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chubhunter [2.5K]
4 years ago
10

Terrence buys a new car for $20,000. The value of the car depreciates by 15% each year. If f(x) represents the value of the car

Mathematics
2 answers:
frozen [14]4 years ago
6 0

Answer:

f(x) = 20,000(0.85)*

Step-by-step explanation:

tigry1 [53]4 years ago
6 0

Answer: f(x)=20,000(0.85)^x

Step-by-step explanation:

We know that the exponential decay (depreciation) equation with rate of decay r in time period x is given by :-

f(x)=A(1-r)^x, A is the initial value .

Given: The initial value of truck = $20,000

Rate of depreciation= 15% = 0.15

Now, the function represents the car's value after x years is given by ;-

f(x)=20,000(1-0.15)^x\\\\\Rightarrow\ f(x)=20,000(0.85)^x

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7 0
3 years ago
The length of a rectangle is 5ft longer than twice the width if the perimeter is 58 ft find the length and width of the rectangl
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Define x :
----------------------------------
Let the width be x.
Width = x
Length = 2x + 5                // Length is 5ft longer than twice the width

----------------------------------
Formula for Perimeter :
----------------------------------
Perimeter = 2 (Length + Width)

----------------------------------
Find Width :
----------------------------------
58 = 2 ( 2x + 5 + x)         // Substitute Length and Width into formula
58 = 2 (3x + 5)                // Combine like terms
58 = 6x + 10                    // Apply distributive property
48 = 6x                            // Take away 10 from both sides
6x = 48                            // Switch sides. Make x the subject
x = 8                                // Divide by 6 on both sides

----------------------------------
Find Length and Width :
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Width = x = 8 ft
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--------------------------------------------------------------------
Answer: The length is 21 ft and the width is 8 ft.
--------------------------------------------------------------------

3 0
3 years ago
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