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VikaD [51]
3 years ago
7

A car was purchased for $25,000. Research shows that the car has an average yearly depreciation rate of 18.5%. Create a function

that will determine the value V(t), of the car t years after purchase. Determine to the nearest cent, how much the car will depreciate from year 3 to year 4
Mathematics
1 answer:
vitfil [10]3 years ago
7 0

Answer:

V(t) = 25000 * (0.815)^t

The depreciation from year 3 to year 4 was $2503.71

Step-by-step explanation:

We can model V(t) as an exponencial function:

V(t) = Vo * (1+r)^t

Where Vo is the inicial value of the car, r is the depreciation rate and t is the amount of years.

We have that Vo = 25000, r = -18.5% = -0.185, so:

V(t) = 25000 * (1-0.185)^t

V(t) = 25000 * (0.815)^t

In year 3, we have:

V(3) = 25000 * (0.815)^3 = 13533.58

In year 4, we have:

V(4) = 25000 * (0.815)^4 = 11029.87

The depreciation from year 3 to year 4 was:

V(3) - V(4) = 13533.58 - 11029.87 = $2503.71

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A city park is in the shape of a square. The area of the park is 441 yards2. How many feet long is one side of the park? A) 7 fe
IceJOKER [234]

Answer:

One side of the park is 63 feet.

C is the correct option.

Step-by-step explanation:

We have been given that the shape of the city park is a square and the area if the park is 441 square yards.We have to find the side of the park.

We know that the four sides of a square is equal and the area is given by

A=\text{(side)}^2

On substituting the value of area, we get

441=\text{(side)}^2

Take square root both sides and ignore the negative values of side

\sqrt{441}=\text{side}

On simplifying, we get

Side = 21 yards

Now, we know that

1 yard = 3 feet

Hence, we have

21 yards = 3×21 = 63 feet

Therefore, one side of the park is 63 feet.

C is the correct option.

3 0
3 years ago
Mr. Luong makes fifteen dollars an hour. Which equation models the situation
Mila [183]

Answer:

idk the options, but

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d=15h

3 0
3 years ago
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creativ13 [48]

Answer:

C the tree grew 6 inches in 2 months

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7 0
3 years ago
Solve for x<br> x ^2 +3x−4=0
Alla [95]

Answer:

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Step-by-step explanation:

7 0
3 years ago
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Identify the solution set of 3 In 4 = 2 In x.<br> -{6}<br> -{-8,8}<br> -(8)
o-na [289]

Option C: The solution set is \{8\}

Explanation:

The expression is 3 \ln 4=2 \ln x

Now, let us find the solution set.

Switch sides, we get,

2 \ln x=3 \ln 4

Dividing by 2 on both sides, we have,

\ln x=\frac{3 \ln 4}{2}

Thus,  \ln 4=\ln 2^2=2\ln 2

Hence, the above expression becomes,

\ln x=\frac{3 \cdot 2 \ln (2)}{2}

Simplifying, we get,

\ln x=3 \ln 2

Applying the log rule, we get,

$$\ln x$=\ln \left(2^{3}\right)$

Simplifying, we have,

$$\ln x$=\ln \left8\right$

Applying the log rule, we have,

x=8

Thus, the solution set is \{8\}

Hence, Option C is the correct answer.

5 0
3 years ago
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