The population in the year 2020 is 4628
<h3>How to determine the population?</h3>
The given parameters are:
Initial, a = 12910
Rate, r = 5%
Since the population decreases, then we make use of an exponential decay function.
This is represented as:
f(n) = a * (1 - r)^n
So, we have:
f(n) = 12910 * (1 - 5%)^n
Evaluate the difference
f(n) = 12910 * 0.95^n
2020 is 20 years from 2000.
So, we have:
f(20) = 12910 * 0.95^20
Evaluate
f(20) = 4628
Hence, the population in the year 2020 is 4628
Read more about exponential functions at:
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Answer:
perpendicular
Step-by-step explanation:
To determine if AB and CD are parallel, perpendicular, or neither, we need to get the slope of AB and CD first
Given A (−1, 3), B (0, 5),
Slope Mab = 5-3/0-(-1)
Mab = 2/1
Mab = 2
Slope of AB is 2
Given C (2, 1), D (6, −1)
Slope Mcd = -1-1/6-2
Mcd = -2/4
Mcd = -1/2
Slope of CD is -1/2
Take their product
Mab * Mcd = 2 * -1/2
Mab * Mcd = -1
Since the product of their slope is -1, hence AB and CD are perpendicular
Answer:
15d+25e+15
Step-by-step explanation:
Distribute
Answer:2
Step-by-step explanation:
15/3 = 5
15/2 = 7.5
+1
= 13
15 - 13 = 2
Answer:
Elissa needs 4 quarts of paint, or 1 gallon.
Step-by-step explanation:
Elissa's room is in the shape of a rectangular prism. Assuming that she will only be painting the walls and not the floor or ceiling, you just need to calculate the area of the four walls - front and back and side to side. Based on the dimensions given, the area of Elissa's front and back walls are 8 ft x 9 ft or 72 ft² for each wall. Since there are two, we take that area times two: 72 x 2 = 144 ft².
Elissa's side walls are 8 ft x 13 ft or 104 ft² for each wall. Since there are two, we take this area times two: 104 x 2 = 208 ft².
To find the total area needed to paint, we add all four walls: 144 + 208 = 352 ft². Since a quart of paint covers 100 ft² and a gallon covers 400 ft², Elissa can either purchase 4 quarts of paint or 1 gallon to paint her bedroom.
