does the function represent growth or decay?
By what percentage does the population change each year?
Answer:
Step-by-step explanation:
Equation to calculate population size after time, t
P(t) = 280(1.29)^t
P(0) = 280(1.29)^0
= 280(1)
= 280
P(1) = 280(1.29)^1
= 280(1.29)
= 361.2
Its means that after a year population increases. Hence, function represent growth.
(361.2 - 280 / 280) * 100%
= 29 %
Answer:
280
function represent growth.
29 %
8 + 4n = 112
8 x 4 + n = 112
8(4 + n) = 112
An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
The equation that is used to solve the number for the statement "the product of 8 and the sum of 4 and a number is 112" is
8(4 + n) = 112.
The number n is 10.
Option C is the correct answer.
An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
3x + 4 = 5 is an equation
3x + 9 is an equation.
We have,
The product of 8 and the sum of 4 and a number is 112.
Let the number be n.
We can write as:
8 x (4 + n) = 112 _____(1)
8 x 4 + 8 x n = 112
32 + 8n = 112
Subtract 32 on both sides.
8n = 112 - 32
8n = 80
Divide both sides by 8.
n = 10
The number is 10.
We can cross-check
8 x (4 + 10 ) = 112
8 x 14 = 112
112 = 112
Proved.
Thus,
The equation that is used to solve the number for the statement "the product of 8 and the sum of 4 and a number is 112" is
8(4 + n) = 112.
The number n is 10.
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