Given Information:
Current Population = P₀ = 7 billion = 7x10⁹
Growth rate = r = 3 %
Period = t = 100 years
Required Information:
(a) Population after 100 years = ?
(b) Population after t = 0, 1, 2, 10, 25, 50 years = ?
(c) Population vs time graph = ?
Explanation:
The human population growth can be modeled as an exponential growth,
where P₀ is the current population, r is the growth rate and t is the time period
(a) What would the population equal 100 years from now?
P = 140.6x10⁹
(b) Compute the level of the population for t = 0, t = 1, t = 2, t = 10, 25, and t =50
<u>t = 0</u>
P = 7x10⁹e⁰
P = 7x10⁹
<u>t = 1</u>
P = 7x10⁹e^0.03*1
P = 7.213x10⁹
<u>t = 2</u>
P = 7x10⁹e^0.03*2
P = 7.423x10⁹
<u>t = 10</u>
P = 7x10⁹e^0.03*10
P = 9.45x10⁹
<u>t = 25</u>
P = 7x10⁹e^0.03*25
P = 14.82x10⁹
<u>t = 50</u>
P = 7x10⁹e^0.03*50
P = 31.37x10⁹
(c) Make a population versus time graph
Attached as image
JP Morgan was a captain of Industry.
Answer:
Please see below
Explanation:
The question above is incomplete. See concluding parts
2. Calculate the activity rates for the four activities . Round your answers to the nearest cent. Processing account per account issuing statement processing transactions per enquiry. If the total number of statement issued was 20,000 calculate the cost of the issuing statements activity.
1. Capacity cost rate
= Total resources / Total checking processing hours
= $396,000 / 22,000
= $18 per hour
2. Calculate the activity rates for the four activity. Round your answers to the nearest cent.
Processing accounts
= 0.20 × $18 = $3.6 per account
Issuing statements
= 0.10 × $18 = $1.8 per statement
Processing transactions
= 0.05 × $18 = $0.9 per transaction
Answering inquiries
= 0.15 × $18 = $2.7 per inquiry
If the total of issuing statement was 20,000 calculate the cost of issuing the issuing statement activity
Issuing statement
= 20,000 × $1.8
= $36,000
Answer:
b.$219,300
Explanation:
The computation of the amount of factory overhead applied in October is given below:
= Opening balance + direct material + direct labor - ending balance - good finished
= 24,900 + 94,400 + 197,000 - 212,900 - 322,700
= -$219,300
= $219,300
Hence, the option b is correct