Answer:
time = 28 years
Step-by-step explanation:
Given,
principal amount = $10,000
rate = 4%
total amount = $30,000
According to compound interest formula
where, A = total amount
P = principal amount
r = rate
t = time in years
so, from the question we can write,
by taking log on both sides, we will get
=> log3 = t.log(1.04)
=> t = 28.01
So, the time taken to get the amount from 10000 to 30000 is 28 years.
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
Answer:
x=40
Step-by-step explanation:
Angle Formed by Two Secants= 1/2(DIFFERENCE of Intercepted Arcs)
x = 1/2(120-40)
x = 1/2(80)
x = 40
Answer:
60.666667
Step-by-step explanation:
Answer:
7. 1/10 or 10%
9.5/10
11.5/10
13.9/10
Step-by-step explanation:
