Using an exponential function, it is found that it takes 5.42 years for the car to halve in value.
<h3>What is an exponential function?</h3>
A decaying exponential function is modeled by:
In which:
- A(0) is the initial value.
- r is the decay rate, as a decimal.
In this problem, the car depreciates 12% a year in value, hence r = 0.12 and the equation is given by:
.
It halves in value at t years, for which A(t) = 0.5A(0), hence:
t = 5.42.
It takes 5.42 years for the car to halve in value.
More can be learned about exponential functions at brainly.com/question/25537936
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Answer:
4⁻⁴
Step-by-step explanation:
4⁵ × 4⁻⁷ ÷ 4⁻²
⁺ ⁵ ⁻ ⁷
= ⁻²
⁻ ² ⁻ ²
= ⁻ ⁴
4⁻⁴
1) Slope tell about the steepness of the line.
To find slope we look at the rise and run between 2 points.
attached the graph of line with slope
slope = 
= 
So slope = 2
2) we have x and y intercepts
x intercept is the point where the line crosses x axis
x intercept at x= 3
y intercept is the point where the line crosses y axis
y intercept at y= 6
3) Linear equation is y= 3x+2
function is f(x) = 3x+2
We can graph it using slope and y intercept
In f(x)= 3x + 2 , slope =3 and y intercept = 2
slope = 3, rise = 3 and run =1
The graph of f(x)= 3x+2 is attached below.
The given partial fraction divided by the fraction of sugar in a scoop is
equal to multiplying the partial fraction by the reciprocal of the fraction.
- The number of scoops of sugar needed is <u>10 scoops</u>.
Reasons:
The amount of sugar the recipe Emma is making needs = 2 1/2 cups
Amount of sugar in each scoop of sugar = 1/4 cups
Required:
The amount of scoops Emma needs to add for the entire recipe
Solution:
The amount of sugar needed = 2 1/2 cups
Amount of sugar per scoop = 1/4 cups/scoop
Therefore;
Which gives;
Therefore;
The number of scoops she needs for the entire recipe is <u>10 scoops</u>
Learn more about division by fractions here:
brainly.com/question/20591763
Answer:
the clearence price would be 12.60
Step-by-step explanation:
