The value of a car after 10 years be $20898.27 if the car rental company assumes each car in their fleet depreciates by 6% per year option (a) $20898.27 is correct.
<h3>What is an exponential function?</h3>
It is defined as the function that rapidly increases and the value of the exponential function is always a positive. It denotes with exponent 
where a is a constant and a>1
We can solve this problem by exponential function:
The word depreciate means the price is decreasing.
We can find the value be when the car is 10 years old:
p = 38800(1 - 0.06)¹⁰
p = 38800(0.94)¹⁰
p = 20898.266 ≈ $20898.27
Thus, the value of a car after 10 years be $20898.27 if the car rental company assumes each car in their fleet depreciates by 6% per year option (a) $20898.27 is correct.
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Answer:
Use y + x = 3 and solve for either x or y.
Step-by-step explanation:
Substitution is a method to solve a system of equations by substituting an expression from one equation into the other.
To begin, first solve one equation by isolating for one variable. Choose the equation which will have the least number of steps to do so.
y + x = 3 can be solve for x or y by subtracting the other variable. Since this only requires one step use this equation. Either variable can be used.
Answer:
One solution. (x,y) = (-5,25)
Step-by-step explanation:
y = -5x
x + y = 20
x + (-5x) = 20
-4x = 20
x = -5
y = -5 (-5)
y = 25
Therefore the hour hand travels 40.192in in 5 hours
<h3>
How to calculate the area of a sector</h3>
A sector is said to be a part of a circle made of the arc of the circle along with its two radii.
The formula for calculating the area of a sector is expressed as;
A = r²β/2
where
r is the radius of the circle
β is the angle subtended
Since the the hour hand travel during 5 hours, the subtended angle by the sector will be;
β = 360/5
β = 72 degrees
Given the following parameters
r = 16/2
r = 8in
Substitute into the formula
A = 8²(72π)/360
A = 40.192in
Therefore the hour hand travels 40.192in in 5 hours
Learn more on area of a sector here: brainly.com/question/22761976
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Answer:
Yes
Step-by-step explanation:
Yes
