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
If r is the cost of repairs, then the inequality is:
r > 50
Answer:
The answer to this problem is B, C, and E.
Step-by-step explanation:
In order to isolate w, you would simply divide both sides by lh because divisionis the oppositeof multiplication which is currentlybeing done. After doing this, your answer is w = v/lh.
I hope this helps!
Set up the following equations:


x is the amount of hours worked on the weekday job, and y is the amount of hours worked on the weekend job.
We'll use substitution to remove one of the variables.
Multiply the first equation by -18 to get opposite coefficients for y:


Combine these two equations together:

Divide both sides by 2 to get x by itself:

Plug in x to the first original equation:

Subtract 25 from both sides to get y by itself:

He worked
25 hours at his weekday job, and 15 hours at his weekend job.