Answer:
Step-by-step explanation:
The rates are additive: you can calculate the<em> inlet </em>rate and the <em>outlet</em> rate and add them algebraically, i.e. the inlet rate will be positive and the outlet rate will be negative.
<u>1. Inlet rate:</u>
<u />
<u>2. Outlet rate:</u>
<u>3. Net rate:</u>
<u>4. Time to fill the vat</u>
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 you’re trying to elimination the answer would be (14,9)
Answer:
3/14
Step-by-step explanation:
1st subtract the y's
the subtract the x's in the same order
-9 - 5 = -14
put the first result over the second
-3/-14 = 3/14
see the attachments below for the steps :)
The simplified expression is as follows:
d(-3x^2 + 9x - 14)
