Answer:
The bottle was 1/2 full at 11:35 a.m. and doubled again after 5 minutes.
The bottle was 1/4 full at 11:30 a.m. and doubled twice after 10 minutes.
Exponential growth involves a constant multiplicative rate of change.
Step-by-step explanation:
All that apply in the statements are as follows:
(a) The bottle was ½ full at 11:35 a.m. and doubled again after five minutes, which indicates that the bottle doubled at 11:40 am
(b) The bottle was ¼ full at 11:30 a.m. and doubled twice after 10 minutes. These means that the bottle was ½ full at 11:35 a.m. (i.e. five minutes ago the bottle was at ¼ full at 11:30 am, after five minutes, the which is was ½ full at 11:35 am but later became full at 11:40 am)
(c) Exponential growth involves a constant multiplicative rate of change (1.e. the rates of growth is twice every five minutes)
There are a couple of ways you can go at this. One way is to look at the price multipliers. For a markdown of d, the price is multiplied by 1-d. For a markup of u, the price is multiplied by 1+u. Your original price is multiplied by ...
35% markdown: (1 - 0.35) = 0.65
25% markdown: (1 - 0.25) = 0.75
18% markup: (1 + 0.18) = 1.18
15% markdown: (1 - 0.15) = 0.85
The product of all these multipliers is
0.65×0.75×1.18×0.85 = 0.4889625
As you note, $5600×0.4889625 = $2738.19.
Since this multiplier is 1-d, we can find d as
1 - d = 0.4889625
d = 1 - 0.4889625 = 0.5110375
The markdown percentage is this number times 100%:
markdown% ≈ 51.1%
_____
Alternatively, you can work with your final value to find the percentage change from the original.
percent change = ((final value) - (original value))/(original value) × 100%
= (2738.19 - 5600)/5600 × 100%
= -2861.81/5600 × 100%
= -0.5110375 × 100% . . . . . . . this should look familiar
percent change ≈ -51.1%
When the change is negative, it is a markdown (not a markup).
The markdown is 51.1%.
Answer: this is the answer
Step-by-step explanation:
Answer:
790cm
Step-by-step explanation:
1m=100cm
