Answer:
The height is 4.5ft
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Step-by-step explanation:
Given
yearly
Required
Determine the height in 3 years
First, we need to determine the growth equation.
Represent the height with h and the years with x
So:
To solve the required, we have that:
becomes
<em>Hence, the height is 4.5ft</em>
Answer:
(a) k=0.06217
(b)
(c) 556,755 is the population in 2012
Step-by-step explanation:
Population increased from 264,036 in 1990 to 491,675 in 2000.
Let assume , year 1990 as t=0
When t=0, population P = 264,036
When t=10, population P = 491,675
Exponential growth equation is P=P_0e^(kt)
is the initial population when t=0
So
When t=10, population P = 491,675
Plug in all the values and find out k
Divide both sides by 264036
To remove 'e' we take ln on both sides
The value of ln(e) = 1
Divide both sides by 10
k=0.06217
Exponential growth equation is
We know
Replace the value of k
Now , we find the population in 2012
For year 2012 , t= 12
So we plug on 12 for t and solve for P
P = 556755.09504
556,755 is the population in 2012
Answer
{-10, 9}
Step-by-step explanation:
The above are Simultaneous equations
<h2>What are simultaneous equations?</h2>These are two or more equations that share same variables.
8X + 10Y = 10--------(1)
5X + 4Y = -14-------(2)
<h3>Multiply equation (1) by 5 and equation (2) by 8</h3>40X + 50Y = 50 ---------(3)
40X + 32Y = - 112--------(4)
<h3>Subtract equation (4) from (3)</h3>18Y = 162
<h3>Divide bothsides by 18</h3>40X + 50Y = 50
40X + 50(9) = 50
40X + 450 = 50
40X = 50 - 450
40X = - 400
<h3>{-10, 9}