Answer:
True
x = 4.32 (2 dp)
Step-by-step explanation:
x³ - 5x = 59
x³ - 5x - 59 = 0
x = 4
4³ - 5(4) - 59 = -15
x = 5
5³ - 5(5) - 59 = +41
A change in sign indicates the existence of root between 4 and 5
Use iterative process to identify the root
x³ - 5x - 59 = 0
x³ = 5x + 59
x = (5x + 59)^⅓
Start at any x between 4 and 5
x(n+1) = (5x(n) + 59)^⅓
x0 = 4.8
x1 = 4.362070671
x2 = 4.323369309
x3 = 4.319915667
x4 = 4.319607202
x5 = 4.318579649
Clearly x is 4.32 (2 dp)
Answer:
B
Step-by-step explanation:
Given
P_0=5642000000 people
Growth Rate=i=1.3%
Since the years will be counted from 1994
So for 2020 population:
n=26 years
Using the formula,
P_n= P_0 e^in
Putting the values,
P_n=(5642000000)*(2.71828)^(0.013*26)
P_n=(5642000000)*1.40214
P_n= 7910874921.6228
Rounding off to nearest million
P_n= 7911000000 people
If you mean fraction,
Tom: 2/3
Sam: 1/4
Now we change the denominator.
Tom: 6/12
Sam: 3/12
6/12 + 3/12 = 9/12
9/12 can be simplified, so 3/4 of the pie was eaten.
4/4 - 3/4 = 1/4
The answer is 1/4.
Length = x
width = y
2x + 2y = 32
x - y = 4
x = 4 + y
2(4+y) + 2y = 32
8 + 2y + 2y = 32
4y = 24
y = 6 cm (width)
x = 4 + 6
x = 10 cm (length)