Answer:
24/49
Step-by-step explanation:
Let's add the terms and see if there's a pattern
Suppose we say the sum of n terms is (n/(2n+1)), the next term in the series will be 1/((2n+1)(2n+3)) and adding that to the presumed sum gives ...
Then it appears the sum of n terms is (n/(2n+1)). So, the sum of 24 terms is ...
Answer:
C) 8 and 9
Step-by-step explanation:
We know that 70 is between two perfect squares.
The square numbers 64 and 81 can help us solve this question.
64<70<81
We take square root to get:
We simplify this to get:
Therefore √70 is between 8 and 9.
The correct option is C.
In this question, there are 10 digit phone number which was divided into 3-3-4 digits. Every first digit of the division should be 2-9 which mean only 8 possibilities. The other digits would be 0-9 which mean 10 possibilities. Then the calculation would be:
8*10*10 * 8*10*10 * 8*10*10*10 = 8^3 * 10*7= 512 * 10^7= 5.12 * 10^9
If you convert <span>400,000,000 into the scientific form it will become 4* 10^8. Since 5.12*10^9 > 4 * 10^8, then it is clear that the number should be enough</span>
Answer:
- Translation
Step-by-step explanation:
Movement of a rigid object from one place to another without any turning is "translation." If the object also changes its orientation angle, then rotation is involved.
Answer:
788.13 to the nearest hundredth.
Step-by-step explanation:
Let A be the total amount in the account after 3 years.
The formula is A = P(1 + x/100)^t .
Here P = 5000, x = 5 % and the time t = 3. years.
Amount after 3 years = 5000(1 + 5/100)^3
= 5788.13
So the Interest is 5788.13 - 5000
= 788.13.
