Answer:
The rule of the arithmetic sequence is 13 - 2n
The 30th term is -47
Step-by-step explanation:
∵ f(n) = 11 and g(n) = -2(n - 1) = -2n + 2
∴ f(n) + g(n) = 11 + -2n + 2 = 13 - 2n
Use n = 1 , 2 , 3 , 4 to check the type of the sequence
∵ n = 1 ⇒ 13 - 2(1) = 11
∵ n = 2 ⇒ 13 - 2(2) = 13 - 4 = 9
∵ n = 3 ⇒ 13 - 2(3) = 13 - 6 = 7
∵ n = 4 ⇒ 13 - 2(4) = 13 - 8 = 5
∵ 11 , 9 , 7 , 5 is an arithmetic sequence with difference -2
∴ The rule of the arithmetic sequence is 13 - 2n
∴ The 30th term = 13 - 2(30) = -47
Answer:
5750
710.7
Step-by-step explanation:
Simple interest = principal. * rate * time
Principal (p) = sum of money
1380 = p * 0.12 * 2
1380 = 0.24p
p = 1380 / 0.24
p = 5750 rupees.
The compound interest :
A = P(1 + r/n)^nt
A = final amount
n = number of compounding times per period
t = period
A = 5750(1 + 0.12/2)^2*1
A = 5750(1 + 0.06)^2
A = 5750(1.06)^2
A = 5750 * 1.1236
A = 6460.7
Hence, compound interest is :
Final amount - principal
6460.7 - 5750
= 710.7 rupees
Let length of rectangle=x and width be y
.`. area=x*y
now new length=x+12x/10=22x/10
width=y-y/5=4y/5
now .....
new area=new length-new width=22x/10*4y/5
new area=88xy/50
Answer:
y=-1/8
Step-by-step explanation:
Add 1/4 to -3/8
A tessellation has no A) gaps or overlaps, as a tessellation is all about repeated figures, which can be translated onto other figures, this produces a pattern.<span />
