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
15/8 is already an improper fraction, if you want a proper fraction the answer is 1 and 7/8
Answer:
Step-by-step explanation:
Expected value of the bet =
<h3>
P(you make the correct draw) * 40 + P(you do not make the correct draw) * (-10) = </h3>
(4/52)(4/51)(4/50) * 40 + (1 - (4/52)(4/51)(4/50)) * (-10) =
(64/132600) * 40 + (1 - 64/132600) *(-10) =
64/3315 + (132536/132600) * (-10) =
64/3315 - (132536/13260) =
64/3315 - 33134/3315 =
-33070/3315 =
-9.97586726998 =
-$9.98, rounded to the nearest cent
(i.e., the expected value of the bet is a loss of $9.98)
The answer to 1 is common multiple. And the answer to 2 is common denominator