Answer:
<u>1/6</u>
Step-by-step explanation:
<u>P (red)</u>
- No. of red / Total
- 3 / 3 + 4 + 2
- 3/9
- 1/3
<u>P (green without replacing red)</u>
- No. of green / Total - 1
- 4 / 9 - 1
- 4/8
- 1/2
<u>P (final)</u>
- P (red) × P (green without replacing red)
- 1/3 × 1/2
- <u>1/6</u>
Amount obtained in Compound interest is given by :
Note : Conversion period is the time from one interest period to the next interest period. If the interest is compounded annually then there is one conversion period in an year. If the interest is compounded semi-annually then there are two conversion periods in an year. if the interest is compounded quarterly then there are four conversion periods in an year.
<u>Problem</u> :
Given : $500 is invested for one year at 4% annual interest
As the question mentions the term ''compounded quarterly'', there are 4 conversion periods in a year.
If the interest is compounded quarterly, then the rate of interest per conversion period (quarter) will be :
Substituting all the values in the Amount formula of C.I, We get :
We know that : Interest = Amount - Principal
Interest = 520.30 - 500
Interest = $20.30
If this is a cube and each side is 6ft, each face will have an area of 6ft * 6ft, or 36ft. There are 6 faces on a cube, so 36ft * 6 = 216ft² as the surface area (it's also the same as 6³, fancy huh?)
The formula for working out the area of a circle is
. r stands for the radius. The radius is the diameter divided by two.
r = d/2
r = 8cm/2
= 4cm
Now you just need to substitute r into the formula for the area of a circle:
=
*16
= 16
(Remember that the area is always given in units squared, in this case cm)
≈ 50.3
Equation of a circle is given by (x - a)^2 + (y - b)^2 = r^2; where (a, b) is the center of the circle.
By comparison, (x - 2)^2 + (y + 5)^2 = 16 has center at point (2, -5).
Translating the circle 4 units to the left and 1 unit up gives a new center at point (2 - 4, -5 + 1) = (-2, -4)