Answer:
The 9th term for given sequence is 16.777
Therefore the 9th term is .
Step-by-step explanation:
Given first three terms of a sequence are 100,80,64,...
Given , , ,...
Given sequence is of the form of Geometric sequence
Therefore it can be written as
therefore a=100 , ar=80 , ,...
To find common ratio
Therefore
The nth term of the geometric sequence is
To find the 9th tem for the given geometric sequence is
put n=9, a=100 and
Therefore
The 9th term is 16.777
76 divided by 5 is 15.2 or (if you are needed a remainder) 15 r1
Answer: The balance in the account increases at a rate of 2.5%
Step-by-step explanation:
The balance in the account after x years is modeled by
b (x) = 850(1.025)x
In another form
b(x) = 850(1 + 25%)^x
Where
850 = initial deposit
25% = Interest rate
"+" sign signifies the increase
Therefore the balance in the account increases at a rate of 2.5%
Answer:
0 <x> 18
Step-by-step explanation:
Step 1 :
Equation at the end of step 1 :
(4 • (x - 9) + 6) - 42 > 0
Step 2 :
Step 3 :
Pulling out like terms :
3.1 Pull out like factors :
4x - 72 = 4 • (x - 18)
Equation at the end of step 3 :
4 • (x - 18) > 0
Step 4 :
4.1 Divide both sides by 4
Solve Basic Inequality :
4.2 Add 18 to both sides
x > 18