A certain computer loses half of its value every two years. If the value of the computer after 3 years is 425, what was the initial value of the computer

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Answer:

1,700      

Step-by-step explanation:

The computation of the initial value of the computer is shown below:

Let us assume the value of a certain computer in the first year is X

In the second year, it is [tex]\frac{X}{2}[/tex]

In the third year, it is [tex]\frac{X}{2}[/tex]

In the fourth year, it is [tex]\frac{X}{4}[/tex]

Now it is given that after 3 years, the value of the computer is = 425 i.e equal to

[tex]\frac{X}{4} = 425[/tex]

So, X = 1,700

Hence, the initial value of the computer is 1,700      

The initial value of the computer is 1,700  

   

We have given that the computer losses half of its value,and  If the value of the computer after 3 years is 425,

we have to calculate,what was the initial value of the computer

What is the meaning of initial value?

The initial value is the beginning output value

Suppose that the initial value of computer is x

So after two years it will be,

for  the second year, it is X/2

for the third year, it is X/2

In the fourth year, it is X/4

we have given that after 3 years, the value of the computer is  425 Therefore  We can write it as,

X/4=425

X=4(425)

X=1700

Therefore ,the initial value of the computer is 1,700  

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