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Volgvan
4 years ago
13

The value of a car after t years can be found using the formula V = C(1 - r)t, where V is the current value of the car, C is the

original price of the car, and r is the rate of depreciation. Solve the formula for r . Raj bought a car 4.5 years ago for $25,000, and the current value of the car is $12,000. At what percentage rate has the car depreciated? Round your answer to the nearest whole number.
Mathematics
1 answer:
Stells [14]4 years ago
8 0
The given formula is
V = C(1-r)^{t}

Therefore
(1-r)^{t} =  \frac{V}{C} \\\\ 1-r = ( \frac{V}{C} )^{1/t} \\\\ r = 1 - ( \frac{V}{C} )^{1/t}

Given:
C = $25,000
V = $12,000
t = 4.5 years

C/V = 0.48
1/t = 0.2222
Therefore
r = 1 - 0.48^{0.2222} = 0.1505 = 15.05\%

Answer: 15% (nearest integer)

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Recall that a relation is an <em>equivalence relation</em> if and only if is symmetric, reflexive and transitive. In order to simplify the notation we will use A↔B when A is in relation with B.

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4 0
4 years ago
7 students have 8 books each. Which helps you find the total number of books?
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2 years ago
Select the correct answer.
Marta_Voda [28]
Remember x is x and f(x) is same thing as y.

f(5) = 4

It is same thing as saying, when x = 5, y aka f(x) should be 4. Aka the point (5,4)

Let’s look at D, if x =5 then f(x)=5? No, it should equal 4. So this is wrong. It is also not linear. So NOT D

Lets look at C, if x =5 then
1/5(5)+3 =
5/5 + 3 =
1+3 =
4

So, f(x) aka y = 4. Is this correct? Yes when x =5, y indeed should equal 4, but it is not linear. So NOT C

Lets look at B, if x=5 then,
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32 - 28 =
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So, f(x) aka y = 4. Is this correct? Yes when x =5, y indeed should equal 4, AND it is linear SO THE ANSWER IS B

Check A too, it gets y=14 so thats wrong as it is not 4.


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