11/15 + 7 ⇒ rational ⇒ the sum of two rationals is always rational
√14+13 ⇒ irrational ⇒ the sum of a rational and an irrational is always irrational
30×√6 ⇒ irrational ⇒ the product of a nonzero rational and an irrational is always irrational
11/12 × 7/15 ⇒ rational ⇒ the product of two rationals is always rational
Answer:
- (C)The common ratio is –2.0
Step-by-step explanation:
<u>Given sequence:
</u>
This is not AP as the difference in terms is not common
<u>This is GP with the common ratio of -2 as:</u>
- -19.2/9.6 = 9.6/ -4/8 = -4.8/2.4 = -2
Correct choice is (C)
There is no background information on this
The first month has the equation raised to 11 which is the number of months left in the period.
So each month the equation would be the same except it would be raised to 1 less than the previous month.
Month 2 = 50(1.003)^10
Month 3 = 50(1.003)^9
Month 4 = 50(1.003)^8
Month 5 = 50(1.003)^7
Month 6 = 50(1.003)^6
Month 7 = 50(1.003)^5
Month 8 = 50(1.003)^4
Month 9 = 50(1.003)^3
Month 10 = 50(1.003)^2
Month 11 = 50(1.003)^1
Month 12 = 50(1.003) ( the last month would not be raised to anything)
Answer:
Step-by-step explanation:
1) 7x - 14 = 2x + 11 {Add 14 to both sides}
7x - 14 +14 = 2x + 11 +14
7x = 2x + 25
7x - 2x = 2x + 25 - 2x
5x = 25 {Divide both sides by 5}
5x/5 = 25/5
x = 5
2) 6x + 5 = 3x + 14
6x = 3x + 14 - 5
6x = 3x + 9
6x - 3x = 9
3x = 9
x = 9/3
x = 3
3) 12x + 5 = 4x +37
12x = 4x + 37 - 5
12x = 4x + 32
12x - 4x = 32
8x = 32
x = 32/8
x = 4
4) 3x + 8 = 2x + 21
3x = 2x + 21 - 8
3x = 2x + 13
3x - 2x = 13
x = 13
5) 5x + 3 = x + 11
5x = x + 11 -3
5x = x + 8
5x - x = 8
4x = 8
x= 8/4
x = 2
