Answer:
31000 dollars were invested at 4% interest rate.
16000 dollars were invested at 5% interest rate.
Step-by-step explanation:
Convert the interest rate into decimal and then write down two equations to solve for the unknowns.


Best Regards!
Answer:
Parallel lines have no intersection
Step-by-step explanation:
Answer:
43°
Step-by-step explanation:
(x + 53)° + (x + 74)° + 73° = 180°
(x + 53 + x + 74)° = 180° - 73°
(2x + 127)° = 107°
2x + 127 = 107
2x = 107 - 127
2x = - 20
x = - 20/2
x = - 10

The area of the actual castle would be 388,800 sq. ft.
We would multiply each of the sides of the scale model both by 180 to find the side lengths of the actual castle.
So...
180 x 4 = 720
180 x 3 = 540
If Area is equal to Length Times Width, all thats left to do is to multiply the two sides together.
720 x 540 = 388,800
Hope this helped! :D
Answer:
1. -3/6 is negative, because it descends by 3 and goes over by 6.
2. My first answer literally gives the keyword negative, therefore it's a negative line because it has a <em>negative slope</em>.
1. -8/0 is undefined, because there is a rise but there is no run, which also means that it's a:
2. vertical line
1. -5/-10 simplifies to 5/10 or 1/2, which is positive because it rises by 5(or 1) and runs over by 10(or 2).
2. Thus, this means that it's a positive line since it has a <em>positive slope</em>.
1. 0/-2 is zero, because when you actually solve the equation it'll equal 0.
2. This means that it'll have a horizontal line since there is no rise but there is a run only.