(f o g)(x) = 2(5x + 1) - 6 = 10x - 4
(g o f)(x) = 5(2x - 6) + 1 = 10x - 29
So (f o g)(x) produces the greatest output.
<u>Answer:
</u>
Required five terms of sequence are 19 , 12 , 5 , -2 and -9 .
<u>
Solution:
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Need to find the five terms of the sequence.
Given recursive rule is f(x) = f(x-1) -7
Substituting x = 2 , f(2) = f(2-1)-7
= f(2) = f(1) – 7 ------(1)
Also given that f(2) = 12.
On substituting the given value of f(2) in eq (1) we get
12 = f(1) – 7
f(1) = 12 + 7 = 19
Using given recursive rule and given value of f(2) calculating f(3)
Substituting x = 3 ,
f(3) = f(3-1) – 7
= f(2) – 7
= 12 – 7
= 5
Using given recursive rule and calculated value of f(3) calculating f(4)
Substituting x = 4,
f(4) = f(4-1) – 7
= f(3) – 7
= 5– 7
= -2
Using given recursive rule and calculated value of f(4) calculating f(5)
Substituting x = 5,
f(5) = f(5-1) – 7
= f(4) – 7
= -2– 7
= -9
Hence required five terms of sequence are 19 , 12 , 5 , -2 and -9 .
4.80 = 100%
x = 55%
Cross Multiply
100 * x = 55 * 4.80
100x = 264
x = <u>264</u>
100
x = 2.64
Solution: $2.64
Answer:
1,100,000
Step-by-step explanation:
20000 + 22(20000) + 32 (20000)= 55 (20000)= 1,100,000
Answer: A) $120,953
Step-by-step explanation:
The formula to calculate the compound amount (semi-annually):-
, where P is principal amount , r is rate of interest and n is the number of time periods.
Given : Principal amount : P= $90,000
Rate of interest : 6% per annum = 0.06 per annum
Time period : n= 5 years
Hence, the ABC will have $ 120,953 in the account after five years if interest is reinvested.
