It Will Take 1 Man 6 Hours To Dig The Hole
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<u>Answer:
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Required five terms of sequence are 19 , 12 , 5 , -2 and -9 .
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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 .
Answer:
D)
Step-by-step explanation:
7x + 4 = 3x + 68
7x - 3x = 68 - 4
4x = 64
x = 64/4
x = 16
I Hope I've helped you.
Answer:
8,566,379,470 people
Step-by-step explanation:
Let's start simple. In order to find the population increase on January 1, 2006, we need to multiply 6,486,915,022 by 1.4% and add it to 6,486,915,022.
- 6,486,915,022*1.4% = 90,816,810.308
- 90,816,810.308+6,486,915,022 = 6,577,731,832.31 people on January 2006.
Note that the above two steps gives the same answer as 6,486,915,022*1.014.
So we need to do this for each year. 20 years pass between 1/1/2005 and 1/1/2025.
We need to do 6,486,915,022*1.014*1.014*1.014... 20 times.
This is equivalent to
.
Multiplying it out gives us 8566379470.2 = 8,566,379,470 people.
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