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.
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Answer:
22.12feet
Step-by-step explanation:
the ladder becomes your hypotenuse,the wall is the height,this forms a right angled triangle and the angle of elevation forms at the base,use sine which is opposite over hypotenuse to get your answer
Answer:
Step-by-step explanation:
Given
Represent the adjacent sides with A and B
Required
Determine the perimeter
The perimeter is calculated as follows;
For the fast food company:
Cost of 100 hamburger buns = $120
Hence, cost of 5 hamburger buns = (5*120)/100 = $6
For the customer:
Cost of 3 hamburger buns = $6
Hence, cost of 100 hamburger buns = (100*6)/3 = $200
The fast food company bought 100 buns for $120, and sold those 100 buns for $200.
Hence, the profit per 100 buns = 200 - 120 = $80
5x + 4y = 2
-5x - 2y = 4
So if we add both the equations 5x will be eliminated.
5x + 4y - 5x - 2y = 4 + 2
4y - 2y = 6
2y = 6
y = 3
As y is 3
x will be
5x + 4 x 3 = 2
5x + 12 = 2
5x = -10
x = -2
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