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pychu [463]
1 year ago
15

The equation V = 16300 (0.94)^t represents the value (in dollars) of a car t years after its purchase. Use this equation to comp

lete the statements below.

Mathematics
1 answer:
Dafna1 [17]1 year ago
5 0

Solution:

Given:

V=16300(0.94)^t

The value of a car after t - years will depreciate.

Hence, the equation given represents the value after depreciation over t-years.

To get the rate, we compare the equation with the depreciation formula.

\begin{gathered} A=P(1-r)^t \\ \text{where;} \\ P\text{ is the original value} \\ r\text{ is the rate} \\ t\text{ is the time } \end{gathered}

Hence,

\begin{gathered} V=16300(0.94)^t \\ A=P(1-r)^t \\  \\ \text{Comparing both equations,} \\ P=16300 \\ 1-r=0.94 \\ 1-0.94=r \\ r=0.06 \\ To\text{ percentage,} \\ r=0.06\times100=6\text{ \%} \\  \\ \text{Hence, } \\ P\text{ is the purchase price} \\ r\text{ is the rate} \end{gathered}

Therefore, the value of this car is decreasing at a rate of 6%. The purchase price of the car was $16,300.

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Sphinxa [80]

Answer:

Hence the new height  is 3 times the original height .(h1=3h)

Step-by-step explanation:

Given:

A cone with  has height and base with radius r .

To Find:

What is new height

Solution:

Consider as cone with height h base radius r, and volume v

Here given that only height changes for the cone  i.e. r remains the unchanged or same or constant

The volume for a regular cone is given by ,

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Here V is directly proportional to h i.ee pie ,3 and r being constant

V=K*h

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V1 and h1 are new dimensions for new cone

V/h=V1/h1

Here V1=3V

So V/h=3V/h1

1/h=3/h1

i.e  h1=3h

Hence the height  is 3 times the original height .

4 0
3 years ago
The sum of two numbers is 36 twice the first number minus the second number is 6 find the numbers
Ilia_Sergeevich [38]

Answer:

14, 22

Step-by-step explanation:

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=> x = 36 - y

=> 2×(36 - y) - y = 6

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3y = 66

y = 22

=> x = 36 - 22 = 14

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Step-by-step explanation:


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