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umka21 [38]
3 years ago
5

PLEASE HELP! Given the following equation of an exponential function N= 40.25(1.0394)^t determine the base, b, of the exponentia

l model. Is the base
Mathematics
1 answer:
NeTakaya3 years ago
5 0
The exponential equation in its generic form is:
 y = A * (b) ^ t
 Where,
 A: initial amount
 b: base (Growth rate for b> 1. Decrease rate for b <1.)
 t: time.
 We have then that the equation is:
 N = 40.25 (1.0394) ^ t
 The base is:
 b = 1.0394> 1 (it is a growth rate)
 Answer:
 
The base, b, of the exponential model is:
 
b = 1.0394
 the base is a growth rate
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ElenaW [278]
<h2>Answer</h2>

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Or as ordered pairs: (\sqrt{6} ,0),(-\sqrt{6} ,0),(\sqrt{5} ,-1),(-\sqrt{5} ,-1)

<h2>Explanation</h2>

Lets solve our system of equations  step by step

x^2+y^2=6 equation (1)

x^2-y=6 equation (2)

1. Solve for x^2 in equation (2)

x^2-y=6

x^2=6+y equation (3)

2. Replace equation (3) in equation (1) and solve for y

x^2+y^2=6

6+y+y^2=6

y^2+y=0

y(y+1)=0

y=0 or y=-1

3. Replace the values of y in equation (3) and solve for x

- For y=0

x^2=6+y

x^2=6

x=\sqrt{6} or x=-\sqrt{6}

- For y=-1

x^2=6+y

x^2=6-1

x^2=5

x=\sqrt{5} or x=-\sqrt{5}

So, the solutions of our system of equation are:

x=\sqrt{6}, y=0\\ x=-\sqrt{6} , y=0\\x=\sqrt{5} , y=-1\\x=-\sqrt{5} , y=-1

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