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
Chapter : Linear equations
Lesson : Math for Junior High School
7x + 14y = 28
if want to find x and y, we must substitution value 0 to the equation x and y :
# If x = 0, then :
7x + 14y = 28
= 7(0) + 14y = 28
= 0 + 14y = 28
= 14y = 28 → y = 28/14
= y = 2
# If y = 0, then :
7x + 14y = 28
= 7x + 14(0) = 28
= 7x + 0 = 28
= 7x = 28 → x = 28 / 7
= x = 4
and that result was proven x = 4 and y = 2
Answer:
second is 1.50 first is 11.15
Step-by-step explanation:
see if it works for you I changed my fractions into decimals
Answer:
min = -9
max =3
Step-by-step explanation:
C = x-3y
x ≥0
x≤3
y≥0
y≤3
The minimum will be be when x is smallest and y is at its max
x =0 and y = 3
C = 0 - 3(3)
C = 0-9 = -9
The minimum is -9
The maximum occurs when x is largest and y is smallest
x =3 and y = 0
C = 3 - 3(0)
C = 3-0 = 3
The max is 3
Answer :
$52.50 - x
Step-by-step explanation:
8.75*6 = 52.5
Price of the book = x
$52.50 - x