1. £1000 is invested for 2 years at 5% per annum with compound interest. Work out the total amount in the account after 2 years.

Answer:

[tex]A)13[/tex]

Step-by-step explanation:

[tex]4(x+2)-6=x+41[/tex]

[tex]→4x + 4 \times 2 - 6 = x + 41[/tex]

[tex]→4x + 8 - 6 = x + 41[/tex]

[tex]→4x + 2 = x + 41[/tex]

[tex]→4x + 2 - x = x + 41 - x[/tex]

[tex]→4x - x + 2 = x - 41 - x[/tex]

[tex]→3x + 2 = x + 41 - x[/tex]

[tex]→3x + 2 = 41[/tex]

[tex]→3x + 2 - 2 = 41 - 2[/tex]

[tex]→3x - 39[/tex]

[tex]→ \frac{3x}{3} = \frac{39}{3} [/tex]

[tex]→x = \frac{39}{3} [/tex]

[tex]→x = 13[/tex]

Explanation:

The given equation is in the form [tex]ax^2+bx+c=0[/tex], where,

Use the quadratic formula to get the following

[tex]x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(-3)\pm\sqrt{(-3)^2-4(1)(-1)}}{2(1)}\\\\x = \frac{3\pm\sqrt{9+4}}{2}\\\\x = \frac{3\pm\sqrt{13}}{2}\\\\[/tex]

The last equation matches with choice C.

Answer:

Step-by-step explanation:

I know it might not help but try searching demos scientific calculator and all you have to do is enter the formula

Answer:

C=66, C=25 1/7

Step-by-step explanation:

i

C=pi(d)

C=22/7*21

C=66

ii

C=pi(d)

C=22/7*16

C=25 1/7

Answer:

£60 per day

Step-by-step explanation:

1 week = 5 days

Dan earned = £300

therefore 1 day = 300 ÷ 5 = £60 per day

Answer:

d

Step-by-step explanation:

Answer:

Step-by-step explanation:

5x

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The rate of change of the hypotenuse after 2 minutes is 0.505 cm/min

Let L be the length of one leg and D be the length of  the other leg of the right triangle and y its hypotenuse

Since it is a right angled triangle, we have that, using Pythagoras' theorem

y² = L² + D²

Since the length of sides are the same, L = D = 70 cm.

So, y² = L² + D²

y² = 70² + 70²

y² = 2(70²)

y = 70√2

y = 98.99 cm

Also, one side increases at a rate of 5 cm/min and the other side decreases at a rate of 5 cm/min.

The increase in length of one side after 2 min is 5cm/min × 2 min = 10 cm.

So, it new length is L' = 70 + 10 = 80 cm

The decrease in length of the other side after 2 min is -5cm/min × 2 min = -10 cm.

So, it new length is D' = 70 + (-10 cm) = 60 cm

So, the new hypotenuse length is y' = √(L'² + D'²)

= √(80² + 60²)

= √(6400 + 3600)

= √10000

= 100 cm

Now, the change in length of the hypotenuse side in 2 minutes is Δy = 100 cm - 98.99 cm = 1.01 cm

So, rate of change of the hypotenuse after 2 minutes is 1.01 cm/2 min = 0.505 cm/min

The rate of change of the hypotenuse after 2 minutes is 0.505 cm/min

Learn more about rate of change here:

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Answer:

letter D

Step-by-step explanation:

it's my guess I think it's correct

Answer:

Step-by-step explanation:

All pentagons angles = 540

540 - 107 - 100 - 96 - 119 = 118

Hope it helped!

Kavitha

Answer:

The answer above is in fact correct

Step-by-step explanation:

107+100+96+119+118=540

Answer:

c. -19

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Given a polynomial in standard form

The leading coefficient is the coefficient of the variable with the largest exponent.

The term with the largest exponent of the variable is

[tex]\frac{1}{4}[/tex] [tex]x^{5}[/tex]

Then the leading coefficient is [tex]\frac{1}{4}[/tex] → A

Answer:

It is Positive 92

Step-by-step explanation:

-71 + 92 = 21

Answer:

3z+13

Step-by-step explanation:

Perimeter is found by adding all the sides

z+2+z+2+z+9

3 z variables  2+2+9=13

Simplified equals

3z+13

Hope this helps!

Please mark this answer as brainiest :)

80=5x+12.5

We just use the equation y=mx+b. Where 80 is our Y, 5 is our slope, or m, and 12.5 is our constant, or b.

For the giggles I'll also solve the equation.

80-12.5=5x

67.5=5x

67.5 / 5 = x

13.5 = x

This means that each ticket was $13.5. Wow, that's an expensive ticket.

I hope this helps! :)

Answer:

I will answer soon aim coming

Answer:

3/4

Step-by-step explanation:

5 action+4 comedy+3 drama= 12 total movies

12 will be the denominator of our fraction.

The question asks: What is the probability that the movie she selects is NOT a drama?

So, we add the number of action and comedy movies.

5+4=9

9 is our numerator.

But wait! We have to simplify the fraction 9/12!

9 divided by 3= 3

12 divided by 3= 4

Reduced answer: 3/4

Answer:

m∠2 = 17°

Step-by-step explanation:

y + 10 = 3y - 24

34 = 2y

17 = y

[tex]a + 3 \dfrac 14 = 5 \dfrac 29\\\\\\\implies a + 3 + \dfrac 14 = 5 + \dfrac 29\\\\\\\implies a+ \dfrac {13}4 = \dfrac{47}9\\\\\\\implies a = \dfrac{47}9 - \dfrac{13} 4 = \dfrac{188-117}{36} = \dfrac{71}{36} = 1 \dfrac{35}{36}[/tex]

Step-by-step explanation:

Example given 0.987.

0.987 = 987/1000

now, to convert the decimal in percentage.

(987/1000 ×100)% = 98.7%.

hope this helps you.

Answer:

a: 2n + 11 = 25

b: 7

Step-by-step explanation:

a number is n, double it is x2 so that gets 2n and it says add eleven so 2n + 11. I get 25 so 2n + 11 = 25

2n + 11 = 25

     - 11    - 11

2n = 14

2n/2 = 14/2

n = 7

The equivalent expression will be;

⇒ m + 13 = 18 - 4

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ m + 17 = 18

Now,

Since, The expression is,

⇒ m + 17 = 18

Solve for m as;

⇒ m + 17 - 17 = 18 - 17

⇒ m = 1

For option (i);

The expression is,

⇒ m + 7 = 18 - 12

⇒ m + 7 = 6

⇒ m = - 1

For option (ii);

The expression is,

⇒ m + 6 = 18 - 10

⇒ m + 6 = 8

⇒ m = 2

For option (iii);

The expression is,

⇒ m + 17 - 2 = 17

⇒ m + 15 = 17

⇒ m = 2

For option (iv);

The expression is,

⇒ m + 13 = 18 - 4

⇒ m + 13 = 14

⇒ m = 1

Thus, The equivalent expression is,

⇒ m + 13 = 18 - 4

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The equivalent expression of m + 17 = 18 is determined as m + 13 = 18 - 4 (Option D).

An equivalent expression refers to a mathematical or algebraic expression that has the same value or meaning as another expression, despite potentially having a different appearance or form.

The equivalent expression is calculated as

m + 17 = 18

Solve for m as;

m + 17 - 17 = 18 - 17

m = 1

So we are going to solve all the equations and the one that has the value of m equal to 1 is the equivalent expression.

Solving for option (1)

m + 7 = 18 - 12

m = -1

Solving for option (4)

m + 13 = 18 - 4

m + 13 = 14

m = 1

Thus, the equivalent expression is m + 13 = 18 - 4

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Answer:

1) x = 13 (because other angle of the triangle is 45°.Then the foots faced to equal angles are equal)

Then we can calculate y by pythagoras law

[tex] {y}^{2} = {x}^{2} + {13}^{2} \\ {y}^{2} = {13}^{2} + {13}^{2} \\ y = \sqrt{2 \times 169} \\ y = 13 \sqrt{2} [/tex]

We can get answers for others by this way. If you want others answers text me in comment box

Answer:

x = 12

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

8 + 6x is an exterior angle of the triangle , then

8 + 6x = 30 + 4x + 2

8 + 6x = 32 + 4x ( subtract 4x from both sides )

8 + 2x = 32 ( subtract 8 from both sides )

2x = 24 ( divide both sides by 2 )

x = 12

Answer:

Sami can make 7 necklaces.

233.8cm ÷ 33.4 = 7

Answer:

-7/10 + 7 2/3 = 209/ 30 = 6 29/ 30 ≅ 6.9666667

Hope This Helps!!!

Answer:

6 29/30 or 209/30

Step-by-step explanation:

-7/10+  7 2/3

-7/10+23/3

-21/30+ 230/30

209/30

which is 6 29/30

Answer:

Step-by-step explanation:

i showspeed

Answer:

4/3

Step-by-step explanation:

216/162 216 is divisible by 54 and so is 162 so if you divide both by 54 you get 4/3

Answer:

4/3

Step-by-step explanation:

lowest terms is 4/3 e e e. e

=========================================================

Explanation:

10 minutes = 10/60 = 1/6 of an hour

Divide the distance over the time duration to find his speed

speed = distance/time

speed = (16.5 miles)/( 1/6 hr )

speed = 16.5*(6/1) mph

speed = 99 mph

Then subtract off the speed limit posted by the sign.

99 - 70 = 29 mph

Adnan is 29 mph over the speed limit.

Answer: 29 miles/hour (mph)

Step-by-step explanation:

10 minutes is 0.16667 hour (hr).

16.5 miles/0.16667 hr = 99 mph

99 - 70 = 29 mph

Step-by-step explanation: