Answer:
The exponential function to model the duck population is:
f(n)=415*(1.32)^n, where:
x is the duck population
n is the number of years
Step-by-step explanation:
In order to calculate the duck population you can use the formula to calculate future value:
FV=PV*(1+r)^n
FV=future value
PV=present value
r=rate
n=number of periods of time
In this case, the present value is the initial population of 415 and the rate is 32%. You can replace these values on the formula and the exponential function to model the duck population would be:
f(n)=415*(1+0.32)^n
f(n)=415*(1.32)^n, where:
x is the duck population
n is the number of years
Answer:
Step-by-step explanation:
Given that there are three variables satisfying the equation

Here each x is given to be a positive integer
i.e. solution set for each of the variable can be any integer from 1 to 20 at most.(because if two other integers are 1 each third has to be 20)
Hence solution set can be of the form


If x1 =1, there are 20 solution sets
If x1 =2,there are 19
...
If x1 =20 there is 1 set
Hence total solutions can be
Answer:
4) p=b(1/2)
6) y=50+25h
Step-by-step explanation:
Let me know if you need an explanation!
Answer:
The answer is b
Step-by-step explanation:
Answer:
190 cm^2
Step-by-step explanation:
Top and Bottom = 2(3*10)=60cm
Sides = 2(5*10)=100
Front and Back =2(3*5)=30
total = 190