Sue invests £9000 in an account for one year.
At the end of the year, interest is added to her account.
Sue pays tax on this interest at a rate of 20%
She pays £30.24 tax.
Work out the percentage interest rate for the account.

Answer:

Equation:  19^2 - 11^2 = width

Step-by-step explanation:

use Pythagorean theorem to find the width.

so, 19^2 - 11^2 = 361-121= 240.

so width = square root of 240

Answer:

19^2 - 11^2 = width

Step-by-step explanation:

The number of ways can the teacher assign out is 75.

Given that,

Based on the above information, the calculation is as follows:

[tex]= 15\times 5[/tex]

= 75

Therefore we can conclude that The number of ways can the teacher assign out is 75.

Learn more: brainly.com/question/17429689

Answer:

7

Step-by-step explanation:

Using the exact values for

cos45° = [tex]\frac{1}{\sqrt{2} }[/tex] and tan60° = [tex]\sqrt{3}[/tex] , then

2(cos²45° + tan²60°)

= 2( ([tex]\frac{1}{\sqrt{2} }[/tex] )² + ([tex]\sqrt{3}[/tex] )² )

= 2( [tex]\frac{1}{2}[/tex] + 3 )  ← distribute

= 1 + 6

= 7

Answer:

4 days

Step-by-step explanation:

there are 8 pints in a gallon

Answer:

4 days.

please see the attached picture for full solution solution.

hope it helps

good luck on your assignment

Answer:

[tex] \boxed{x = p(m - n)} [/tex]

Step-by-step explanation:

[tex] = > m = n + \frac{x}{p} \\ \\ = > m = (n \times \frac{p}{p} ) + \frac{x}{p} \\ \\ = > m = \frac{pn}{p} + \frac{x}{p} \\ \\ = > m = \frac{pn + x}{p} \\ \\ = > mp = pn + x \\ \\ = > x + pn = pm \\ \\ = > x = pm - pn \\ \\ = > x = p(m - n)[/tex]

Answer:

27

Step-by-step explanation:

Answer: x = 9, y = 3

Step-by-step explanation:

9 - 2(3) = 3

9 - 6 = 3

2(9) - 3(3) = 9

18 - 9 = 9

Answer:

x=9, y= 3

Step-by-step explanation:

x-2y=3

2x-3y=9

Multiply the first equation by -2

-2x +4y = -6

Add this to the second equation

-2x +4y = -6

2x-3y=9

------------------

   y = 3

Now find x

x -2y =3

x -2(3) = 3

x-6 = 3

Add 6 to each side

x = 9

Answer: x= 6

Step-by-step explanation:

2 +x + 1 = 2x -3

 1x + 3 = 2x -3

       +3          +3

1x + 6 =2x

-1x          -1x

  6= 1x

x= 6

Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.

We have,

Charlotte has been working for her company for x years.

Travis has been working for the same company exactly 3 years longer than Charlotte.

This means that Travis have 3 years extra than Charlotte.

So, the range of the relationship is

y>3.

Learn more about Inequality here:

https://brainly.com/question/30231190

#SPJ7

Answer:

58 / (24 + 58) = 29/41

Step-by-step explanation:

Answer:

[tex] \boxed{\sf - 2 {p}^{2} - 11p - 35} [/tex]

Step-by-step explanation:

[tex] \sf \implies - 2 {(p + 4)}^{2} - 3 + 5p \\ \\ \sf \implies - 2( {p}^{2} + 2(p)(4) + {4}^{2} ) - 3 + 5p \\ \\ \sf \implies - 2( {p}^{2} + 8p + 16) - 3 + 5p \\ \\ \sf \implies (( - 2) \times {p}^{2} ) + (( - 2) \times 8p) + ( ( - 2) \times 16) - 3 + 5p \\ \\ \sf \implies (- 2 {p}^{2} ) + ( - 16p ) + (- 32) - 3 + 5p \\ \\ \sf \implies - 2 {p}^{2} - 16p - 32 - 3 + 5p \\ \\ \sf \implies - 2 {p}^{2} + (- 16p + 5p) + ( - 32 - 3) \\ \\ \sf \implies - 2 {p}^{2} - 11p - 35[/tex]

Answer:

126 points :D

Step-by-step explanation:

Quick answer 126

You already have what "c" is so all you have to do it plug it in. If something says 3c or any number and any letter all you have to do is times the number by whatever that letter is so if c is 41 then 3c+3 would be 3 x 41 + 3.

[tex]the \: answer \: is \: 24 \\ please \: see \: the \: attached \: picture \: for \: full \: solution \\ hope \: it \: helps[/tex]

Answer: 4 units

Step-by-step explanation:

The side that is opposite of B would be the side that is across from B

3 is across from A

5 is across from C

4 is across from B

The question is an illustration of right triangles

The length of the side opposite angle B is 4 units

From the figure, we can see that the triangle is a right triangle, with the following angles

Angle B

Angle A

Angle C

The triangle is right-angled at angle C.

From the figure, the length opposite angle B is length AC.

Where

AC = 4

Hence, the length of the side opposite angle B is 4 units

Read more about isosceles right triangle at:

https://brainly.com/question/20447308

Answer:

2 wholes with 4 fourths in each whole, so there are 2\times 4 fourths in 2.

Step-by-step explanation:

Answer:B: 40 squ. Units!

Step-by-step explanation:

Hope this helps

Answer:

40sq. Units

Step-by-step explanation:

I just did it

Answer:

3/4 using equation y2-y1/x2-x1

Step-by-step explanation:

Use the equation y2-y1/x2-x1

x1, y1  x2, y2

(16,12) (0,0)

0-12/0-16= -12/-16= 3/4

Answer:

18

Step-by-step explanation:

1.8*10= 18/10*10=180/10=18

Answer:

if we assume that

tan = opp/adj

then we can find the hypotenus by using phytagoras law

h² = o² + a²

h² = (m-1)² + (2√m)²

h² = m² - 2m + 1 + 4m

h² = m² + 2m + 1

then we factorized become

h² = (m + 1)²

h = m+1

so for sin x = opp/hyp = (m-1)/(m+1)

hope this can help you.

Step-by-step explanation:

Area of circle= Πr²

Πr² = 132² m

r²=132²/Π m

=5546.23m

r =√5546.23

=74.473 m

Answer:

387.872

Step-by-step explanation:

to find volume you have to multiply the length times width times height so that's what I did to get the answer.

Answer:

The fourth angle is 155

Step-by-step explanation:

The sum of the angles of a quadrilateral are 360 degrees

60 + 45 + 100 + x = 360

Combine like terms

205+x = 360

Subtract 205 from each side

205+x-205 = 360-205

x =155

Answer:

155

Step-by-step explanation:

Answer:

x = 4, -4

Step-by-step explanation:

f(x)= x^2 + 7

f(x) =23

23 = x^2+7

Subtract 7 from each side

23-7 = x^2 +7-7

16 = x^2

Take the square root of each side

±sqrt(16) = sqrt(x^2)

±4 = x

Answer:

Step-by-step explanation:

power i guess

Answer:

Exponent, Power or Indices

Step-by-step explanation:

The number is called Exponent, Power or Indices

Answer:

The one that says: One solution: (-1,1)

Step-by-step explanation:

y=2x-1

3=-1/3x+4/3

Answer:

1) 13.3 cm

2) 48.3 cm

Step-by-step explanation:

1) Right angled triangle ODC and right angled triangle OAB are similar because AB//DC. The two triangles have the same proportion and are equiangular (having equal angles) but have different lengths.

Let OB = x, OC = OB + BC = x + 8

Therefore:

[tex]\frac{OC}{OB}=\frac{DC}{AB} \\\frac{x+8}{x}=\frac{15}{6}\\15x=6(x+8)\\15x=6x+48\\15x-6x=48\\9x=48\\x=5.3\ cm[/tex]

The height of triangle ODC = OC =  x + 8 = 5.3 + 8 = 13.3 cm

2) Using Pythagoras theorem:

OD² = OC² + DC²

OD² = 13.3² + 15²

OD² = 401.89

OD = √401.89 = 20 cm

2) perimeter of triangle ODC = OD + OC + DC = 20 + 13.3 + 15 =48.3 cm

Answer:

Step-by-step explanation:

Hello,

This question requires us to convert numbers from standard form to scientific form. This can easily be done using a calculator or just writing the number down then put a decimal point after the first digit and count the rest which would be raised to the power of that number.

Budget = 69.1 billion

Converting this to scientific form = 6.91×10¹⁰

Population = 11.67 million

Converting this to scientific form = 1.167×10⁷

Budget per capita refers to budget allocated to each individual in the population.

Budget per capita is used to compare economic indices or indicators of various countries with different population sizes.

Budget per capita = budget / total population

Budget per capita = 6.91×10¹⁰ / 1.169×⁷

Budget per capita = 5911.03

What this implies is that for each individual living in the state of Ohio, the amount budgeted for that particular period (mostly in a given year) is 5911.03

Answer:

Anna spent $51 in all.

Step-by-step explanation:

36+15=51

Answer:

$51

Step-by-step explanation:

Anna bought two items: a backpack and a lunch box. If we want to find the total amount of money Anna spent, we have to add the price of the backpack and the price of the lunchbox.

price of backpack+price of lunchbox

The backpack cost $36 and the lunchbox cost $15

$36+$15

Add 36 and 14

$51

Anna spent $51 in total

Answer:

2b) 4/2=2

3) 80/60=8/6