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soldi70 [24.7K]
4 years ago
5

Alice earns £450 in wages per month. She pays £200 in rent per month. Next month, • her wages will increase by 2% • her rent wil

l 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.
Mathematics
1 answer:
zvonat [6]4 years ago
6 0

Step-by-step explanation:

Wages

£450

450 x 1.02 = 459

Rent

£200

200 x 1.05 = 210

wages increases by £9

rent increases by £10

No the increase in her wages will not fully pay for the increase in the rent

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(NEEDED HELP ASAP, TIMER)
Vinil7 [7]

Answer:

None of the given points are on this graph of y = 1.5 + [x].

Step-by-step explanation:

The given function is f(x) = y = 1.5 + [x].

1. Now, f(- 4.5) = 1.5 + [- 4.5] = 1.5 - 5 = - 3.5 ≠ - 2.5

{Since, for - 5 ≤ x < - 4, [x] = - 5}

2. And, f(- 0.8) = 1.5 + [- 0.8] = 1.5 - 1 = - 0.5 ≠ 0.5

{Since, for -1 ≤ x < 0, [x] = - 1}

3. And, f(7.9) = 1.5 + [7.9] = 1.5 + 7 = 8.5 ≠ 9.5

{Since, for 7 ≤ x < 8, [x] = 7}

4. And, f(4.5) = 1.5 + [4.5] = 1.5 + 4 = 5.5 ≠ 6

{Since, for 4 ≤ x < 5, [x] = 4}

5. Finally, f(1.3) = 1.5 + [1.3] = 1.5 + 1 =2.5 ≠ 3.5

{Since, for 1 ≤ x < 2, [x] = 1}

So, none of the given points are on this graph of y = 1.5 + [x]. (Answer)

6 0
4 years ago
Find the equation of the line that passes through point (6, 1) with the x-intercept of 2.
34kurt

<u>Answer:</u>

○ y = \frac{1}{4}x - \frac{1}{2}

<u>Step-by-step explanation:</u>

To find the equation of the line, let's first consider the points whose coordinates we have been given:

• (6, 1)

• (2, 0).

The point (2, 0) is what is called the x-intercept, which is the point where the line crosses the x-axis. This means that at this point, the y-coordinate of the line is 0.

Next, let's calculate the slope (gradient) of the line using the formula:

m = \frac{y_2 - y_1}{x_2 - x_1}

where:

m = gradient,

(x_2, y_2) and (x_1, x_2) = points on the line.

Using the formula:

m = \frac{1 - 0}{6 - 2}

⇒ m =\bf \frac{1}{4}

Finally, now that we have two points on the line as well as the line's slope, we can use the following formula to find the equation of the line:

\boxed{y - y_1 = m(x - x_1)}

You can use any of the points on the line as y_1 and x_1.

Using (2, 0):

y - 0 = \frac{1}{4}( x - 2)

⇒ y = \frac{1}{4}x - \frac{1}{2}

Therefore the equation of the line is y = \frac{1}{4}x - \frac{1}{2}.

Learn more about point-slope form at:

brainly.com/question/15143525

6 0
2 years ago
HELP HELP HELP HELP HELP ME PLEASE
Cerrena [4.2K]

Answer:

H=B

A=G

C=E

D=F

L=N

M=K

J=P

I=O

8 0
3 years ago
Carla is 5 years old and Jim is 13 years younger than Peter. One year ago Peter's age was twice the sum of Carla and Jim's age.
kari74 [83]
Carla = 5 years old
Jim = 2 years old
Peter = 15 years old
(Peter was 14 years old one year ago)
5+2=7
7x2=14 (14 is the age from one year ago meaning 15 is the current age)
15-2=13
4 0
4 years ago
Given h(x) = 4x2 - 5x + 4 find h(-5).
MrRissso [65]

9514 1404 393

Answer:

  h(-5) = 129

Step-by-step explanation:

Put -5 where x is and do the arithmetic.

  h(-5) = 4(-5)² -5(-5) +4

  h(-5) = 4(25) +25 +4 = 129

7 0
3 years ago
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