Alice earns £450 in wages per month.
She pays £200 rent per month.
Next month.
her wages will increase by 2%
her rent will increase by 5%
She says
"The increase in my wages will pay for the increase in my rent."
Is she correct?
You must show your working.

Answer: 1/4

Step-by-step explanation:

Answer:

[tex]Area = 21.5ft^2[/tex]

Step-by-step explanation:

See attachment

Given

Square:

[tex]Length = 10ft[/tex]

Circle:

[tex]Diameter = 10ft[/tex]

[tex]\pi = 3.14[/tex]

Required: Calculate the area of the shaded region

First, calculate the area of the square:

[tex]A_1 = Length^2[/tex]

[tex]A_1 = (10ft)^2[/tex]

[tex]A_1 = 100ft^2[/tex]

Next, the area of the circle.

[tex]A_2 =\pi * \frac{d^2}{4}[/tex]

[tex]A_2 =3.14 * \frac{10^2}{4}[/tex]

[tex]A_2 =3.14 * \frac{100}{4}[/tex]

[tex]A_2 =3.14 * 25[/tex]

[tex]A_2 =78.5ft^2[/tex]

The shaded region has the following area

[tex]Area = A_1 - A_2[/tex]

i.e. the difference between the area of the square and  the area of the circle

[tex]Area = 100ft^2 - 78.5ft^2[/tex]

[tex]Area = 21.5ft^2[/tex]

B. x = 5; angle measure is 30°.

Answer:

There are no solutions

Step-by-step explanation:

Because the lines are parallel, they will never meet, meaning there are no solutions to this system of equations

Answer:

C. x = 3.71

Step-by-step explanation:

4 + 9(ln x) = 15.8

Subtract 4 from both sides.

9(ln x) = 11.8

Divide both sides by 9.

ln x = 11.8/9

x = e^(11.8/9)

x = 3.71

4 + 9 • In x = 15.8

x= 3.71

Answer:  See below

Step-by-step explanation:

-3    2^x + 3 = 2^(-3) + 3 = 0.125 + 3 = 3.125      (-3, 3.125)

-2    2^x + 3 = 2^(-2) + 3 = 0.25 + 3 = 3.25         (-2, 3.25)

-1    2^x + 3 = 2^(-1) + 3 = 0.5 + 3 = 3.5                (-1, 3.5)

0    2^x + 3 = 2^(0) + 3 = 1 + 3 = 4                        (0, 4)

1   2^x + 3 = 2^(1) + 3 = 2 + 3 = 5                          (1, 5)

2    2^x + 3 = 2^(2) + 3 = 4 + 3 = 12                      (2, 12)

3    2^x + 3 = 2^(3) + 3 = 8 + 3 = 11                       (3, 11)

Answer:

8n

Step-by-step explanation:

First 6 multiples of 8 = 8, 16, 24, 32, 40, 48

So the nth term of the multiple of 8 = 8n

For example for the 15th term of 8, 8×15=120

Answer:

105.5%

Step-by-step explanation:

The percentage change can be calculated as follows

= 210.99/200

= 1.05495 × 100

= 105.5%

Hence the percentage change is 105.5%

Answer:

c = 10

Step-by-step explanation:

8² + 6² = c²

64 + 36 = c

64 + 36 = 100

[tex]\sqrt{100\\[/tex] = 10

Hope this helps :)

9514 1404 393

Answer:

  (c)  2

Step-by-step explanation:

A graph shows the zeros are -5, -3, 0, 2. Of these, only 2 is on your list.

  2 is a zero of the expression

Answer:

Step-by-step explanation

3:45 mate :)

Step-by-step explanation:

60/3=20 +8:05=8:25

+7hrs from 8:25=3:25

3:25+20=3:45

Hope this helps :)

Answer:

3:45

Step-by-step explanation:

Answer:

y = - 3x + 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c

Given

3x + y = 3 ( subtract 3x from both sides )

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

Answer:

y=-3x+3

Step-by-step explanation:

3x+y=3

y=3-3x

y=-3x+3

Answer: 38.1$

Step-by-step explanation:

Answer:

About $24.34

Step-by-step explanation:

if you do 23 divided by 6 you get 3.8333333 then you do 3.83333333 times 6.35 and you get about $24.34.

Answer:

x = amount of real fruit juice used to make Drink A

y = amount of real fruit juice used to make Drink B

Step-by-step explanation:

Let

x = amount of real fruit juice used to make Drink A

y = amount of real fruit juice used to make Drink B

1. The company used 100.5 liters of real fruit juice, then

2. Drink A:

x = amount of real fruit juice used

percentage of real fruit juice

Then

5x = amount of drink A produced

Drink B:

y = amount of real fruit juice used

percentage of real fruit juice

Then

amount of drink B produced

The company makes 30 more liters of Drink A than liters of Drink B, so

The system of two equations is

Answer:

Median?

Step-by-step explanation:

Question is kinda unclear.

Mean: Average of the data values

Median: Middle of all the data values

Mode: Amount of times a value appears

Range: Difference between largest and smallest values.

Answer:

85, 68, 51

Step-by-step explanation:

Average: The sum of all the numbers divided by the number of numbers

If the ratio of the scores is 5 : 4 : 3, let's just set it as 5x : 4x : 3x

Then using the definition of an average, we can write this equation.

(5x + 4x + 3x) / 3 = 68

Multiply both sides by 3.

5x + 4x + 3x = 68 * 3

Simplify.

12x = 204

x = 17

Now, substitute x = 17 into the original scores (5x, 4x, and 3x)

5x = 5 * 17 = 85

4x = 4 * 17 = 68

3x = 3 * 17 = 51

Just in case, let's check this answer. Find the average of the 3 test scores.

(85 + 68 + 51) / 3 =

204 / 3 = 68

Thus, the answers are correct

Answer:

He reorders after 22 days

Answer:

(1200÷25) ÷ans= days

Step-by-step explanation:

Answer:

man I have no idea dude I don't really know squares if you're talking about square root I really don't know

Answer:

x = [tex]\frac{1}{2}[/tex],  -  [tex]\frac{5}{2}[/tex]

Step-by-step explanation:

This is not so fun!

[tex]4x^{2} + 8x - 5 = 0\\[/tex]

Step 1:  Move the 5 to the right side

[tex]4x^{2} +8x = 5[/tex]

Step 2:  Divide thru by 4

[tex]x^{2} + 2x = \frac{5}{4}[/tex]

Step 3:  Divide 2 (from 2x)  by 2 and square the result and add that to both sides of the equation.

2/2 = 1    1 squared = 1

[tex]x^{2} + 2x + 1 = \frac{5}{4} +1 = \frac{9}{4}[/tex]

Step 4:  Factor the left side

[tex](x + 1)^{2} = \frac{9}{4}[/tex]

Step 5:   Take the square root of both sides

x + 1 = ±[tex]\sqrt{\frac{9}{4} }[/tex] =  ± [tex]\frac{3}{2}[/tex]

Step 6:   Move the 1 to the right side and add the results

x = -1 ± [tex]\frac{3}{2}[/tex] = -1 +  [tex]\frac{3}{2}[/tex]   or -1 -  [tex]\frac{3}{2}[/tex]

              = [tex]\frac{1}{2}[/tex]    or   -  [tex]\frac{5}{2}[/tex]

And bingo, you have the solutions by completing the square.  Lot of fun, huh.  

Answer:

its c

Step-by-step explanation:

because i multuply

Answer:

320 cubic centimeters

Step-by-step explanation:

Multiply.

--

20 x 4 x 4 = 320

--

Finding Volume

Length x Width x Height = Volume

--

Answer:

9

Step-by-step explanation:

because the paragraph is telling you 9 of the 18 customers want mustard on their hot dog so the paragraph is telling you de answer

Answer:

57

Step-by-step explanation:

First, write the experimental probability as a fraction in simplest form.

P(mustard)

=

mustard

total

=

mustard

mustard+other

=

30

30+10

=

30

40

=

3

4

The experimental probability is

3

4

.

We can predict the outcome of the second set of trials by assuming that the ratio will be the same as in the first set of trials. Write a proportion by setting the two ratios equal to each other, then solve.

3

4

=

n

76

3

4

(476)

=

n

76

(476) Multiply both sides by (476)

376

= 4n Simplify

228

= 4n Simplify

57

= n Divide both sides by 4

You would expect 57 of the next 76 customers to want mustard.

Answer:

Point form: ([tex]\frac{1}{2}[/tex],-3)

Equation form: x=1/2  y=-3

Step-by-step explanation:

hope it helps ;)

Answer:

315m ^3

Step-by-step explanation:

make sure you put the exponent !!

Answer:

I'm pretty sure you would need a battery...