Answer:
Hence after period of 9 years from 1990 t0 1999 will be 61438 rabbits.
Step-by-step explanation:
Given:
Population for rabbit obeys exponential law.
120 at 1990 and 240 1991 ...after 1 year time period
To Find:
After 9 year time period how many rabbits will be there.
Solution:
Exponential law goes on present value and various value and time period and defined as ,
let Y be present value Y0 previous year value and k exponential constant and t be time period.
So
Y=Y0e^(kt)
Here Y=240 ,Y0=120 t=1 year time period
So
240=120e^(k*1)
240/120=e^k
2=e^k
Now taking log on both side, [natural log]
ln(2)=ln(e^k)
ln(2)=kln(e)
k=ln(2)
k=0.6931
For t=9 year of time period
Y0=120, t=9 ,k=0.6931
Y=Y0e^(k*t)
Y=120*e^(0.6931*9)
=120e^6.2383
=61438.48
=61438 rabbits
Answer:
The solution is <u>-3</u>.
The graph is attached.
Step-by-step explanation:
To solve, first subtract 2 from both sides to get 
. Now divide 5 from both sides to get 
.
The graph representing this is attached.
Hope it helps and is correct!
Answer:
-y ,y = m (-x, x)
Step-by-step explanation:
Answer:
The correct option is <u>c) $17.50/case</u>.
Step-by-step explanation:
Note: The data in the question are merged. The data are therefore sorted and the whole question is represented before answering the question. Please, see the attached pdf file for the sorted data and the represented question.
The explanation of the answer is now given as follows:
Marginal cost refers to the cost incurred in order to produce one more unit of a product.
Therefore, marginal cost is the change in the total cost that is caused by a one-unit increase in the quantity of a commodity that is produced.
From the table in the question, the marginal cost at q = 108 can be calculated as follows:
Change in total quantity at 180 cases = 108 - Number of cases immediately before 108 = 180 - 104 = 4
Change in total cost at 180 cases = Total cost at 108 cases - Total cost immediately before 108 cases = 1990 - 1920 = 70
Marginal cost at 108 cases = Change in total cost at 180 cases / Change in total quantity at 180 cases = 70 / 4 = 17.50 per case
Therefore, the correct option is <u>c) $17.50/case</u>.
Answer:
15:- 10cm
16:- 169cm
Step-by-step explanation:
Original length of steel stock was 2.1m = 210cm
A piece of 8.6 dm(86cm) & 81cm and 330mm(33cm)
{coversion:1m=100cm,1dm=10cm,1mm=0.1cm]
remaining piece length equal to: 210cm-(86cm+81cm+33cm)
=(210- 200)cm=10cm
• 42 stall in 70.98m span(7098cm)
• 1stall is in (7098/42)cm span
i.e, 169 cm
✌️:)
