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Lelu [443]
3 years ago
12

I attached a photo for this question

Mathematics
1 answer:
klasskru [66]3 years ago
4 0

Answer:

In order to prove that these numbers are all rational, you must be able to express then as a fraction, \frac{a}{b}, where b ≠ 0.

Firstly, in order to turn 3 into a fraction, remember that any number divided by 1 is 0. Therefore, 3 as a fraction can be expressed as \frac{3}{1}.

This satisfies the criteria: A fraction in the form \frac{a}{b}, where b ≠ 0.

Next, -2. Same with 3, any number over itself is 1. -2 as a fraction is -\frac{2}{1}. This, again, satisfies the given definition for a rational number.

Now, the more challenging one, -0.75.

It is likely a commonly known fact that 0.75 is equal to three quarters, but I will show the formal way to convert decimals to fraction, just in case in the future there is some other confusing decimal that isn't that commonly seen.

For terminating decimals (ones that do not go on forever), you can simply put it over 1, then multiply it by 100:

-0.75

= -\frac{0.75}{1}

Multiply that by 100:

-\frac{75}{100}

We could simplify this fraction further, but that is enough to show that -0.75 is a rational number: it fits the given definition!

I hope this helps you out! If you still have any questions, you can reply to this answer :)

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wlad13 [49]
You didn’t post an image of the graph..
3 0
3 years ago
On the 1st January 2014 Carol invested some money in a bank account.
Ghella [55]

Answer:

\large \boxed{\text{\pounds 23 360.00}}

Step-by-step explanation:

The formula for the accrued amount from compound interest is

A = P \left(1 + \dfrac{r}{n}\right)^{nt}

1. Amount in account on 1 Jan 2015

(a) Data:

a = £23 517.60

r = 2.5 %

n = 1

t = 1 yr

(b) Calculations:  

r = 0.025

\begin{array}{rcl}23517.60 & = & P\left (1 + \dfrac{r}{n}\right)^{nt}\\\\& = & P\left (1 + \dfrac{0.025}{1}\right)^{1\times1}\\\\& = & P (1 + 0.025)\\ & = & 1.025 P\\P & = & \dfrac{23517.60 }{1.025} \\\\& = & 22 944.00 \\\end{array}

The amount that gathered interest was £22 944.00 but, before the interest started accruing, Carol had withdrawn £1000 from the account.

She must have had £23 944 in her account on 1 Jan 2015.

(2) Amount originally invested

(a) Data

A = £23 944.00

\begin{array}{rcl}23 944.00 & = & 1.025 P\\P & = & \dfrac{23 944.00 }{1.025} \\\\& = & \mathbf{23 360.00} \\\end{array}\\\text{Carol originally invested $\large \boxed{\textbf{\pounds23 360.00}}$ in her account.}

3. Summary

1 Jan 2014      P = £23 360.00

1 Jan 2015     A =    23 944.00

     Withdrawal = <u>    -1  000.00 </u>

                     P =     22 944.00

1 Jan 2016    A =    £23 517.60

5 0
3 years ago
Which decimal is equivalent to 8/15
earnstyle [38]
It is 5.33 repeating
4 0
3 years ago
Read 2 more answers
PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS
gayaneshka [121]

Answer:

( 1, -2)

step-by-step explanation:

  • original coordinates of C: (4, -2)

if reflected over y-axis: use the formula: (x,y) → (-x,y)

  • new coordinates: (-4, -2)

then if translated 5 units horizontally, there will be change in x axis:

  • new coordinates: (-4+5, -2) → ( 1, -2)
7 0
2 years ago
Help it’s easy but yh still need help lol
guapka [62]

Answer:

14 students walk

Step-by-step explanation:

40 total

22 girls

18 boys - 7 boys who cycle = 11 boys - 6 who take the bus. That leaves 5 boys who walk.

9 girls walk

5 + 9 = 14 total.

3 0
2 years ago
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