Answer:
20 percent
40 percent
20 percent
20(.008) percent
Step-by-step explanation:
6) 54 - 45 = 9
45 / 9 = 5
100 / 5 = 20
20 percent
7) 60 - 36 = 24
60 / 24 = 2.5
100 / 2.5 = 40
40 percent
8) 30 - 24 = 6
30 / 6 = 5
100 / 5 = 20
20 percent
9) 24.99 - 19.99 = 5
24.99 / 5 = 4.998
100 / 4.998 approx. = 20.008
20.008 percent (or rounded 20 percent)
Answer:
years 1–4: 62.4 bass per year
years 5–8: 67.6 bass per year
Step-by-step explanation:
If the population in year n is ...
p(n) = 3000·1.02^n
then the average rate of change from year 1 to year 4 is ...
(p(4) -p(1))/(4 -1) = 3000(1.02^4 -1.02^1)/3 = 1020·(1.02^3 -1) ≈ 62.4
The average rate of change for years 1–4 is 62.4 bass per year.
For years 5–8, the rate of change is similarly computed:
(p(8) -p(5))/(8 -5) = 3000(1.02^8 -1.02^5)/3 = 1000·1.02^5·(1.02^3 -1) ≈ 67.6
The average rate of change for years 5–8 is 67.6 bass per year.
Answer:
Step-by-step explanation:
|4x-3|=5√(x+4) ⇔ |4x-3|²=5²(√(x+4))² and x+4 ≥ 0
⇔ (4x-3)² = 25(x+4) and x+4 ≥ 0 ( because : /a/² = a²)
⇔16x²-24x+9 = 25x +100 and x+4 ≥ 0
⇔ 16x² -49x - 91 =0 and x+4 ≥ 0 quadratic equation
Δ = (-49)²-4(16)(-91) = 8225
two solution : X1 = (49-√8225)/32 ≅ - 1.3 accept (-1.3+4 ≥ 0)
X2 = (49+√8225)/32 ≅4.37 accept (4.37+4 ≥ 0)
