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PLEASE HELP!!! I WILL RATE YOU BRAINLIEST
The first laptop ever was sold was the Osborne 1. It came onto the market in 1981, and it had a mass of 11 kg. Suppose that since 1981 the mass of laptops has decreased at an average rate of 4.7% per year. What was the approximate weight of a laptop in 2019?

a. 6.43 kg
b. 8.10 kg
c. 4.62 kg
d. 1.76 kg

Sagot :

Answer:

hi hope this help and if its wrong you can blame

Step-by-step explanation:

The Osborne 1 is the first commercially successful portable microcomputer, released on April 3, 1981 by Osborne Computer Corporation. It weighs 10.7 kg (24.5 lb), cost US$1,795, and runs the CP/M 2.2 operating system

The approximate weight of a laptop in 2019 is 1.76 kg

The correct answer is an option (d)

What is percent?

"It is a number can be expressed as a fraction of 100."

What is the formula for exponential decay?

" [tex]f(t)=a(1-r)^t[/tex] where a is the initial value,

r is the rate of decay

and t is the time period."

For given question,

The initial weight of the laptop in 1981 (a) = 11 kg

The mass of laptops has decreased at an average rate of 4.7%

We can write above percentage as,

[tex]4.7\%\\=\frac{4.7}{100}\\ =0.047[/tex]

So, the rate of r = 0.047

We need to find the approximate weight of a laptop in 2019.

So the time period would be,

⇒ t = 2019 - 1981

⇒ t = 38

Using exponential decay formula,

[tex]\Rightarrow f(38)=11\times(1-0.047)^{38}\\\\\Rightarrow f(38)=11\times (0.953)^{38}\\\\\Rightarrow f(38)=1.76[/tex]

Therefore, the approximate weight of a laptop in 2019 is 1.76 kg

The correct answer is an option (d)

Learn more about the exponential decay here:

https://brainly.com/question/14355665

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