Answer:
b.$7,172.16 favorable
Explanation:
std rate $ 13.13
actual rate $ 12.20
actual hours 7,712
difference between actual and standart rate $0.93
As it is positive the variance is favorable as we spend less per hour than standard.
Now, we multiply by the actual hours to get the rate variance:
7,712 hours x $0.93 = $7,172.16
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
The lifetime value of a local car dealership for an average customer is $120,000.
<h3>What is meant by a lifetime value?</h3>
A lifetime value is an average amount that is being earned by the customer over the time period till its being a customer of a particular service.
Given values:
Amount spent by customer: $30,000
The average number of years: 40 years
Computation of lifetime value (LTV):
Therefore, when a customer spends $30,000 on a car dealership for 40 years of average time then its lifetime value would be $120,000.
Learn more about the lifetime value in the related link:
brainly.com/question/16926291
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Answer:
the bond worth today is $651.60
Explanation:
The computation of the amount of bond worth today i.e. present value is to be shown below:
Present value = Amount ÷ (1 + interest rate)^number of years
where,
Amount = $1,000
Interest rate = 5.5%
And, the number of years is 8
Now placing these values to the above formula
So, the worth of the bond today is
= $1,000 ÷ (1 + 0.55)^8
= $651.60
hence, the bond worth today is $651.60
Answer: Conservative approach; Short term debt
Explanation:
Conservative approach is used by a company to maintain a level of current assets that is high which invariably leads to higher working capital. This is used by a firm that occasionally faces demand for short-term credit but usually has an excess of short-term capital to finance current assets.
Short term debts typically costs less than the long term debts as it's for a shorter duration.