Answer:
Option B
Step-by-step explanation:
The absolute value of a number is how far a number is from zero. We can use ' | | ' to represent the absolute volume of a number. The distance, or absolute value, of -8 is 8.
We can represent this by writing:
|-8| = 8
Option B should be the correct answer.
Although the number of new wildflowers is decreasing, the total number of flowers is increasing every year (assuming flowers aren't dying or otherwise being removed). Every year, 25% of the number of new flowers from the previous year are added.
The sigma notation would be:
∑ (from n=1 to ∞) 4800 * (1/4)ⁿ , where n is the year.
Remember that this notation should give us the sum of all new flowers from year 1 to infinite, and the values of new flowers for each year should match those given in the table for years 1, 2, and 3
This means the total number of flowers equals:
Year 1: 4800 * 1/4 = 1200 ]
+
Year 2: 4800 * (1/4)² = 300
+
Year 3: 4800 * (1/4)³ = 75
+
Year 4: 4800 * (1/4)⁴ = 18.75 = ~19 (we can't have a part of a flower)
+
Year 5: 4800 * (1/4)⁵ = 4.68 = ~ 5
+
Year 6: 4800 * (1/4)⁶ = 1.17 = ~1
And so on. As you can see, it in the years that follow the number of flowers added approaches zero. Thus, we can approximate the infinite sum of new flowers using just Years 1-6:
1200 + 300 + 75 + 19 + 5 + 1 = 1,600
Remember you said the scale shows you 10% heavier.
So that's an increase of 10%
So value = 10% + 100% = 110%
So scale would show 110% of 82
110% of 82
= (110/100) * 82
= 1.1 * 82
= 90.2
OR
We can simply find 10% of 82 and add it to the original 82.
10% of 82
(10/100) * 82
0.1 * 82 = 8.2
8.2 + 82 = 90.2 Same answer as before.
So scale shows 90.2 kg.
Answer:
<u><em>3544.392</em></u>
Step-by-step explanation:
The value of the total number of population is P=2000The value of the rate of interest isR%=4.5%The value of the time is T=13yrs
For compounded annually
n=1
The expression for the final value of the population after
13years is,A=2000(1+4.5100)13=3544.392
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