Answer:
The initial population at the beginning of the 10 years was 129.
Step-by-step explanation:
The population of the village may be modeled by the following function.

In which P is the population after t hours,
is the initial population and r is the growth rate, in decimal.
In this problem, we have that:
.
So



The initial population at the beginning of the 10 years was 129.
41 is not a composite number because you can not divide 41 with any number. Therefore, it is prime.
The triangles are similar by SAS principle.
<h3>How to know similar triangles?</h3>
Similar triangles have the same shape but may have different sizes.
In similar triangles, corresponding sides are always in the same ratio.
The corresponding angles are congruent.
Therefore, using SAS ratio,
6 / 8 = 8 × 3 / 32
6 / 8 = 24 / 32 = 3 / 4
Therefore, the corresponding sides are a ratio of each other.
Therefore, the triangles are similar by SAS principles because the two triangles have two pairs of sides in the same ratio and the included angles are also equal
learn more on similar triangle here: brainly.com/question/21480885
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You get your hair done for $56.00 and you tip the hairdresser $20.00(D)
You have to subtract 56 from 20% than round the answer to the neared tenth.