex]

[tex]\mathrm{Add\:trailing\:zeroes\:so\:the\:numbers\:have\:the\:same\:length.}[/tex]

[tex]\begin{matrix}\:\:&5&.&3&1&6\\ -&1&.&9&4&2\end{matrix}[/tex]

[tex]\mathrm{Subtract\:each\:column\:of\:digits,\:starting\:from\:the\:right\:and\:working\:left}[/tex]

[tex]\mathrm{In\:the\:bolded\:column,\:subtract\:the\:second\:digit\:from\:the\:first}:\quad \:6-2=4\\[/tex]

[tex]\frac{\begin{matrix}\:\:&5&.&3&1&\textbf{6}\\ -&1&.&9&4&\textbf{2}\end{matrix}}{\begin{matrix}\:\:&\:\:&\:\:&\:\:&\:\:&\textbf{4}\end{matrix}}[/tex]

[tex]\frac{\begin{matrix}\:\:&5&.&3&\textbf{1}&6\\ -&1&.&9&\textbf{4}&2\end{matrix}}{\begin{matrix}\:\:&\:\:&\:\:&\:\:&\textbf{\:\:}&4\end{matrix}}[/tex]

[tex]\frac{\begin{matrix}\:\:&5&.&\textbf{3}&1&6\\ -&1&.&\textbf{9}&4&2\end{matrix}}{\begin{matrix}\:\:&\:\:&\:\:&\textbf{\:\:}&\:\:&4\end{matrix}}[/tex]

[tex]\frac{\begin{matrix}\:\:&\textbf{4}&\:\:&10&\:\:&\:\:\\ \:\:&\textbf{\linethrough{5}}&.&3&1&6\\ -&\textbf{1}&.&9&4&2\end{matrix}}{\begin{matrix}\:\:&\textbf{\:\:}&\:\:&\:\:&\:\:&4\end{matrix}}\\[/tex]

[tex]\frac{\begin{matrix}\:\:&4&\:\:&\textbf{13}&\:\:&\:\:\\ \:\:&\linethrough{5}&.&\textbf{\linethrough{3}}&1&6\\ -&1&.&\textbf{9}&4&2\end{matrix}}{\begin{matrix}\:\:&\:\:&\:\:&\textbf{\:\:}&\:\:&4\end{matrix}}[/tex]

[tex]\frac{\begin{matrix}\:\:&4&\:\:&\textbf{12}&10&\:\:\\ \:\:&\linethrough{5}&.&\textbf{\linethrough{13}}&1&6\\ -&1&.&\textbf{9}&4&2\end{matrix}}{\begin{matrix}\:\:&\:\:&\:\:&\textbf{\:\:}&\:\:&4\end{matrix}}[/tex]

[tex]\frac{\begin{matrix}\:\:&4&\:\:&12&\textbf{11}&\:\:\\ \:\:&\linethrough{5}&.&\linethrough{13}&\textbf{\linethrough{1}}&6\\ -&1&.&9&\textbf{4}&2\end{matrix}}{\begin{matrix}\:\:&\:\:&\:\:&\:\:&\textbf{\:\:}&4\end{matrix}}[/tex]

[tex]\frac{\begin{matrix}\:\:&4&\:\:&12&\textbf{11}&\:\:\\ \:\:&\linethrough{5}&.&\linethrough{13}&\textbf{\linethrough{1}}&6\\ -&1&.&9&\textbf{4}&2\end{matrix}}{\begin{matrix}\:\:&\:\:&\:\:&\:\:&\textbf{7}&4\end{matrix}}[/tex]

[tex]\frac{\begin{matrix}\:\:&4&\:\:&\textbf{12}&11&\:\:\\ \:\:&\linethrough{5}&.&\textbf{\linethrough{13}}&\linethrough{1}&6\\ -&1&.&\textbf{9}&4&2\end{matrix}}{\begin{matrix}\:\:&\:\:&\:\:&\textbf{3}&7&4\end{matrix}}[/tex]

[tex]\frac{\begin{matrix}\:\:&4&\textbf{\:\:}&12&11&\:\:\\ \:\:&\linethrough{5}&\textbf{.}&\linethrough{13}&\linethrough{1}&6\\ -&1&\textbf{.}&9&4&2\end{matrix}}{\begin{matrix}\:\:&\:\:&\textbf{.}&3&7&4\end{matrix}}[/tex]

[tex]\frac{\begin{matrix}\:\:&\textbf{4}&\:\:&12&11&\:\:\\ \:\:&\textbf{\linethrough{5}}&.&\linethrough{13}&\linethrough{1}&6\\ -&\textbf{1}&.&9&4&2\end{matrix}}{\begin{matrix}\:\:&\textbf{3}&.&3&7&4\end{matrix}}[/tex]

=3.374

Answer:

10.429% exceed

Step-by-step explanation:

expected:

150x [100+40]/100=210 parents were expected on first night

210x60/100=126 parents expected on the second night

210+126=326 expected

percentage difference=

210+150=360

360/326 x 100=110,429%

110,429%-100%=10,429% exceed