Answer: C. (1, 4)
Step-by-step explanation:
The point where the two lines meet or intersect is the solution to the system of equations graphed. And in this case, the lines intersect at (1, 4).
Answer:
The total cost of the bond is none of the given choices.
Step-by-step explanation:
The selling price of a $1000 bond = $99.875
The brokerage fee = 5.5 %
Now, 5.5% of $99.875 = 
So, the brokerage fee = $5.493
Now, to find out the total cost of the bond:
Total Cost = The selling Price + Brokerage Price
= $99.875 + $5.493
= $105.368
or, the total price of the $1000 bond is $ 105.368.
Hence, the total cost of the bond is none of the given choices.
Answer:
89.62
Step-by-step explanation:
Look at the 3rd place of decimals - this is 6 so we add one to the second place.
X - Jack's age
y - Susan's age
Jack is 27 years older than Susan.

In 5 years he will be 4 times as old as she is.

The system of equations:

Jack is 31 years old and Susan is 4 years old.
If the triangles are congruent, the angle opposite the 32 cm side will have the same measure as angle E, 40°. An appropriate choice for this question is ...
b. The measure of c is 40.
_____
In actual fact, the triangles not only are not congruent, they cannot exist. The total of sides FG and FE (82 cm) is less than the length of side GE (38 in). 82 cm is about 32.3 inches, about 5.7 inches too short.
Even if you overlook the units problem, the sum of squares of the sides of the triangle is 32² +38² = 2468, somewhat short of 50² = 2500. That is, the largest angle is slightly more than 90°. It is closer to 90.754° ≈ 91°.
You can label a diagram any way you want, but that doesn't mean the numbers are consistent or sensible.