Answer:
<em>T5 = 512</em>
Step-by-step explanation:
Given the sequence
2,8, 32, 128,...
The sequence is a geometric progression
nth term of a geometric progression is expressed as:
Tn = ar^n-1
a is the first term = 2
n is the number of terms = 5 (next term is the 5th term)
r is the common ratio = 8/2 = 32/8 = 4
Substitute and get the fifth term
T5 = 2(4)^5-1
T5 = 2(4)^4
T5 = 2*256
<em>T5 = 512</em>
<em>Hence the next term is 512</em>
1. Y-Intercepts are where the graph crosses the y-axis. For a parabola, this occurs once, at (0, -3) in the graph shown.
2. X-Intercepts are where the graph crosses the x-axis. For a parabola, this occurs twice, at (-1, 0) and (3, 0) in the graph shown.
3. A parabola that is positive opens upwards, while a parabola that is negative opens downwards. Therefore, this parabola is positive.
Hope this helps!! :)
Answer: 4,000
Step-by-step explanation:
The only logical choice there because of the rate of others
Answer:
Shopkeepers gain just by weighing is 22.22%
Step-by-step explanation:
Explanation:
Assume that the shopkeeper bought x units of goods i.e. actual weight of goods.
As the balance used to buy goods weighs 10% more, he actually bought x×110100=1.1x weight units i.e. although the shopkeeper paid for x units, he actually bought 1.1x units by weight.
Now he has 1.1x units of goods, but for selling he uses another balance, which actually measures 10% less i.e. 1−0.10=0.9 units for each unit weight of goods sold.
So while selling 1.1x becomes 1.1x0.90=1.2222... units.
Hence, shopkeepers gain just by weighing is 22.22%
