Answer:
Expression:
Beetles after 16 years: 7984 beetles
Step-by-step explanation:
Since the population increases 30% annually every year on the population size of that year, then we need to use a compound interest formula which would be the following
A = P (1 + r/n) (nt)
A = the future amount
P = the initial amount
r = the annual increase rate (decimal)
n = the number of times that interest/increase is compounded per unit t
t = the number of years
Using the values in the question the expression for this scenario would be the following
120(1 + (0.30 / 1))^(1*16)
7984.99
Start from the inside and work your way out
For f(g(0)), g(0)= 9-(0^2) = 9, f(9)= 5(9)+9 = 54
So f(g(0)) = 54
For g(f(0)), f(0)= 5(0)+9 = 9, g(9)= 9-(9^2) = -72
So g(f(0)) = -72
Answer:
15
Step-by-step explanation:
-3 x -5 = 15
Answer:
x = 9.5
this should be the right answer if the same one you had to solve.
Step-by-step explanation:
y = 2x - 4
y = 12 + 3 combine them
2x - 4 = 12 + 3
+4 +4 The 4's cancel each other out
2x = 12 + 7 Add then divide
2x = 19
2x = 19
---- ----
19 19
x = 9.5
In △BAH and △CAK
AB = AC (Given congruent sides of triangle)
m∠BAK = m∠CAH ( Given congruent angles)
AH = AK (Given congruent sides of triangle)
Therefore, triangle △BAH congruent to triangle △CAK.
△BAH ≅ <u>△CAK </u>by (<u>Side Angle Sngle or SAS triangle congruency postulate</u>).
Therefore, m∠K = m∠H (Congurent parts of the congruent triangles are congruent).