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:
The company's cash conversion cycle is 75 days
Explanation:
The conversion cycle is the number of days that a business takes to convert its investment in inventory into cash flowing from the purchase and sales of the business.
Conversion cycle = Payable days + Inventory in Stock days + Receivable days
where
Payable days = Purchases term = 30 days
Inventory in stock = Number of days until inventory remains unsold = 60 - 30 days = 30 days ( As payable days are already included in inventory conversion days )
Receivable days = Sales term = 15 days
Placing values in the formula
Conversion cycle = 30 days + 30 days + 15 days
Conversion Cycle = 75 days
Answer:
$69.47
Explanation:
D1 = ($1.45*1.20) = $1.7
D2 = ($1.7*1.20) = $2.04
D3 = ($2.04*1.20) = $2.45
Value after year 3 = (D3*Growth Rate) / (Required rate-Growth Rate)
Value after year 3 = ($2.45*1.08) / 0.11-0.08
Value after year 3 = $2.646 / 0.03
Value after year 3 = $88.20
Current share price = Future dividend and value*Present value of discounting factor(rate%,time)
Current share price = $1.7/1.11 + $2.04/(1.11)^2 + $2.45/(1.11)^3 + $88.20/(1.11)^3
Current share price = $1.5315315 + $1.65571 + $1.7914189 + $64.49107
Current share price = $69.4697304
Current share price = $69.47
Answer:
4.20 and normal good
Explanation:
The computation of the income elasticity of demand is shown below:
= (change in quantity demanded ÷ average of quantity demanded) ÷ (percentage change in income ÷ average of quantity income)
where,
Change in income would be
= Q2 - Q1
= 109,500 - 102,300
= 7,200
And, average of income would be
= (109,500 + 102,300) ÷ 2
= 105,900
Change in quantity demanded would be
= 4 - 3
= 1
And, average of quantity demanded would be
= ($4 + 3) ÷ 2
= 3.5
So, after solving this, the income elasticity of demand is 4.20
Since the elasticity comes in positive which means the good is a normal goods
The answer is two and five.
