In the year 2000, the population of a city was 600,000 citizens. The population increases at a rate of 1.8% per year.
2 answers:
SOS
Answer:
a) 600,000 (1.018)ᵗ, the graph is below:
* "t" is the years. 2000 is the first year, so "t" would be 1. 2012 is the 12th year so "t" would be 12.
b) As the years go by, the population increases. The years (X), and population (Y) both increase together. The graph shows that when the years increase the population increases.
c) In 2012, which would be 12 years later, I predict the population would be around 743,232 people.
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PART A:
Scientific notation is given in the form of
Where
is a value in unit and 
is an integer
<span>0.000025 is not a unit number [the number before the decimal point is of zero value]
0.000025 = 2.5 </span>÷ 100,000
100,000 can be written as 10⁵
0.000025 = 2.5 ÷ 10⁵ ⇒ to write this in form of multiplication form, we change 10⁵ to 10⁻⁵
0.000025 = 2.5 × 10⁻⁵
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PART B:
<span>
The diameter of a grain of sand </span>÷<span> the diameter of the average cell in the human body
= [2</span>×10⁻⁴] ÷ [1×10⁻⁵]
= [2÷1] × [10⁻⁴×10⁻⁵]
= 2×10 ⁽⁻⁴ ⁻ ⁽⁻⁵⁾⁾ = 2 × 10¹
= 20
<span>
answer: 20 times bigger
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PART C
Diameter of average cell in human body = 1 </span>× 10⁻⁵ meter
1 meter = 1 × 10⁹ nanometer
1 × 10⁻⁵ meter = [1 × 10⁻⁵] × [1 × 10⁹] = 1 × 10⁽⁻⁵⁺⁹⁾ = 1 × 10⁴ = 10000 nanometer
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PART D
1 meter = 1 × 10⁹ nanometer
300 nanometer = 300 ÷ [1 × 10⁹] = [3×10²] ÷ [1×10⁹] = [3÷1] × [10²÷10⁷] = 3 × 10⁻⁵
Answer: 3 × 10⁻⁵ meter
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PART E
Laws of exponents that are used in scientific notation is
Scientific notation is given in the form of
Where
<span>0.000025 is not a unit number [the number before the decimal point is of zero value]
0.000025 = 2.5 </span>÷ 100,000
100,000 can be written as 10⁵
0.000025 = 2.5 ÷ 10⁵ ⇒ to write this in form of multiplication form, we change 10⁵ to 10⁻⁵
0.000025 = 2.5 × 10⁻⁵
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PART B:
<span>
The diameter of a grain of sand </span>÷<span> the diameter of the average cell in the human body
= [2</span>×10⁻⁴] ÷ [1×10⁻⁵]
= [2÷1] × [10⁻⁴×10⁻⁵]
= 2×10 ⁽⁻⁴ ⁻ ⁽⁻⁵⁾⁾ = 2 × 10¹
= 20
<span>
answer: 20 times bigger
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PART C
Diameter of average cell in human body = 1 </span>× 10⁻⁵ meter
1 meter = 1 × 10⁹ nanometer
1 × 10⁻⁵ meter = [1 × 10⁻⁵] × [1 × 10⁹] = 1 × 10⁽⁻⁵⁺⁹⁾ = 1 × 10⁴ = 10000 nanometer
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PART D
1 meter = 1 × 10⁹ nanometer
300 nanometer = 300 ÷ [1 × 10⁹] = [3×10²] ÷ [1×10⁹] = [3÷1] × [10²÷10⁷] = 3 × 10⁻⁵
Answer: 3 × 10⁻⁵ meter
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PART E
Laws of exponents that are used in scientific notation is
Answer:
The common difference is -4/3.
Step-by-step explanation:
Recall that the direct formula for an arithmetic sequence is given by:
Where <em>n</em> is the <em>n</em>th term, <em>a</em> is the initial term, and <em>d</em> is the common difference.
We are given that the first term <em>a</em> is 31.
We also know that the 28th term is -5. Hence, <em>x</em>₂₈ = -5. Substitute:
Solve for <em>d</em>. Simplify:
Thus:
Divide both sides by 27. Hence, the common difference is: