A population of 100 frogs has a growth rate of 1.25% each month. At this growth rate, the function f(x) = 100(1.25)* gives the population in x months. In how many months

will the population first reach 500?

7.2 months

Step-by-step explanation:

Hi, to answer this question we have to substitute f(x) =500 in the equation given:

f(x) = 100(1.25)^x

500= 100(1.25)^x

Solving for x (number of months)

500/100 = 1.25^x

5 = 1.25^x

log 5 =log 1.25^x

log 5 =x (log 1.25)

log 5 /log 1.25 =x

x = 7.2 months

Feel free to ask for more if needed or if you did not understand something.  

first, you divide the triangle in two, tô form a retangle triangle. after, using pythagoream theorem:

18^2 = 14^2 + (x/2)^2

(x^2/4) + 196 = 324

x^2/4 = 324 - 196

x^2/4 = 128

x^2 = 512

x = √512

x = √2^9

x = 16√2 cm

i hope i you.

irrational, then, just means all the numbers that aren't rational. every integer is a rational number, since each integer n can be written in the form n/1. however, numbers like 1/2, 45454737/2424242, and -3/7 are also rational, since they are fractions whose numerator and denominator are integers.

step-by-step explanation: