The number of ants in his farm after 12 weeks is 218.
Step-by-step explanation:
Step 1:
It is given that there are 15 ants initially and the ant population increases by 25% each week.
This is an exponential rate of increase that can be modeled by the following equation:
Number of ants after n weeks = Initial number of ants *
Step 2:
Rate of increase = 25% = 25 / 100 = 0.25
Number of weeks = 12
Number of ants after 12 weeks = 15* = 218.27 (rounded off to 218)
Step 3:
Answer:
The number of ants in his farm after 12 weeks is 218.
Answer:
Step-by-step explanation:
XP=4
PT=1
XT=4+1=5
Shaded area=π(5²-4²)=π(25-16)=9π≈9×3.14=28.26 square units
<h3>
Answer:</h3>
x = 3
<h3>
Step-by-step explanation:</h3>
Taking the antilog, the equation becomes ...
... 8x/(x^2 -1) = 3
Multiplying by the denominator, you have ...
... 8x = 3(x^2 -1)
Subtracting the left side to put into standard form gives ...
... 3x^2 -8x -3 = 0
This can be factored as ...
... (3x +1)(x -3) = 0
so the values of x that make these factors zero are ...
... x = -1/3 . . . and . . . x = 3
The original equation requires x > 1, so the only viable solution here is ...
... x = 3
_____
We can also solve this graphically to get the same result.
The answer is 3275/12=272.916666667/7.5=<span>36.3888888889</span>