Answer:
d
Step-by-step explanation:
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
There would be 22 red chips in the bucket containing 66 total chips.
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more variables and numbers.
Let us assume the ratio of red chips to blue chips is 1:2.
Hence, if there 44 blue chips in the bucket:
(2/3) * total chips = 44
Total chips = 66
Number of red chips = (1/3) * 66 = 22
There would be 22 red chips in the bucket containing 66 total chips.
Find out more on equation at: brainly.com/question/1214333
Answer:
-3 and -4
Step-by-step explanation:
x = 1st number
y = 2nd number
set up system of equations:
2x + 3y = -18
3x + 2y = -17
elimination method: multiply 1st equation by -2 and second by 3
-4x - 6y = 36
+
<u> 9x + 6y = -51</u>
5x = -15
x = -3
find y: 2(-3) + 3y = -18
-6 + 3y = -18
3y = -12
y = -4