Complete question :
In one year, the population of Douglas, the former copper mining town on the U.S.-Mexico border, shrunk by 200. Over the last ten years, the town’s population is going down at an average rate of 1.16% per year. Douglas’ current population in November 2020 is 15,140. a. Write an equation to model the population decay of Douglas using the data given. b. If the town’s population loss continues to occur at this rate, what will the population of Douglas in 6 months from now? Round your answer to the nearest integer. c. If the town’s population loss continues to occur at this rate, what will the population of Douglas in one year? Round your answer to the nearest integer. d. If the town’s population loss continues to occur at this rate, what will the population of Douglas in November 2027? Round your answer to the nearest integer.
Answer:
15052 ; 14,964 ; 13953
Step-by-step explanation:
Given that:
Rate of population decline = 1.16% annually
Population in November 2020 = 15140
A = I(1 - r)^t
Where ;
A = final population
I = initial population
r = rate of decline
t = number of years
Population in 6 months
t = 6 months = 0.5 year, r = 1.16% = 0.0116
A = 15140(1 - 0.0116)^0.5
A = 15140(0.9884)^0.5
A = 15051.931
A = 15052 ( nearest integer)
Population after 1 year :
A = 15140(1 - 0.0116)^1
A = 15140(0.9884)^1
A = 14964.376
A = 14964 ( nearest integer)
Population in 2027:
t = 2027 - 2020
A = 15140(1 - 0.0116)^7
A = 15140(0.9884)^7
A = 13952.596
A = 13953 ( nearest integer)
Answer:
D. Opposite angles are congruent
With option A, we can see that it is clearly wrong, in a parallelogram, only the opposite sides are congruent, if all of the sides are congruent then the shape is more likely to be a square or a rhombus.
With option B, only the opposites angles are congruent. If all four angles are congruent, that will be more likely to be true when we consider a square or a rectangle.
With option C, it is also wrong, unless the shape is a rhombus, square or rectangle.
That leaves us with the last option which is D.
Answer:
x<6
Step-by-step explanation:
<u>the answer to this inequality is:</u> x<6
Answer:
Option (1)
Step-by-step explanation:
See attached image.
Steve will earn $160 interest after four years ⇒ 1st answer
Step-by-step explanation:
The formula of the simple interest is I = Prt, where
- P is the initial deposit
- r is the annual rate in decimal
- t is the time of investment
∵ Steve opens a bank account with a simple annual interest rate of 5%
∴ r = 5% = 5 ÷ 100 = 0.05
∵ His initial deposit is $800
∵ He will put the money for four years
∴ t = 4
- Substitute all these values in the formula above
∵ I = 800(0.05)(4)
∴ I = 160
Steve will earn $160 interest after four years
Learn more:
You can learn more about the interest in brainly.com/question/13018049
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