Answer:
23.1567
Step-by-step explanation:
710000(1+1.49/100)ⁿ=1000000
710000×1.0149ⁿ=1000000
1000000÷710000=1.0149ⁿ
1.4084507=1.049ⁿ
log1.4084507=ⁿlog1.0149
log1.4084507/log1.0149=ⁿ
Answer:
6 feets
Step-by-step explanation:
The triangle described in the question has been sketched in the picture attached below :
From the triangle, we could solve for X, which is the base of the triangle using trigonometry :
Sinθ = opposite / hypotenus
Sin 30° = x / 12
0.5 = x / 12
x = 12 * 0.5
x = 6 feets
Hence base, x = 6 feets
Answer:
20.
$18.40.
Step-by-step explanation:
The mean number of people = (12+19+17+26+26)/5
= 100/5
= 20.
Karmin's original hourly rate = 480/30
= $16 per hour.
With a 15% rise it is 16 * 1.15
= $18.40 / hour.
Answer:
Mean = 1.9
Standard deviation = 0.6
Step-by-step explanation:
The Mean is calculate by the formula:
⇒ 
Thus Mean to the nearest tenth is 1.9
Standard Deviation is the square root of sum of square of the distance of observation from the mean.
where, 
is mean of the distribution.
Putting all values in the formula, We get
Standard Deviation = 0.597 ≈ 0.6
Adjacent angles are angles with a common side and vertex, linear pairs are adjacent angles that are supplementary, and vertical angles are angles made by the same two lines but on opposite sides.
For the first one, 5 and 6 clearly do not share a side but they are made up by the same 2 lines and are opposite of each other, making them vertical.
For the next one, since the angles only share 1 line (and not a side) they can't be any of the above.
