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
log was used calculate big numbers before calculators
log is a re-arranged way to show a number with an exponent
example
log₂ 16 = 4 means 2^4 = 16
logx(Z) = y means x^y=Z
log(x-6)/log(2) + log(x)/log(2) = 4
(log(x-6)+ log(x))/log(2) = 4
(log(x-6)+ log(x)) = 4log(2)
(log(x-6)x) = log(16)
x=8
Given:
The value is:
To find:
The smallest positive degree angle measure equivalent to .
Solution:
We have,
Using the scientific calculator, we get
Therefore, the smallest positive degree angle measure equivalent to is 23 degrees.
Answer:
The apricots are less expensive per pound.
Step-by-step explanation:
Cost of 1 pound of almonds = 21.98/2
Cost of 2 pounds of almonds = $21.98
So then you have to do 21.98 - 21.98/2. Which equals $10.99
Cost of 1 pound of dried apricots = 26.25/3
Cost of 3 pounds of dried apricots = $26.25
So then you have to do $26.25 - 26.25/3 which = $17.5 then divide that by 2 which equals $8.75.
To find out how much less expensive you have to find the difference, so to do that you have to do $10.99 - $8.75 = $2.24 per pound less expensive.
Answer: 4.5kg = 9.9208lbs
4.5kg = 158.733oz
