X-y = 4
X-8 = 2
Work the 2nd equation out, you get x=10
10-y = 4
Y=6
So x=10 and y= 6
The only way this problem makes sense is if we are investing $40,000 at either 5% and 6.5%, and we want an annual yield of at least 6.25%. Then we can let x be the amount invested at 6.5%, and (40,000 - x) be the amount invested at 5%.
x(0.065) + (40,000 - x)(0.05) = (40,000)(0.0625)
2,000 + 0.015x = 2500
0.015x = 500
x = 33,333
Therefore, the company must invest at least $33,333 at 6.5% to get an annual yield of at least 6.25%.
Step-by-step explanation:
For question 30, the first choice is not necessarily true. I attached a picture of what *could* be the parallelogram.
The first choice is true ONLY if the parallelogram is a square.
The second choice is not necessarily true either. It is true ONLY if the parallelogram is a rhombus (a square is also a rhombus, just for reference)
But opposite sides of a parallelogram are always equal
So the answer to question 30 are the first and second choices.
For question 31:
remember what I said about how opposite sides of a parallelogram are always equal? Well opposite angles are also always equal.
So angle BKX = angle BWX = angle XWB = 114 degrees
Angle BKW = angle XWK (using parallel lines) = angle XWB - angle BWK = 114 - 22 = 92 degrees
Angle WBX = angle BXK (using parallel lines too) = angle WXK - angle WXB.
Consecutive angles in a parallelogram add up to 180. So angle WXK + angle XWK = 180. angle WXK = 180 - angle XWK = 180 - 114 = 66 degrees.
angle WDB + angle WBX + angle BWK = 180 because it's a triangle
angle WDB + 66 (just figured it out) + 22 (given) = 180 degrees
angle WDB = 180 - 66 - 22 = 92 degrees
I hope I didn't do anything wrong lol
but I prolly did XD
Answer:
88 m
Step-by-step explanation:
= 2 × 22/7 × 14
= 2 × 22 × 2
= 88 m
Answer:
$8 x 8 people = $64
$224 - $64 = $160 in admissions
Step-by-step explanation:
