Answer:
Step-by-step explanation:
<u>Exponential Decay Function</u>
The exponential function is often used to model natural decaying processes, where the change is proportional to the actual quantity.
An exponential decaying function is expressed as:
Where:
C(t) is the actual value of the function at time t
Co is the initial value of C at t=0
r is the decaying rate, expressed in decimal
Depreciation is often modeled as an exponential decay function. Since Jim bought a skateboard for Co=$200, its value will depreciate by r=15% = 0.15 each year since buying it.
The exponential model for this situation is:
Operating, the function is:
Answer: it shoudl be 5x - 9
Step-by-step explanation:7x - 14 - 2x + 6
but tbh im not sure
When discussing "greater" and "lesser", the term "greater" means
'more positive'. So although 7 is a bigger number than 6 ... that is
7 has the bigger absolute value ... -6 is more positive than -7, so
-6 is the 'greater' of those two numbers.
He invested two unknown amount that add to $1200.
Let the amount invested at 9% be x.
Let the amount invested at 3% be y.
The amounts add to $1200.
x + y = 1200 First Equation
The profit from the 9% part is 0.09x.
The profit from the 3% part is 0.03y.
The two profits add to $78.
0.09x + 0.03y = 78 Second Equation
We have two equations in two unknowns, so we can solve this problem as a system of equations.
x + y = 1200
0.09x + 0.03y = 78
Multiply the first equation by -0.09 and add to the second equation.
-0.09x - 0.09y = -108
0.09x + 0.03y = 78
----------------------------
-0.06y = -30
Divide both sides by -0.06
y = 500
Now we substitute 500 into y in the first equation.
x + y = 1200
x + 500 = 1200
x = 700
Answer: The amount invested at 9% is $700
Answer:
x = 3 twice
Step-by-step explanation:
x^2 = 6x - 9
Rewrite by subtracting 6x from both sides and add 9 to both sides.
x² - 6x + 9 = 0
Factorise by finding factor of +9 that add up to -6
These factors are -3 and -3 that is
-3 -3 = -6 and -3×-3 = 9
Rewrite equation
x² - 3x - 3x + 9 = 0
x ( x-3) -3(x -3) = 0
Therefore
(x -3)(x-3) = 0
x - 3 = 0 or x - 3 = 0
x = 3 or x = 3
x = 3 twice
I hope this was helpful, please rate as brainliest