I think the answe would be 4(56x)
assuming you means k = log_2(3) [as log(2)3 is the same thing as 3log(2) due to multiplication being commutative]
given log(ab) = log(a) + log(b)
log_2(48) = log_2(3) + log_2(16)
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
Knowing the amount doubles every 30 days, we'll have to find how many times it'lll double in the 210-day time frame:
210 / 30 = 7
It doubles 7 times. If we were to write a rough, not worked on expresion representing that, knowing the starting population was of 20, we would write:
(((((((20 * 2) * 2) * 2) * 2) * 2) * 2) * 2) = 2560 rabbits
Hope it helped,
Happy homework/ study exam!
Answer:
area = 10 units ^2
Step-by-step explanation:
rectangular area = 2x2 = 4
left side triangle area = 2x2x0.5 = 2
right side triangle area = 4x2x0.5 = 4
4+2+4 = 10
