Answer:
Step-by-step explanation:
a) We would use the formula for exponential growth model which is expressed as
y = b(1 + r)^t
Where
y represents the population after t years.
t represents the number of years.
b represents the initial population.
r represents rate of growth.
From the information given,
b = 5655
r = 1.4% = 1.4/100 = 0.014
Therefore, the equation would be
y = 5655(1 + 0.014)^t
y = 5655(1.014)^t
b) in 2022, t = 2022 - 2010 = 12 years
y = 5655(1.014)^12
y = 6682
Answer:
Ram studied for longer time
Step-by-step explanation:
An hour = 60 minutes
Raj studied for 4/7 of an hour
= 4/7 of 60 minutes
= 4/7 × 60
= (4×60)/7
= 240/7
= 24.29 minutes
ram studied for 5/8 of an hour
= 5/8 of 60 minutes
= 5/8 × 60
= (5×60)/8
= 300/8
= 37.5 minutes
who studied for longer time?
Ram - Raj
= 37.5 - 24.29
= 13.21 minutes
Ram studied for longer time
Ram studied 13.21 minutes longer than Raj
Number of outcomes of rolling a die = 6
Number of outcomes from the spinner = 8
First we have to draw the 6 leaves to represent the 6 outcomes of rolling the die. Next on each of these leaves 8 possible outcomes of the spinner will be drawn using leaves.
So 6 leaves are being divided into further 8 leaves.
Thus total number of leaves will be = 6 x 8 = 48 leaves
Therefore, the correct answer is option D
Answer:
44 in²
Step-by-step explanation:
The figure is composed of a triangle, a rectangle and a trapezium.
Area of the triangle = 
bh = × 3 × 4 = 6 in²
Area of the rectangle = lb = 10 × 3 = 30 in²
Area of trapezium = h (a + b)
where h is the height and a, b the parallel bases, thus
area of trapezium = × 2 × (5 + 3) = 1 × 8 = 8 in²
Total area = 6 in² + 30 in² + 8 in² = 44 in²
Answer:
10
Step-by-step explanation:
2x - 3y = 24 ------ (1)
3x + 4y = 2 ------ (2)
(1) × 4,
8x - 12y = 96 ------ (3)
(2) × 3,
9x + 12y = 6 ------ (4)
(3) + (4)
17x = 96 + 6
= 102
x = 102 ÷ 17
= 6
Sub x = 6 into (2),
3(6) + 4y = 2
18 + 4y = 2
4y = 2 - 18
= -16
y = -16 ÷ 4
= -4
Therefore,
x - y = 6 - (-4)
= 6 + 4
= 10
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