9514 1404 393
Answer:
8.6
Step-by-step explanation:
The growth factor per year is 1.012, so in 500 years is ...
1.012^500
The number of doublings is the solution to ...
2^n = 1.012^500
Taking logarithms, we have ...
n·log(2) = 500·log(1.012)
n = 500·log(1.012)/log(2) ≈ 8.6046
About 8.6 doublings will take place in 500 years.
You would pay $1100.15 (rounded to nearest hundredths)(unrounded would be 1100.14875)
Q1: The perimeter of the triangle is a + b + c and if each side is the same then it's 3a. In this situation we may write it in its simplest form as 9m. Note that 3(3m) is also correct but it's not the simplest form.
Q2: You're correct, the distributive property of 3(3m) can be written as 3 (2m + m).
The triangles are similar, they aren't congruent (identical) though as we don't know if they share a common side
