Answer:

Step-by-step explanation:

Year 1: 2,000 x 3% = 60 2,000 + 60 = 2,060 Year 2: 2,060 x 3% = 61.8 2,060 + 61.8 = 2,121.8 So, the answer is there will be £2,121 in the bank account after 2 years.
Answer:
D. Graph D
Step-by-step explanation:D. Graph D
Step-by-step explanation:
We know that, 'Direct Variation or Directly Proportional' is relationship between two variables where one is a constant multiple of the other.
That is, if one variable changes, the other variable also changes in proportion to the first variable.
The general form of 'Direct Variation' is y = kx, where k is a constant i.e. it does not have a y-intercept.
Now, according to our options, we see that the figures of A,B,C are the graphs of the straight lines given by y =-2x+2 , y=2x+2, y=-2x+2 respectively.
Each of these three equations have y-intercept, therefore cannot be the equations of a direct proportion.
Now, in option D, the figure is the graph of straight line y = -x and has no y-intercept.
Hence, the linear function in Graph D shows a direct proportion.
Answer:
Total Cost of tile = $273.28
Step-by-step explanation:
From the given information:
Let the width be = x
Then, the length of the rectangular kitchen is L = 3x - 9
The perimeter is = 6x
Suppose the cost of the tile = $1.69 a square foot.
Then the total costs to tile the kitchen is calculated as follows:
The Perimeter of the rectangle = 2(L + b)
The Perimeter of the rectangle = 2(3x - 9 + x)
The Perimeter of the rectangle = 2(4x-9)
6x = 8x - 18
- 2x = - 18
x = 18/2
x = 9
Thus, the width = x = 9 ft
the length = 3x - 9 = 3(9) - 9
the length = 27 - 9
the length = 18 ft
Area = L × W
Area = (18 × 9)ft
Area = 162 sq. ft.
Cost of a Tile = $1.69 per sq. ft.
Thus;
Total Cost of tile = $1.69 × 162
Total Cost of tile = $273.28
Step-by-step explanation:
Is this the graph you needed??
The dots are the shaded region