Juan purchased an antique that had a value of $200, at the time of purchase. each year, the value of the antique is estimated to increase %10, percent over its value the previous year. the estimated value of the antique, in dollars, 2 years after purchase can be represented by the expression 200a, where a is a constant. what is the value of a ?

a= 1.21

Step-by-step explanation:

Note: This is a compound interest problem

Step 1

The value of the antique after one year is:

100% + 10% of the purchase price

= 110% of 200

=110/100 of 200

=1.10 × 200

Step 2

The value after two years is:

110% of the value after one year

=110% of (1.10 × 200)

=110/100 of (1.10× 200)

=1.10×(1.10×200)

=1.21×200

Step 3

Expressing the above solutionin the form 200a:

= 200× a = 200 × 1.21

|a=1.21

Thanks

its an acute right triangle

step-by-step explanation:

when rotating a figure 180 degrees, imagine that you are able to take the figure and turn it clockwise or counterclockwise around a center point. to rotate a figure 180 degrees, you will need to apply the rule (x, y) → (-x, -y). start by using a coordinate grid with coordinates for each vertex of the figure. the center point of the coordinate grid is located at (0, 0), which is what you will rotate the figure around. write down the original coordinates of the shape you are going to rotate. then, apply the rule. for example, coordinate (1, 2) becomes (-1, -2). another example would be, coordinate (-4, -2) becoming (4, 2). after you change each original coordinate to the rotated coordinate, you will draw your new figure.

step-by-step explanation: