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Naddika [18.5K]
1 year ago
7

The dollar value v(t) of a certain car model that is t years old is given by the following exponential function. v(t)=29,900(0.7

8)^tFind the initial value of the car and the value after 12 years.

Mathematics
1 answer:
olga2289 [7]1 year ago
4 0

Answer:

(a)Initial Value: $29,900

(b)Value after 12 years: $1516.37

Explanation:

Given the dollar value v(t) of a certain car model that is t years old as:

v\mleft(t\mright)=29,900\mleft(0.78\mright)^t

(a)Initial Value

At initial value, that is, when the car was just purchased, t=0

\begin{gathered} v\mleft(t\mright)=29,900\mleft(0.78\mright)^t \\ \implies v\mleft(0\mright)=29,900\mleft(0.78\mright)^0=29,900\times1=29,900 \end{gathered}

The initial value of the car is $29,900.

(b)The value after 12 years.

When t=12

\begin{gathered} v\mleft(t\mright)=29,900\mleft(0.78\mright)^t \\ \implies v\mleft(12\mright)=29,900\mleft(0.78\mright)^{12}=\$1516.37 \end{gathered}

The value of the car after 12 years is $1516.37.

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2 years ago
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A clothing manufacturer produces 120 garments per hour, of which 5 are damaged. How many garments without damage would the manuf
sp2606 [1]

Answer:

<h2>Step-by-step explanation:</h2>

First we have to found all the clothes that the manufacturer produces in 8 hours,

As given    120 clothes = produce in 1 hour

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By cross multiplication, we get

X= 120*8

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As also given that in each hour 5 clothes damaged ,so we can write as

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By cross multiplication we get

Y=  40 clothes damaged in 8 hour

So the total clothes that manufacturer produce with out damage clothe will be ,

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2 years ago
How many shapes would I have on term 104?​
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313 shapes

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Answer:

C= 82.1116

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ln(40) = ln(C) + 1000k\\ln(30) = ln(C) + 1400k

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