Given:
principal 15,000
term 9 years
rate 8.5%
Interest = Principal * Interest Rate * Term
I = 15,000 * 8.5% * 9
I = 11,475
Total = 15,000 + 11,475 = 26,475 on date of maturity
Interest = 15,000 * 8.5% * 2
I = 2,550
Total = 15,000 + 2,550 = 17,550
amount withdrawn = 4,000
Penalty = 4,000 * 8.5 % * 6/12
P = 170
Net amount = 17,550 - 4,000 - 170 = 13,380
I = 13,380 * 8.5% * (8-2)
I = 6,823.80
Total = 13,380 + 6,823.80 = 20,203.80 total amount on maturity.
The answer is the option B: A'(3, -2), B'(3, -5), C'(2, -4).
The explanation is shown below:
1. You must apply the following rule of rotation when the figure is rotated 90° counterclockwise around the origin:
→
2. Then, as you can see, you must switch
and
and multiply
by -1.
3. Keeping this on mind, you have that the vertices of the triangle A'B'C' are the following:
A(-2,-3)→A'(3,-2)
B(-5,-3)→B'(3,-5)
C(-4,-2)→C(2,-4)
4. Therefore, you can conclude that the answer is the option B.
Since they are consecutive, we can define the two unknowns with ease.
The left page (has a smaller value) can be defined as X, and the right page can be defined as X+1.
So,
X + (X+1) = 293
2x+1 = 293
2x = 292
x = 146
So, as we defined before, the smaller page number is equal to x. Therefore, the smaller page number is 146, and the larger page number is 147.
31 x 7.875 = 244.125
244.125 inches altogether
The distance between (3, 1) and (6, 5) is 5.
D=√(x₂-x₁)²+(y₂-y₁)²
D=√(6-3)²+(5-1)²
D=√3²+4²
D=√9+16
D=√25
D=5