Answer:
The given equation will have value less than 100 whenever the value of b is greater than 12.89
Step-by-step explanation:
For the given equation, p(b) = 520 × to have a value less than 100 we can establish inequality as:
p(b) < 100
or, 520 × < 100
or, × <
or, <
or, ㏒ ( ) < ㏒ ()
or, b× ㏒ 0.88 < ㏒ ()
or, < b
or, 12.89 < b
Hence for the equation to have value less than 100, b must be greater than 12.89.
<span>Mr. Wiley earned a commission of $9,200 on a house that sold for $184,000.
</span><span>At this rate, Mr. Wiley's commission be on a house that sells for $250,000 = ?
commission = price of house sold
$9,200 = $184,000
multiply both sides with $250,000
$9,200 x </span>$250,000 = $184,000 x $250,000
when the price is $250,000, the commission will be;
($9,200 x $250,000) / $184,000 = $250,000
$2300000/$184 = $250,000
$12,500 = $250,000
Thus, the commission is $12,500.
Answer:
Summation notation is:
If you prefer it a little more simplified:
Step-by-step explanation:
First my favorite part, finding a pattern between the consecutive terms.
This is an arithmetic series because the terms are going up by 5 each time.
So arithmetic sequence, think linear equations:
x | y
1 -9
2 -4
3 1
4 6
..................
n 66
We are going to have to find that n but will will eventually...
The equation for a line in point slope form is where is a point on the line and m is the slope.
We are already have the slope is 5 (the slope is the common difference in arithmetic sequence).
I'm going to use the first point (1,-9).
So the equation in point slope form is
Subtract 9 on both sides:
Now we need to know how many terms we are adding so what is x if y=66.
Add 9 on both sides:
Divide both sides by 5:
Add 1 on both sides:
We have 16 terms in this sequence where the 16th term is 66.
Summation notation is:
You could simplify the 5(x-1)-9.
Distribute: 5x-5-9
Add like terms: 5x-14
Answer: 4*sqrt(66)
This is the same as saying
===========================================================
Explanation:
x = length of segment BD
Because BD is an altitude of triangle ABC, this means the triangle is split into two smaller right triangles which are similar to the original. All three right triangles are similar to one another.
What this leads to is the proportion
CD/BD = BD/AD
Apply substitution and solve for x.
24/x = x/44
24*44 = x*x .... cross multiply
1056 = x^2
x = sqrt(1056)
x = sqrt(16*66)
x = sqrt(16)*sqrt(66)
x = 4*sqrt(66)
Notice how I factored 1056 in such a way that I pulled out the largest perfect square factor (16). Then I used the rule to break up the root.