Answer:
P(t) = 200·0.95^t
Step-by-step explanation:
Each year, the population drops to 95% of its previous value. That is, the population is multiplied by 0.95 each year. Repeated multiplication is signified by an exponent. Here, that exponent is the number of years from today (t).
The population function can be written as ...
P(t) = 200·0.95^t
Answer:
Last point is at (7,-3)
Step-by-step explanation:
Answer:
n=-6
Step-by-step explanation:
5n-42=12n
5n=12n+24
5n-12n=42
-7n=42
divide each side by -7
n does =-6
Step-by-step explanation:
½ [cos(a − b) − cos(a + b)]
Using sum and difference formulas:
½ [cos a cos b + sin a sin b − (cos a cos b − sin a sin b)]
Distribute the negative:
½ (cos a cos b + sin a sin b − cos a cos b + sin a sin b)
Combine like terms:
½ (2 sin a sin b)
Simplify:
sin a sin b

integrate to get
![[ln|t|]^{3x}_x=ln|3x|-ln|x|=ln| \frac{3x}{x}| =ln |3|=ln(3)](https://tex.z-dn.net/?f=%5Bln%7Ct%7C%5D%5E%7B3x%7D_x%3Dln%7C3x%7C-ln%7Cx%7C%3Dln%7C%20%5Cfrac%7B3x%7D%7Bx%7D%7C%20%3Dln%20%7C3%7C%3Dln%283%29)
this only is true when x>0
when x turns negative, we get -ln(3) because of math