Answer:
The answer is D!
Step-by-step explanation:
using the continuously compounded interest formula A=Pe^rt, I found that 10000*2.718282^(1)=27,182.82 $ in 20 yrs
Answer:
a) 297°
b) 4.52 minutes
Step-by-step explanation:
a) Consider the attached figure. The boat's actual path will be the sum of its heading vector BA and that of the current, vector AC. The angle of BA north of west has a sine equal to 5/11. That is, the heading direction measured clockwise from north is ...
270° + arcsin(5/11) = 297°
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b) The "speed made good" is the boat's speed multiplied by the cosine of the angle between the boat's heading and the boat's actual path. That same value can be computed as the remaining leg of the right triangle with hypotenuse 11 and leg 5.
boat speed = √(11² -5²) = √96 ≈ 9.7980 . . . . miles per hour
Then the travel time will be ...
time = distance/speed
(3900 ft)×(1 mi)/(5280 ft)×(60 min)/(1 h)/(9.7980 mi/h) ≈ 4.523 min
Answer:
A conjecture is an “educated guess” that is based on examples in a pattern. ... However, no number of examples can actually prove a conjecture. It is always possible that the next example would show that the conjecture is false. A counterexample is an example that disproves a conjecture.
Answer:
<em>Option B, Option D</em>
Step-by-step explanation:
If we are to take a look at these points, we would see that they share a common y point on the y - axis ⇒ -5;
This would mean that a horizontal line runs through the following points ( 4, -5 ) and ( 6, - 5 ), and provided it is a horizontal line, it has no slope, or in other words a slope of 0;
<em>Solution; Option B, Option D</em>
Answer:
64
Step-by-step explanation:
180-64 = 116 because of alternate interior angles d = 116
d and c are Supplementary. 180-116 = 64. c = 64
