Answer:
a. How long will the current bridge system work before a new bracing system is required?: 64.18 years or 64 years and 2 months.
b. What if the annual traffic rate increases at 8 % annually: The bracing system will last for 24.65 years or 24 years and 7 months.
c. At what traffic increase rate will the current system last only 12 years: 17.13%
Explanation:
a. Denote x is the time taken for the number of pedestrian to grow from 300 to 2000. The current pedestrian is 300, the grow rate per year is 3% or 1.03 times a year. Thus, to reach 2,000, we have the equation: 300 x 1.03^x = 2000. Show the equate, we have 1.03^x = 6.67 <=> x = 64.18
b. Denote x is the time taken for the number of pedestrian to grow from 300 to 2000. The current pedestrian is 300, the grow rate per year is 8% or 1.08 times a year. Thus, to reach 2,000, we have the equation: 300 x 1.08^x = 2000. Show the equate, we have 1.08^x = 6.67 <=> x = 24.65.
c. Denote x as traffic increase rate. The current pedestrian is 300, the grow rate per year is (1+x) times a year. Thus, to reach 2,000 after 12 years and thus a new bracing system to be in place, we have the equation: 300 x (1+x)^12 = 2000. Show the equate, we have (1+x)^12 = 6.67 <=> 1+x = 1.1713 <=> x = 17.13%.
Answer:
$21.65
Explanation:
The computation of the standard cost is shown below:
= Material cost + labor cost + factory overhead cost
where,
Material cost = 3 ÷ 4 × $5 per yard
= $3.75
Labor cost = 2 hours × $5.75 = $11.5
And, the factory overhead cost is
= $3.20 × 2 hours
= $6.4
So, the standard cost is
= $3.75 + $11.5 + $6.4
= $21.65
Answer:
A. ($16,000)
Explanation:
The computation of the expected value of return equal to
= (Higher return × probability rate) - (Less return - probability rate)
= ($20,000 × 70%) - ($100,000 × 30%)
= $14,000 - $30,000
= - $16,000
For computing the correct value we have to deduct the tighter money conditions from the normal conditions.
