If the percentage of LDS missionaries that are female went up from 15% in 2009 to 24% in 2014, find the relative percentage incr
1 answer:
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Answer:
Step-by-step explanation:
You know how subtraction is the <em>opposite of addition </em>and division is the <em>opposite of multiplication</em>? A logarithm is the <em>opposite of an exponent</em>. You know how you can rewrite the equation 3 + 2 = 5 as 5 - 3 = 2, or the equation 3 × 2 = 6 as 6 ÷ 3 = 2? This is really useful when one of those numbers on the left is unknown. 3 + _ = 8 can be rewritten as 8 - 3 = _, 4 × _ = 12 can be rewritten as 12 ÷ 4 = _. We get all our knowns on one side and our unknown by itself on the other, and the rest is computation.
We know that ; as a logarithm, the <em>exponent</em> gets moved to its own side of the equation, and we write the equation like this:
, which you read as "the logarithm base 3 of 9 is 2." You could also read it as "the power you need to raise 3 to to get 9 is 2."
One historical quirk: because we use the decimal system, it's assumed that an expression like uses <em>base 10</em>, and you'd interpret it as "What power do I raise 10 to to get 1000?"
The expression means "the power you need to raise 10 to to get 100 is x," or, rearranging: "10 to the x is equal to 100," which in symbols is
.
(If we wanted to, we could also solve this: , so
)
Answer:
18 children
Step-by-step explanation:
Given
<em>Required (missing part of the question):</em>
<em>Number of children that will be able to go to the zoo if 8 adult tickets are purchased</em>
<em>The graph is missing. However, the question can be solved without the graph.</em>
<em />
From the question and equation, we can deduce the following:
- x represents adults
- y represents children
So, when 8 adult tickets were sold.
This means
Substitute 8 for x in
Subtract 96 from both sides
Solve for y
<em>This means that 18 children will be able to go</em>