Mathematics, 01.12.2019 01:31 saxondear052

Acar was valued at $39,000 in the year 1995. the value depreciated to $11,000 by the year 2003.
a)what was the annual rate of change between 1995 and 2003? (round to 4 decimal places)
b)what is the correct answer to part a written in percentage form?
c)assume that the car value continues to drop by the same percentage. what will the value be in the year 2007?
asap the homework is due ! : (

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Answer from: niyyyareligion

The annual rate of change between 1995 and 2003 is -0.1463

The annual rate of change between 1995 and 2003 is -14.63%

The value of the car in 2007 would be $5,844.24

The value of the car decreases as the years go by. This is referred to as depreciation. Depreciation is the decline in value of an asset as a result of wear and tear.

In order to determine the annual rate of change, use this formula:

g = $(FV / PV) ^{\frac{1}{n} } - 1$

Where:

g = depreciation rate

FV = value of the car in 2003 = $11,000

PV = value of the car in 1995 = $39,000

n = number of years = 2003 - 1995 = 8

$(11,000 / 39,00)^{\frac{1}{8} } - 1$ = -0.1463 = -14.63%

The value of car in 7 years can be determined using this formula:

FV = P (1 + g)^n

$39,000 x (1 - 0.1463)^12

$39,000 x 0.8537^12 = $5,844.24

A similar question was answered here: link

Answer from: YokoUndera

14.6328% , $5836.03

Step-by-step explanation:

Here we are going to use the formula

$A_{0}(1-r)^n = A_{n}$

$A_{0}$ = 39000

r=?

$A_{8}$ = 11000

n=8

Hence

39000(1-r)^8 = 11000

$(1-r)^8 = \frac{11000}{39000}$

(1-r)^8 = 0.2820

$(1-r) = 0.2820^{\frac{1}{8}$

$(1-r) = 0.2820^{0.125}$

(1-r) = 0.8536

(1-0.8536=r

r = 0.1463

Hence r= 0.1463

In percentage form r = 14.63%

Now let us see calculate the value of car in 2003 that is after 12 years

we use the main formula again

$A_{0}(1-r)^n = A_{n}$

$A_{0}$ = 39000

r=0.1463

$A_{12}$ = ?

n=12

$39000(1-0.14634)^{(12} = A_{12}$

$39000(0.8536)^{12} = A_{12}$

$39000*0.1497 = A_{12}$

$A_{12}=5840.34$

Hence the car's value will be depreciated to $5840.34 (approx) by 2003.

Answer from: Quest

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the tone of the first line of dialogue until "gettysburg" is a kind tone, a tone of advise. the narrator is trying to the other person in doing something he or she obviously is finding hard to do by giving a piece of advise and bringing up a memory of a successful similar case.

the clue that the reader understand how to read the word "bang" is the exclamation mark. it gives the word a surprise tone, a strong accent.

the best tone for reading the word "bang" is an exciting tone, a surprise one, even a loud one.

the words that should be read with a formal tone are the ones that give factual information. the sentence: mister lincoln couldn't think of anything to say at the gettysburg" gives information about an event and it needs to be read formally, also, when the narrator wants to transmit calmness, a formal and slow tone is needed, because people also transmit messages with the vibrations of our voices and tones.

Answer from: Quest

the answer is a i belaeve atleast thats what my calculator just gfave me

step-by-step explanation:

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Acar was valued at $39,000 in the year 1995. the value depreciated to $11,000 by the year 2003.

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