Answer: 63.9
<u>Step-by-step explanation:</u>
ΔEDH ~ ΔEGD
Set a proportion to solve for ED.
Then set up a proportion to solve for x.
the one where they are diagonal from one another
Green family=15n
n is number of hours
Bryant family= 40x
x is number of hours
15n+40x=1450L
n+x=55
use simultaneous equations
(15n+40x=1450)-(15n+15x=825)
25x=625
x=25hours
n=55-x
n=55-25=30hours
Answer: B, C, E
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The difference between consecutive terms (numbers that come after each other) in arithmetic sequences is the same. That means you add the same number every time to get the next number. To figure out which choices are arithmetic sequences, just see if the differences are the same.
Choice A) 1, -2, 3, -4, 5, ...
-2 - 1 = -3
3 - (-2) = 5
The difference is not constant, so it is not an arithmetic sequence.
Choice B) 12,345, 12,346, 12,347, 12,348, 12,349, ...
12,346 - 12,345 = 1
12,347 - 12,346 = 1
The difference is constant, so it is an arithmetic sequence.
Choice C) <span>154, 171, 188, 205, 222, ...
171 - 154 = 17
188 - 171 = 17
The difference is constant, so it is an arithmetic sequence.
Choice D) </span><span>1, 8, 16, 24, 32, ...
8 - 1 = 7
16 - 8 = 8
</span>The difference is not constant, so it is not an arithmetic sequence.
Choice E) <span>-3, -10, -17, -24, -31, ...
-10 - (-3) = -7
-17 - (-10) = -7
</span>The difference is constant, so it is an arithmetic sequence.
With the total sales of $2,733, the sales over $2,000 is $733. The commission she will receive is equal to the product of $733 and the decimal equivalent of the commission. That is,
commission = (0.04)($733)
commission = $29.32
The total compensation she will receive is the summation of the commission and weekly salary.
total compensation = $29.32 + $500
<em> total compensation = $529.32</em>
This week, Sandi will receive a total compensation of $529.32.
