Answer:
The age of Mia is 13 year 6 months 122.64 days old.
Step-by-step explanation:
Given : Mia is [tex]7.01280\times 10^6[/tex] minutes old.
To find : Convert her age to more appropriate units using years, months and days. Assume a year has 365 days and a month has 30 days.
Solution :
Mia is [tex]7.01280\times 10^6[/tex] minutes old.
Converting minutes into year month and days.
We know,
There are 60 or [tex]6\times 10[/tex] minutes in an hour.
There are 24 or [tex]2.4\times 10[/tex] hour in an day.
There are 30 or [tex]3\times 10[/tex] day in a month.
There are 12 or [tex]1.2\times 10[/tex] month in a year.
For conversion divide all by given unit,
[tex]n=\frac{7.01280\times 10^6}{(6\times 10)(2.4\times 10)(3\times 10)(1.2\times 10)}[/tex]
[tex]n=\frac{7.01280}{6\times 2.4\times 3\times 1.2}\times 10^{6-1-1-1-1}[/tex]
[tex]n=0.13528\times 10^{2}[/tex]
[tex]n=13.528[/tex]
i.e. Mia is 13.528 years old.
Now, 0.528 years into months is [tex]0.528\times 12=6.336[/tex]
i.e. Mia is 13 year 6.336 months old.
Now, 0.336 months into days is [tex]0.336\times 365=122.64[/tex]
i.e. Mia is 13 year 6 months 122.64 days old.
Therefore, The age of Mia is 13 year 6 months 122.64 days old.
