Answer:
The shortest distance from Frank's house to Ryan's house is 10 miles.
Step-by-step explanation:
Ryan’s house lies 6 miles due East of Adrian’s house. Adrian’s house is 8 miles due South of Frank’s house.
See the attached diagram.
The three houses form a right triangle Δ RAF and RF is the hypotenuse.
So, the shortest distance from Frank's house to Ryan's house is given by
RF² = RA² + AF² = 6² + 8² = 100
⇒ RF = 10 miles. (Answer)
Answer:
f⁻¹(1/5) = 2
Explanation:
If f(x) = (2x -3)/5
To find inverse of f(x), make x the subject.
Then,
To find f⁻¹(1/5), simplify insert [x = 1/5 or 0.2]
which yields
Answer:
Amount of retained earnings at the end of Year 1 was $8,550
Step-by-step explanation:
In Year 1
net income= $21,100
dividends = $12,550
In Year 2
Net income = $35,100
Paid dividends = $5,550
At the end of Year 1, the company had total assets of $161,000
At the end of Year 2, the company had total assets of $ $251,000
Retained Earning at the end of Year 1 = Opening balance + Net Income - Dividend paid
Retained Earning at the end of Year 1 = 0 + 21,100 - 12,550 = 8550