Exponential Growth and Decay
Mandy bought a townhouse in 2000, for $40,000. Each year the value depreciated by 11%. How much would the house be in 2002, to the nearest hundred dollars?
(1-r)=(1-0.11)=(0.99)
2002: 39,204
What is the Domain of this graph?
All Real Numbers
7x2-3x+4=16
Solve using the quadratic formula to the nearest hundredth.
x= 1.11 and -1.11
In 2020, A car dealership made $500,000 in profit. After 2 years the profit amount increased by 20%. What would be the profit amount by 2022?
In 2022, they made $600,000
What is the Range of this graph?
(0,positive infinite)
x2+4x=21
Solve using factoring
x=3 or x=-7
During Covid(2020), Walmart made $3.2 million in profit. Every year after, their profit increased by 50%. In 2030, how much money would Walmart have made?
By 2030, Walmart will have made $184528125
What is the vertex of this graph? (in coordinates)
(13,0)
Define the vertex of a quadratic graph.
The maximum or minimum of a parabola.
In 1990, Nike made $200,000 in profit. Every ten years, the profit increased by 60%. In 2040, how much money would nike have made?
By 2040, Nike will have made 3.2138761e+15
What is the standard format of the equation below?(simplify it)
(x+20)(7x-3)=0
7x^2+137x-60=0
How do you simplify this quadratic equation in factored form?
(x+5)(3x+10)=0
3x2+25x+50
Chris bought a new car for $20,000. The value of the car decreases exponentially (depreciates) at a rate of 8% per year. Then what is the value of the car after 5 years? Solve this by using exponential formulas and round your answer to the nearest two decimals.
$13,181.63
What is the difference between terms variables?
A term can be a number, a variable, product of two or more variables or product of a number and a variable.
x2 - 12x + 32 = 0
solve this equation using factoring.
{8 , 4}