With simple interest, interest is calculated based on the original deposit only. The amount of interest earned in 1 year does not affect the amount of interest earned in following years.
With compound interest, interest is "compounded" or added a specific number of times per year. After the interest is added, the next time it is calculated, the amount is based on the total amount in the account.
For example, if we deposit $100 at 2% compound interest that is compounded yearly, the first year our interest would be 0.02(100) = $2. Before the interest is calculated the next year, this $2 is added to the account, making it $102. This is the value we use to calculate the next year's interest: 0.02(102) = $2.04.
Because of this, compound interest grows more quickly.
The circumscribed circle is a circle which passes through all the vertices of a triangle.
This means the center of the circle must be at the same distance from all the vertices.
A point equidistant from the end point of a line segment always lies on the perpendicular bisector.
Also the point of concurrence of the perpendicular bisectors of the sides of the triangle is the circum center which is the center of circum cirle.
Hence we must draw the perpendicular bisector of any one side.
So Patrick's first step should be to construct the perpendicular bisector of ST.
Option A is the right answer.
Answer:
In a parallelogram, consecutive angles are supplementary. Thus,
B + C = 180^{\circ}
(2x+15)+x=180
3x+15=180
3x=165
x=55
Step-by-step explanation:
Answer:
8x + 3
Step-by-step explanation:
Given
2(5x - 1) - (2x - 5)
Distribute first parenthesis by 2 and second by - 1
= 10x - 2 - 2x + 5 ← collect like terms
= 8x + 3