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

Respuesta :

Answer: (d)- 1.76 kg

Step-by-step explanation:

Given

The first laptop mass was 11 kg

The rate of mass decreases by 4.7% per year

In 1982, it was

[tex]\Rightarrow 11-11\times 4.7\%=11-11\times 0.047\\\Rightarrow 11(1-0.047)\ kg[/tex]

In 1983, it was

[tex]\Rightarrow 11(1-0.047)-11(1-0.047)\times 0.047=11(1-0.047)^2[/tex]

In 2019 i.e. after 38 years, it is

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