The expression 20,000(1.05)' represents the population of a town t years after 2005

Select the value from each drop-down menu that best completes the sentence.

The population of the town

by

• each year

Step-by-step explanation:

The given expression represents exponential growth. The expression is written as

20,000(1.05)^t

Where

20000 represents the initial population of the town in 2005.

1.05 represents the rate at which the population is increasing each year after 2005. The actual growth rate is

0.05 × 100 = 5%

t represents the number of years after 2005

Therefore, the complete sentence would be

The population of the town is increasing by 5% each year.

horizontal translation of 2 units in the positive x direction

followed by

vertical translation of 3 units in the positive y direction

pentagon

step-by-step explanation:

the coordinates   a(5, -2), b(3,-1),c(-4,-4) d(-3,8) and e(-1,4) forms the vertices of the polygon when they are connected in order.

in order to classify that which polygon is it with the given coordinates, first count the number of vertices and then count the number of sides it can make with these vertices.

since, the given coordinates have five vertices, therefore, it will make five sides. moreover, pentagon is regular in nature therefore it will be convex.

now, a polygon with five sides is known as pentagon, therefore, the given polygon is the pentagon.