Let
x = minutes used for jogging
y = minutes used for handball
z = minutes used for cycling
Th total time spent is 1 hour (60 minutes), therefore
x + y + z = 60
Because Mike jogs as long as he cycles, therefore
x = z
Therefore
2x + y = 60
or
y = 60 - 2x (1)
Jogging consumes 10 calories/min, handball consumes 9 calories/min and cycling consumes 12 calories/min.
The calories consumed in 60 minutes is 580, therefore
10 x + 9y + 12z = 580
Because x = z,
22x + 9y = 580 (2)
Substitute (1) into (2).
22x + 9(60 - 2x) = 580
22x + 540 - 18x = 580
4x = 40
x = 10
y = 60 - 2x = 40
z = x = 10
Answer:
10 minutes of jogging
40 minutes of handball
10 minutes of cycling.
Answer:
(a) $546,300
(b) $12.88
Explanation:
(a) Earnings available to common stockholders:
= Dividend + Retained Earnings
= 33,300 + 513,000
= $546,300
Earnings available to common stockholders means the amount available to distribute as dividend.
But the company need not pay full earnings as dividend. They may left some portion as retained earnings.
(b) Earnings per share:
= Earnings available to common stockholders ÷ no. of shares of common stock
= $546,300 ÷ 42,400
= $12.88
Answer:
d. Firm A will spend $4,000.
Explanation:
Since Firm B cost of Cleanup before it gets the the river is less than the cost of pollution permits, it will choose to clean up its pollution.
However, since Firm A cleanup cost per ton ($100) is greater than the cost of the pollution permit, it will choose to buy permits.
Maximum Allowable Number of Permits=40
Therefore, Firm A will clean up 10 Tons and dump 40 Tons of Waste.
Cost =(10 Tons *$100)+(40 Tons * $75)
=$(1000+3000)
=$4000.
Firm A will spend $4000.
Answer:
the exact internal rate of return is 40%
Explanation:
The computation of the exact internal rate of return is shown below
Given that
Initial investment = -$89,000
Year 1 to Year 18 = $35,684 each year
Based on the above information
We use the IRR formula
= IRR()
After applying the internal rate of return formula, the exact internal rate of return is 40%
So the same is considered and relevant too