The king's ship sank with 8 gold bars aboard. the king paid captain nemo 4/5 of one bar for finding the gold. the captain gave 1/2 of his gold to charity. what fraction of a bar went to charity?

The fraction is 2/5 of one gold bar.

Step-by-step explanation:

The king's ship sank with 8 gold bars aboard. Captain Nemo helped the King to find them and the king paid Captain Nemo 4/5 of one bar for finding the gold.

Let one gold bar be g.

This means the king paid Captain Memo 4/5 × g = 4g/5

The captain gave 1/2 of his gold to charity. This means that Captain Memo gave 1/2 of his 4g/5 gold bar to charity.

This amount that Captain Memo gave for charity would be

1/2 × 4g/5 = 4g / 10 = 2g/5

The fraction of a bar that went for charity would be

This amount that Captain Memo gave for charity would be /one gold bar. It becomes

2g/5 ÷ g = 2g/5 × 1/g

The g cancels out. Therefore,

The fraction is 2/5 of one gold bar.

the right system of equations to describe the situation would

be on the form:

x1 = 8000 + y1*t

and

x2 = 8000 + y2*t

where x1 and x2 represents the total money of imogene and her

friend respectively at the end of t years.

now for the value of amount earned, y1 and y2:

y1=8000*0.08

y2=2000*√(t-2)