Alicia is a nurse.
In 2016, she earned a monthly salary of £1750
In 2017, she was awarded a 2% pay increase on her monthly salary.
Given that in 2017 Alicia worked 45 hours per week for 48 weeks,
work out her average pay per hour for the year.

Answer:

A = 90.25 pi in^2

Step-by-step explanation:

The circumference is given by

C = 2*pi*r

19pi = 2*pi*r

Divide each side by 2 pi

19pi / 2 pi = 2*pi*r/ 2pi

9.5 = r

The area is given by

A = pi r^2

A = pi ( 9.5)^2

A = 90.25 pi in^2

Answer:

The area of circle is 90.25 π inches².

Step-by-step explanation:

Given :-

Circumference of circle is 19 π in.

To Find :-

Area of circle

Solution :-

Firstly, we need to find radius of circle

Using formula

Circumference of circle = 2 π r

substitute the value

19 π inches = 2 π r

Divide each side by 2 π

19 π inches / 2 π = 2 π r / 2 π

9.5 inches = r

Now, Finding the area of circle

Using formula

Area of circle = π × r²

Where,

Substitute the values

Area of circle = π × ( 9.5 inches)²

Evaluate the exponent

Area of circle = π × 90.25 inches ²

multiply ,we get

Area of circle = 90.25 inches²

Hence, the area of circle is 90.25 π inches².

For this question, we will need to know that when we divide two numbers with the same base but different exponents, we must subtract the exponents.

[tex]\dfrac{a^m}{a^n}=a^{m-n}[/tex]

[tex]\dfrac{9^5}{9^3}[/tex]

Subtract the exponents:

[tex]9^2[/tex]

[tex]9^2[/tex]

Answer:

40-12=28

28+3.45=31.45

so now lucy has 31.45

Your Welcome

BIFFY OUT!!!

Answer:

sorry only doing the ones im sure of

a)

FBC is half the circle, so the angle would = 180.

180 - 135 = 45, so thats the angle between BC

its a vertical angle, so it would be the same on the other side, between FE

the only angle left is betweeen DC, so add them all up and minus by 360

360 - 306 = 54

b)

a triangle's angles add up to 180, so

49 + 70 = 119

180 - 119 = 61

since this is an inscribed angle that isnt connected to the center, the arc will be double the angle

so ? = 122

d)

5(8) = 40

40/4 = 10

x = 10

f)

the rest of the circle is 243 bc 360-117=243

243 - 177 = 126

126/2 = 63

Answer:

52

Step-by-step explanation:

8*16 = 128

8*20 = 180

180-128 =52

Answer:

mean = 5

median = 4.5

mode = 4

Step-by-step explanation:

Mean :

n = 8

sum of all items = 4+6+5+4+4+5+4+8

= 10+9+9+12

= 19+ 21

= 40

so,

mean = sum of all items/ n

= 40/8

= 5

mean = 5

Median:

ascending order: 4,4,4,4,5,5,6,8

n = 8

md = (n+1)/2 the term

= (8+1)/2 th term

= 9/2 th term

= 4.5 th term

= (4th + 5th) / 2

= (4+5)/2

= 9/2

= 4.5

median = 4.5

x. f.

4. 4

5. 2

6. 1

8. 1

here the highest frequency is 4 and 4 is corresponding to 4

so, mode = 4

If that answer doesn't work, then try 29 without the percent sign.

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

Explanation:

We know with absolute certainty that the person ordered a hot drink, due to the "given".

This means we only focus on the values in the first row.

There are 5+48+22 = 75 hot drinks ordered. Of that total, 22 hot drinks are large.

The probability of getting a large drink, given it was a hot beverage, is 22/75 = 0.2933 approximately.

This converts to 29.33% and that rounds to 29%

Answer:

ans: 8

Step-by-step explanation:

t3×2 mean see the term in 3rd row and second column,

The value of the f 32 in the given matrix is 8.

A matrix is a rectangular array or table of numbers, symbols, or expressions, arranged in rows and columns, which is used to represent a mathematical object or a property of such an object.

For example, is a matrix with two rows and three columns.

Given is a matrix of order 3x4, we need to find the object in f 32,

So, f 32

This means the entry in Row 3 Column 2

From the matrix we can see that f 32 = 8

Hence, the value of the f 32 in the given matrix is 8.

Learn more about matrix, click;

https://brainly.com/question/28180105

#SPJ7

Answer:

(8 - 12 )

Step-by-step explanation:

Given

[tex]\frac{1}{4}[/tex] x - [tex]\frac{1}{2}[/tex] y = 8

[tex]\frac{1}{2}[/tex] x + [tex]\frac{3}{4}[/tex] y = - 5

Multiply both equations through by 4 to clear the fractions

x - 2y = 32 → (1)

2x + 3y = - 20 → (2)

Multiplying (1) by - 2 and adding to (2) will eliminate the x- term

- 2x + 4y = - 64 → (3)

Add (2) and (3) term by term to eliminate x

0 + 7y = - 84

7y = - 84 ( divide both sides by 7 )

y = - 12

Substitute y = - 12 into either of the 2 equations and solve for x

Substituting into (1)

x - 2(- 12) = 32

x + 24 = 32 ( subtract 24 from both sides )

x = 8

solution is (8, - 12 )

Answer:D:(8,-12)

Step-by-step explanation:took a test:D

Answer:

3

Step-by-step explanation:

you can see this on the graph; just find 8 on the y axis and look for the value of x that corresponds to it

Answer:

To find = his annual income

solution = annual income be = x

0.3 of x = 1,800

= 0.3x = 1, 800

= x = 6, 000

Annual income of GH¢ is = 6 , 000

Step-by-step explanation:

Hope this answer helps you :)

Have a great day

Mark brainliest

Answer:

Step-by-step explanation:

Hope this helps u !!

Area of Circle = pi * r* r

Diameter = 2* r

Radius = 30/2 = 15 cm

pi = 3.14

Area of circle = 3.14 * 15 *15 = 707.14 cm ^2

Answer:

Step-by-step explanation:

To calculate the compound interest we want to multiply the amount of money (£4700) by the interest (6%) which would be the percentage multiplier!

To get the new amount we do:

Original amount × (percentage multiplier)ⁿ

The amount of years would be the indices.

For the first year:

£4700x1.06= £4982.

But we want to find out how much she will have altogether in different years.

So for two years:

£4700x1.03²= £5280.90 (rounded)

As you can see the amount of years will be the indices with the interest as our multiplier.

We do this again for 5 years and 10 years:

£4700x1.06⁵= £6289.70 (rounded)

£4700x1.06¹⁰=£8416.20 (rounded)

Hope this helps!

Answer:

-11/28

Step-by-step explanation:

Following BODMAS:

(2/5 * -3/7) - (1/6 * 3/2) + (1/14 * 2/5)

= (-6/35) - (1/4) + (1/35)

= 1/35 - 6/35 - 1/4

= -5/35 -1/4

= -55/140

= -11/28

Answer:

-(a)^2 + a - 11

Step-by-step explanation:

N - T = -3(a)^2 + 2a - 5 - (-2(a)^2 + a + 6)

        = -3(a)^2 + 2a - 5 +2(a)^2 - a - 6

        = -3(a)^2 + 2(a)^2 + 2a - a - 6 -5

        = -(a)^2 + a - 11

Step-by-step explanation:

76.72135955 is the answer I think So if the answer is correct then plz mark me as brainliest

Answer:

(1, 2)

(2,2)

Step-by-step explanation:

The inequality Given :

y < 5x + 2

y ≥ One-halfx + 1

We can use the values in the options to see which satisfies the inequality :

(-1, 3) ; X = - 1, y = 3

3 < 5(-1) + 2 ; 3 < - 4 (not true)

(0, 2) ; X = 0 ; y = 2

2 < 5(0) + 2 ; 2 < 2 (nor true)

2 > 1/2(0) + 1

2 > 1 (true)

Using (1, 2).; x = 1 ; y = 2

2 < 5(1) + 2 ; 2 < 7 (true)

2 > 1/2(1) + 1 ; 2 > 1.5 (true)

Using (2, 2)

y < 5x + 2

2 < 10 + 2 ; 2 < 12 (true)

y > 1/2x + 1

2 > 1/2(2) + 1 ; 2

Answer:

p = [tex]\frac{16}{q+1}[/tex]

Step-by-step explanation:

Since there are 2 equal roots then the value of the discriminant is zero, that is

b² - 4ac = 0

Given

(q + 1)x² - 8x + p = 0 ← in standard form

with a = q + 1, b = - 8, c = p , then

(- 8)² - 4p(q + 1) = 0

64 - 4p(q + 1) = 0 ( subtract 64 from both sides )

- 4p(q + 1) = - 64 ( divide both sides by - 4 )

p(q + 1) = 16 ( divide both sides by q + 1 )

p = [tex]\frac{16}{q+1}[/tex]

Answer:

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

Step-by-step explanation:

The sum to n terms of a geometric sequence is

[tex]S_{n}[/tex] = [tex]\frac{a(1-r^{n}) }{1-r}[/tex]

where a is the first term and r the common ratio

The expression inside the summation is

4 [tex](\frac{1}{4}) ^{n-1}[/tex] ← the nth term of a geometric sequence

with a = 4 and r = [tex]\frac{1}{4}[/tex] , then

[tex]S_{4}[/tex] = [tex]\frac{4(1-(\frac{1}{4}) ^{3}) }{1-\frac{1}{4} }[/tex]

    = [tex]\frac{4(1-\frac{1}{64}) }{\frac{3}{4} }[/tex]

    = [tex]\frac{16}{3}[/tex] ( [tex]\frac{63}{64}[/tex] )

    = [tex]\frac{21}{4}[/tex]

    = 5 [tex]\frac{1}{4}[/tex]

Answer:

never really liked accounting, but...

The Assets seem to total $33000

and the Liabilities also seem to add to $33000

that seems to be what is supposed to happen in an accounting problem

Step-by-step explanation:

Answer:

A. 3.60+5/6x=4.35  

Step-by-step explanation:

Total cost = milk + price per pound of oranges* number of pounds  

We know the total cost = 4.35 and the cost of the milk = 3.60  and the number of pounds of oranges = 5/6  

4.35 = 3.6 +5/6 * x

Answer:

a

Step-by-step explanation:

Answer:

Step-by-step explanation:

1)

∠1 = ∠2     {Angles opposite to equal angles are equal}

∠1 = ∠2 = x

x +x + 55 = 180  {angle sum property of triangle}

2x + 55 = 180

        2x = 180 - 55

        2x = 125

          x = 125/2

x = 62.5

∠1 = 62.5

2) ∠2 = 62.5

3) ∠3 = 55         {Vertically opposite angles are congruent}

4) ∠4 + 105 = 180        {linear pair}

∠4 = 180 - 105

∠4 = 75

5) ∠3 + ∠4 + ∠5 = 180 {Angle sum property of triangle}

    55 + 75 +∠5 = 180

            130 + ∠5 = 180

                     ∠5 = 180 - 130

∠5 = 50

let's calculate the front face area and then multiply by 8cm to get the volume

18cm*24cm / 2 *8cm

= 1728cm³

Answer:

Step-by-step explanation:

If p = t + v and t is 5/2 and p is 0, then

0 = 5/2 + v and

v = -5/2

If IK is the whole length of the line segment, then IJ + JK = IK.

IJ + JK = IK

(3x - 5) + (2x - 1) = (3x + 2)

3x + 2x - 5 - 1 = 3x + 2

5x - 6 = 3x + 2

2x - 6 = 2

2x = 8

x = 4

Now that we know the value of x, we can plug this value back into the expression for JK and evaluate.

JK = 2x - 1

JK = 2(4) - 1

JK = 8 - 1

JK = 7

Hope this helps!

Answer:

ksjsjsowjsnsoajjsodhew