Step-by-step explanation:
Count how many of the same number, since you have four 8's the exponent will be
same applies for 3
Answer:
-20
Step-by-step explanation:
A + 2K = 8.75
2A + 5K = 19.75
Change the first expression so that we can subtract the As
2A + 5K = 19.75
2A+4K= 17.50
If the signs are the same, subtract one expression from another
K= 2.25
substitute K into any expression to get A
A+4.50= 8.75
Subtract 4.50
a=4.25
K=$2.50
A= $4.25
1-3 are about trigonometric ratios (SOH CAH TOA). 4, 5 are about the Law of Cosines, and 6 uses the Law of Sines.
1. Sin = Opposite/Hypotenuse
x = 10*sin(40°) ≈ 6.428
2. Sin = Opposite/Hypotenuse
x = arcsin(7/12) ≈ 35.69°
3. Tan = Opposite/Adjacent
x = 18/tan(52°) ≈ 14.063
4. b^2 = a^2 +c^2 -2ac*cos(B)
B = arccos((a^2 +c^2 -b^2)/(2ac)) = arccos((7^2 +13^2 -8^2)/(2*7*13))
B = arccos(11/13) ≈32.20°
5. Same formula.
x = √(a^2 +c^2 -2ab*cos(B)) = √(157-132cos(42°)) ≈ 7.675
6. The ratio of side lengths is the same as the ratio of the sines of the opposite angles.
6/10 = sin(x)/sin(100°)
x = arcsin((6/10)*sin(100°)) ≈ 36.22°
Since the interest rate is a standard 32%, then the only thing that Susan has to pay is the 32% of $200. With this, multiply $200 with 0.32 and you will end up with a final answer of 64. 64 will be the amount of interest Susan will have to pay if she is to take out a cash advance of 200 and pay it off within the time period of 1 month.