Hannah invests £350 in an account that pays 3.5% compound interest per annum. Work out how much money Hannah will have in her account in 12 years.

Answer:

Arc = angle/360° x 2πr

13) = 72/360 x 2π x 25

= 1/5 x 2π x 25 = 10π

14) 270/360 x 2π x 2

= 3/4 x 4π = 3π

Answer:

y = 42

Step-by-step explanation:

Given that y varies directly as x then the equation relating them is

y = kx ← k is the constant of variation

To find k use an ordered pair from the table.

Using x = 2 when y = 12, then

12 = 2k ( divide both sides by 2 )

6 = k

y = 6x ← equation of variation

When x = 7, then

y = 6 × 7 = 42

Answer:

42

Step-by-step explanation:

just took the quiz and got it right

Answer:

280

Step-by-step explanation:

30%=30/100=0.3

Let's call the mystery number x.

84=0.3x

84/0.3=0.3x/0.3

x=84/0.3=280

Hope this helps!

Answer:

44

Step-by-step explanation:

First you have to make sure that you move everything from one side to the other and set the equation equal to zero. Then you have to simplify the equation as much as you can so you get:

x/14

7 * (x/14)

eventually you get

(x-22)/2 =0

from there you can solve for 44

Answer:

A) ΔABC ≅ ΔEDC

Step-by-step explanation:

To prove triangles congruent with the AAS method, you need two angles and the non-included side of one triangle to be congruent to the corresponding parts of another triangle.

Let's see what we have in these two triangles.

Side AB is congruent to side ED. This is one pair of sides.

Angle A is congruent to angle E. This is one pair of sides.

Now we need a second pair of angles, that will make the two sides not-included in the angles.

By the congruence of vertical angles, we see that angles ACB and ECD are congruent. This is another pair of congruent angles.

We have two angles and a non-included side of one triangle congruent to two angles and a non-included side of another triangle. The triangles are congruent by AAS.

Answer: A) ΔABC ≅ ΔEDC

Answer:

A

Step-by-step explanation:

first lets find the area of the square

A=l*w

12*12=144 m^2

then lets find the are of the circle

A=pi*r^2

A=3.14*(d/2)^2

the diameter of the circle is 12m

A=3.14*(12/2)^2

A=3.14*(6)^2

A=3.14*36

A=113.04 m^2

Now, lets subtract the area of the circle form the area of the square

144-113.04= 30.96 m^2

So, the answer is A

Answer:

P = 72 mm

Step-by-step explanation:

Since all the angles are equal, this triangle is an equilateral triangle.

That means all the sides are equal.

All sides have length 24

P = 24+24+24

P = 72 mm

Answer:

[tex]=8x^2+8x+11y[/tex]

Step-by-step explanation:

[tex]\left(3x^2+10x+5y\right)-\left(-5x^2+2x-6y\right)\\\mathrm{Remove\:parentheses}:\quad \left(a\right)=a\\=3x^2+10x+5y-\left(-5x^2+2x-6y\right)\\=3x^2+10x+5y+5x^2-2x+6y\\=3x^2+5x^2+10x-2x+5y+6y\\\mathrm{Add\:similar\:elements:}\:3x^2+5x^2=8x^2\\=8x^2+10x-2x+5y+6y\\\mathrm{Add\:similar\:elements:}\:10x-2x=8x\\=8x^2+8x+5y+6y\\\mathrm{Add\:similar\:elements:}\:5y+6y=11y\\=8x^2+8x+11y\\[/tex]

Answer:

a

Step-by-step explanation:

Radical roots occur as conjugate pairs

Given - 5 + [tex]\sqrt{3}[/tex] t is a root , then

- 5 - [tex]\sqrt{3}[/tex] t is also a root → a

Answer:

2x+6

Step-by-step explanation:

Answer:

[tex]1.20 x 10^{6}=1,200,000\\\\6.0 x 10^{5}=600,000[/tex]

Step-by-step explanation:

You move the decimal place over 6 times for the first equation and 5 for the second equation.

Hope this helps! Have a great day! :)

Step-by-step explanation:

These angles all add up to 360° because they form a circle, so b + b + 2b + 5b = 360°, and b = 40°. The largest angle is 5b which is 5 * 40 = 200°.

Answer:

200

Step-by-step explanation:

The sum of the angles is 360 degrees

5b+ b+b+2b = 360

Combine like terms

9b = 360

Divide each side by 9

9b/9 = 360 /9

b = 40

The largest angle is 5b

5*40

200

Answer:

=1.8

Step-by-step explanation:

R= Square root of volume/pie*height

R= 100/3.142*10

=100/31.42

=3.18

the square root of 3.18 is 1.78

1.78 rounded to the nearest tenth is 1.8

Answer:

The second option, or option b

Step-by-step explanation:

200/1.321 = 151.4

Answer: € 151.40

Step-by-step explanation:

€1 = $1.321

200/1.321 = €151.40

Answer:

y=45x+75

Step-by-step explanation:

The x represents the months and the one time fee is added

Answer:

there is only 1 but you have some left over so maybe 2

Answer:

Hey!

Your answer is about 3/2 servings!!

Step-by-step explanation:

HOPE THIS HELPS!!

Answer: 1/6x1/5

You have to remember the method keep, change, flip. keep 1/6 change the division sign to the multiplication sign and flip the 5 to 1/5.

Hope this helps <3

-Carrie

Be sure to mark brainliest

:)

9514 1404 393

Answer:

  (b)  8x^2y +7x^2 -5y^2 +3x -2 +2x^2y -x^2 -2y^2 -3x -4

Step-by-step explanation:

Detailed comparison of the answer choices seems to be required. The x^2y terms need to sum to 10x^2y, the 3x terms need to cancel, the constant terms need to sum to -6.

The appropriate choice on this list appears to be the second choice.

_____

Comment on the problem

In the form presented, it takes considerable time to sort the answer choices from one another and to determine what their differences are. It would be much more conducive to getting an answer if the problem were presented using the usual math symbols in a form that separates the question and the different answer possibilities.

Answer:

B

Step-by-step explanation:

i am smart

Answer:

60 lemons/ 15 cents=4 lemons so

4 lemons can be bought for 60 cents

Answer:

a)  -2 -< x-<  2

b)  -1 < x and < 2

Step-by-step explanation:

We use -< as the numbers are included in the solution being -2 and 2

We use < as the numbers are less than -1 and 2

You know the difference i just couldn't copy and paste the inequalities for a).

They face the same way I have shown.

If the line on the number line were not central to 2 numbers and separate then they would face the opposite way and show two inequalities and we refer to that as or, but both of these mean and. they mean and as the line joins them together on each number line, the only difference is an open circle means the numbers are not inclusive so we dont enhance the arrow for non inclusive, when a) is inclusive we put a line underneath the arrow and still face them the left side as x shows the relationship of being inclusive still the same. a) has a line under the arrow i just couldn't show and hope you see the difference as we only use two types of arrows.

Answer:

it's b because b and e are in the same place

Answer:

y = 3x - 9

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 3x + 4 ← is in slope- intercept form

with slope m = 3

Parallel lines have equal slopes, thus

y = 3x + c ← is the partial equation

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

- 3 = 6 + c ⇒ c = - 3 - 6 = - 9

y = 3x - 9 ← equation of parallel line

Answer:

3 plus 3 and 9 plsu 9 is 23 or 25 hope it help lil boy or girl

Step-by-step explanation:

the answer is in the top

Answer:

B and E

Step-by-step explanation:

Given the rational expression

[tex]\frac{x-7}{2x^2-32}[/tex] ← factorise the denominator

2x² - 32 ← take out a common factor of 2 from each term

= 2(x² - 16) ← (x² - 16) is a difference of squares

= 2(x - 4)(x + 4)

The expression can now be written as

[tex]\frac{x-7}{2(x-4)(x+4)}[/tex]

The denominator of the expression cannot be zero as this would make the expression undefined. Equating the denominator to zero and solving gives the values that x cannot be.

2(x - 4)(x + 4) = 0

Equate each factor to zero and solve for x

x - 4 = 0 ⇒ x = 4

x + 4 = 0 ⇒ x = - 4

These are the values of x that make the expression undefined.

x = 4 → B

x = - 4 → E

Answer:

20x

Step-by-step explanation:

Step-by-step explanation:

The ? is 4 * 5x which is 20x.

Answer: C

Step-by-step explanation: By going in order we can combine Cherry with Grape, Lemon and Orange. This creates 3 different flavors that are not the same flavor. We can move on to Grape, and combine it with Lemon and Orange since we have already combined it with Cherry. Finally, we can combine Lemon with Orange since it has already been combined with Grape and Cherry. Now, all possible combinations of flavors are shown.

OR

Create a list of each flavor combination per flavor, then rule out any repeats so only one remains.

Cherry: CL, CG, CO

Lemon: CL, GL, OL,

Grape: GC, GL, GO

Orange: CO, GO, LO

CL, CG, CO, GL, GO, LO

Answer:

2nd option is the correct answer.

Step-by-step explanation:

[tex] \because \bigg(x + \frac{b}{2a}\bigg) ^2 = \frac{-4ac+b^2}{4a^2}\\\\

\therefore \bigg(x + \frac{b}{2a}\bigg) ^2 = \frac{b^2-4ac}{4a^2}\\\\

\therefore \bigg(x + \frac{b}{2a}\bigg) = \pm \sqrt {\frac{b^2-4ac}{4a^2}} \\\\

\purple {\boxed {\bold {\therefore x + \frac{b}{2a}= \frac{\pm\sqrt{b^2-4ac}}{2a}}}} \\\\[/tex]

Answer:

B

Step-by-step explanation:

Answer:

Mini golf costs  $10 per round and batting cages cost $2.5 each turn.

Step-by-step explanation:

mini golf ([tex]m[/tex])

batting caves ([tex]b[/tex])

Sylvester:

[tex]5m+4b=60[/tex]

Lin

[tex]3m+6b=45[/tex]

System of equations:

[tex]$\left \{ {{5m+4b=60} \atop {3m+6b=45}} \right. $[/tex]

[tex]$\left \{ {{5m(-3)+4b(-3)=60(-3)} \atop {3m(5)+6b(5)=45(5)}} \right. $[/tex]

[tex]$\left \{ {{-15m-12b=-180} \atop {15m+30b=225}} \right. $[/tex]

[tex]18b=45[/tex]

[tex]b=2.5[/tex]

Now let's find [tex]m[/tex]

[tex]3m+6(2.5)=45\\3m+15=45\\3m=30\\m=10[/tex]

Answer:

Tbh i dont knw mahn .... i m poor and i need points to ask questions thats y m here

Step-by-step explanation: