Answer:
The length of the mid-segment of the trapezoid = 7
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Step-by-step explanation:
The mid-segment of a trapezoid is the segment that connecting the midpoints of the two non-parallel sides.
As shown in the figure the two non-parallel sides are AB and CD
∴ The mid-segment of the trapezoid = 
From the figure: BC = 8 and AD = 6
∴ The mid-segment of the trapezoid = 
Answer:
$787
Step-by-step explanation:
In terms of interest
To find the multiplier using '7% more' continues as follows
100% + 7% = 107%
107/100 = 1.07 (multiplier)
Add the ten years as a power to the multiplier
1.07^10
And multiply this by $400
400 x 1.07^10 = 786.860542916
To the nearest dollar = $787
Answer: The value of
is 36.
Step-by-step explanation:
Given expression: 
To find the value of
at b= 5, we need to substitute the b=5 in the expression, we get
![6(2(5)-4)\\=6(10-4).......[\text{solve parentheses}]\\=6(6)\\=6\times6=36](https://tex.z-dn.net/?f=6%282%285%29-4%29%5C%5C%3D6%2810-4%29.......%5B%5Ctext%7Bsolve%20parentheses%7D%5D%5C%5C%3D6%286%29%5C%5C%3D6%5Ctimes6%3D36)

Therefore, the value of
is 36, when b=5.
Answer:
To make a profit of at least $500 she must sell at least 12 necklaces
Step-by-step explanation:
Joyce rented a booth at a carnival at a cost of $95 to sell handmade beaded necklaces. The cost of making and packaging each beaded necklace was $15. If Joyce sells the beaded necklaces at $35 each then we have to find beaded necklaces she sell to make a profit of at least $500.
The costs side of the equation, we have:
Let no. of necklaces that she sell are x
∴ The cost of making and packaging x beaded necklace is $15x
Total Cost = 95+15x
Now, Joyce sells the beaded necklaces at $35 each. Therefore, selling price will be $35x
To make a profit of at least $500 the equation can be written as


⇒ 
Hence, to make a profit of at least $500 she must sell at least 12 necklaces
Slope intercept form: y=Mx+b (where m is the slope and b is the y intercept)
So just put it into the equation
Answer: y= -8x + 4