Question b, how would I find K
1 answer:
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Answer:
1) 20%
2) Choice a.
Step-by-step explanation:
1) is the population initially.
is the population after a year.
represents the population increase factor.
So let's evaluate that fraction:
0.2=20%
2) Let's figure out the population growth in terms of months instead of years.
We want t to represent months.
A full year is 12 months, in a full year we have that
So we want a new P such that since 12 months equals a year.
Let's look at the functions given to see which gives us this:
a)
b)
c)
d)
So a is the function we want.
Also another way to look at this:
where
is in years.
where
is in months.
And
Answer:
b = 10
Step-by-step explanation:
The area (A) of a triangle is calculated as
A = bh ( b is the base and h the height )
Here h = 3x + 15 and A = 15x + 75, thus
× b × (3x + 15) = 15x + 75
Multiply both sides by 2 to clear the fraction
b(3x + 15) = 30x + 150
Divide both sides by (3x + 15)
b = ← factor numerator and denominator
= ← cancel the factor (x + 5) on numerator/denominator
=
= 10