A sum is invested in a building society at 4% interest per annum and after 3 years
the value of the investment is £562.43. How much was originally invested?

Answer:

[tex] - 2 \frac{1}{3} - ( - 5) \\ = - \frac{7}{3} + 5 \\ = \frac{8}{3} \\ = 2 \frac{2}{3} [/tex]

Answer:

60

Step-by-step explanation:

hope it helps!

Answer:

$5.75

Step-by-step explanation:

20=9.75 + 4.5 + c

20-9.75-4.5=c

5.75=c

Answer:

A. [tex]-\frac{15}{2} < x< 0[/tex]

Step-by-step explanation:

Multiply to remove the fraction, then set equal to  0  and solve.

Answer:

m = 2/1

Step-by-step explanation:

Slope is rise over run

Looking at the graph we know the slope is positive since it goes up from left to right

We have a point at (2,0)

We have another point at (3,2)

m = (y2-y1)/(x2-x1)

   = (2-0)/(3-2)

   = 2/1

Answer:

2

Step-by-step explanation:

you have to dived 3/4 by 3/8= 24/12=2

Answer:

A

Step-by-step explanation:

look at how the sign are set +-can't be correct so b is out c some of the equation is missing d in d the equation is different e you can't have--1 that's wrong

Answer:

20/100*x=$30

20x/100=$30

x/5=$30

x=$30*5

x=$150

Step-by-step explanation:

20 percent of 150 equals 30 so 150 times 20 percent would give you 30

Answer:

Step-by-step explanation:

The perimeter of a rectangular pool is more then 62 meters, and the width is at least 10 meters less then the length. Witch system of inequalities represents the possible length in meters, /, and the possible width in meters,

Answer:

Exact volume: 804.24772

Approximate volume: 804.248

Step-by-step explanation:

V = 1/3hπr².

Answer:

The probability that a randomly placed point falls within the smaller, inner circle is 25/64

Step-by-step explanation:

The remaining part of question is attached

Solution

The area of smaller circle is

[tex]\pi r^2 = 25 \pi[/tex]

The area of large circle is

[tex]\pi r^2 = 64 \pi[/tex]

Area of the shaded region

Area of large circle - area of small circle

[tex]64\pi -25\pi = 39\pi[/tex]

Probability that the point falls in the region of smaller circle is

[tex]\frac{25\pi }{64\pi } \\\frac{25}{64}[/tex]

Answer:

18

Step-by-step explanation:

colored: white

3           :8

We have 48 white papers so multiply each side by 6

colored: white

3*6       :  8*6

18               48

There are 18 colored papers

Answer:

C)  18

Step-by-step explanation:

3/8 = c/48

cross-multiply to get:

8c = 144

c = 18

Answer:

x=  -9       y= -4

Step-by-step explanation:

Step 1:

  2x-3y=-6

+ -2x-2y=26

_____________

         -5y=20

Step 2:

Get y by itself by dividing -5 on both sides

20/-5=-4

Therefore, y= -4

Step 3:

Plug -4 into the y for the first equation to get the number for x

2x-3(-4)=-6

2x+12=-6

2x= -18

x= -9

Answer:

To factor means to express as a product. To expand means to multiply something out.

Step-by-step explanation:

please answer my question for me pleaseeee

Answer: Its the first one

Answer:

B

Step-by-step explanation:

Domain is the x value and it is asking your for the coordinates with the same x value.

Answer:

m < 15

Step-by-step explanation:

2m+10 < 40

Subtract 10 from each side

2m+10-10 < 40-10

2m < 30

Divide by 2

2m/2 = < 30/2

m < 15

Answer:

the domain of y = x is all real numbers.

Answer:

a mans car...

Step-by-step explanation:

a man's car breaks down while driving to work

because all the other ones are in their head

Answer:

34

Step-by-step explanation:

Answer:

Step-by-step explanation:

100+2x+40=180(sum of interior angle of a triangle)

140+2x=180

2x=180-140

2x=40

x=40/2

x=20

Answer:

x=20

Step-by-step explanation:

the sum of the angles of a triangle is 180

so it means,

100+40+(2×)=180

140+(2×)=180

2×=180-140

2×=40

divide both sides by 2

x=20

to prove this substitute 20 inside see if the result is 180

40+100+(2×)=180

×=20

40+100+(2 (20))=180

140+40=180

140+40=180

Good luck.

Answer:

C. 70 cm

Step-by-step explanation:

Split all the shapes, so, the square would be:

4 × 10 = 40

---------------------------------------------------------------------------------------------------------------

Each triangle has an area of 7.5:

7.5 × 4 = 30

---------------------------------------------------------------------------------------------------------------

30 + 40 = 70

---------------------------------------------------------------------------------------------------------------

Have a good day :)

Answer:

70

Step-by-step explanation:

square= 40 (10x4)

two triangles= another square with smaller dimensions= 15

there are two more triangles on the other side so 15x2=30

30+40=70

Answer:

x=6, x=0

Step-by-step explanation:

[tex](x - 3) ^{2}[/tex]+ [tex](y - 2) ^{2}[/tex]= 25

[tex](x - 3) ^{2}[/tex]+ [tex](6 - 2) ^{2}[/tex]= 25

x=6, x=0

Answer:

[tex] {y}^{4} \times {y}^{8} = y8 + 4 = {y}^{12} [/tex]

answer: the answer is c

Answer:

Step-by-step explanation:

let girls be x

3/4=12/x(do cross multiplication)

12*4=3x

48/3=x

16=x

therefore there are 16 girls

Answer:

16 girls

Step-by-step explanation:

Set up a proportion. Let x = the number of girls.

3 / 4 = 12 / x

Cross multiply:

3x = 48

x = 16

Answer:

just plot the coordinates down on graph and then u'll have them graphed

Step-by-step explanation:

I don't know I'm too lazy 2 put an explanation