Answer:
2308.5
Step-by-step explanation:
Multiply and divide by 2
Answer:
The function is maxima at x = 0.
Step-by-step explanation:
the function is
Differentiate with respect to x.
So, the function is maima at x = 0 .
we know that given terms were i geometric progression.
which means common ratio is same between two consecutive terms .
here we have 8,40,200,1000.
we know that common ratio =second term/first term =40/8=5.
so each and every terms is multiplied by 5 to get next term for this series the term after 1000 is 5000 =1000*5.
in part b we have another series which is having common ratio of -2.
so we need to multiply with -2 to find next term.
80*(-2)=-160.
for part c the common ratio is -2 .
so we need to multiply with -2 *previous term =-2*16 =-32.
Answer:
48.5cm²
Step-by-step explanation:
The figure is can be divided into 3 parts:
The square, The rectangle and The triangle
We will be finding the area of each shape.
The square: Area = length * length
Length of square = 3. Area = 3 cm * 3 cm = 9 cm²
The rectangle: Area = length * breadth
Length = 8 cm; Breadth = 4 cm. Area = 8 cm * 4 cm = 32 cm²
The triangle: Area = 0.5 * height * base
Height = 5 cm; Base = 3 cm. Area = 0.5 * 5 * 3 = 7.5 cm²
Base is the shorter side of the triangle that is not the diagonal side (hypotenuse). It is gotten by subtracting the given length of the bottom part of the figure which is 4 cm from the top part of the figure which is 7 cm and it is also the other side of the square that is not given.
Height is the longer side of the triangle that is not the hypotenuse.
It is gotten by subtracting the given length of the right side which is 3 cm from the given length of the left side of the figure which is 8 cm.
Base and height can be used interchangeably.
Adding all the areas together: 9 + 32 + 7.5 = 48.5 cm²
First find the rate of growth
The formula is
P=Ae^rt
P 99 million
A 94 million
E constant
R rate of growth?
T time 1,999−1,993=6 years
Solve the formula for r
R=[log (p/A)÷log (e)]÷t
R=(log(99÷93)÷log(e))÷6
R=0.01
the population in 2005
P=Ae^rt
T time 2,005−1,993=12 years
P=93×e^(0.01×12)
P=105 million