The outlier is the piece of data that does not fit the general data set. In this case, 46 is much higher than all of the other numbers. This is the outlier.
Answer:
A
Step-by-step explanation:
The measure of angle D can be found using the Interior Angle Sum of a Triangle.
The angles of a triangle add to 180. This means:
90 + 21 + x = 180.
111 + x = 180
x = 69
The solution is A.
Angle B is smaller than Angle D which means CD will be smaller than BC.
Answer: 4/5
Step-by-step explanation:
0.8 is 8 tenths which is 8/10 in fraction form
8/10 with both sides divided by two is 4/5
hope this helps u
Answer:
The correct answer is a. $2275.28; b. 17.04 years
Step-by-step explanation:
Principal to be invested is $2000
Interest rate (r) per year is 6.5 quarterly.
Interest is calculated compoundly.
a. Time (t) for the investment is given to be 2 years.
Amount after two years is = Principal ×
where the value of n is 4.
⇒ A = 2000 × ![( 1+ \frac{6.5}{400}) ^ {8}](https://tex.z-dn.net/?f=%28%201%2B%20%5Cfrac%7B6.5%7D%7B400%7D%29%20%5E%20%7B8%7D)
⇒ A = $2275.28.
b. Now the value of A is given to be triple the principal = $ (3 × 2000).
Therefore we need to find the value of t.
⇒ 3 × 2000 = 2000 × ![( 1+ \frac{6.5}{400}) ^ {4t}](https://tex.z-dn.net/?f=%28%201%2B%20%5Cfrac%7B6.5%7D%7B400%7D%29%20%5E%20%7B4t%7D)
⇒ ㏑ 3 = 4t × ㏑ ( 1.01625)
⇒ t = 17.04
Therefore it would take 17.04 years for the principal to triple.
Answer:
$113.4
Step-by-step explanation:
If it is 40% off then it is 100-40 = 60% of original price.
So we do 180$ * .6 = $108 before tax.
To add on tax we do: 100 + 5 = 105% of that price.
So we do: $108 * 1.05 = $113.4 after discount and tax.