blessed4628
12.08.2020 •
Mathematics
In 2018, the population of a district was 25,000. With a continuous annual growth rate of approximately 4%, what will the
population be in 2033 according to the exponential growth function?
Round the answer to the nearest whole number.
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Ответ:
Step-by-step explanation:
Initial population in 2018 = 25,000
Annual growth rate (in %) = 4%
Yearly Increment in population = 4% of 25000
= 4/100 * 25000
= 250*4
= 1000
This means that the population increases by 1000 on yearly basis.
To determine what the population will be in 2033, we need to first know the amount of years we have between 2018 and 2033.
Amount of years we have between 2018 and 2033 = 2033-2018
= 15 years
After 15 years, the population will have increased by 15*1000 i.e 15,000 more than the initial population.
Hence the population in 2033 will be Initial population + Increment after 15years = 25,000+15000 = 40,000 population.
Ответ:
17.3 cm
Step-by-step explanation:
(refer to the attached for reference)
since the given triangle is a right triangle (i.e with one of the angles being 90 deg), we can use trigonometry to determine the missing side.
In our case, we are given ∠ABC = 68° and the length of its adjacent side AB = 7 cm.
From trigonometry, the following relationship may be formed:
tan (68°) = opposite length / adjacent length
tan (68°) = AC / AB
tan (68°) = AC / 7 (multiply both sides by 7)
7 tan (68°) = AC (rearrange)
AC = 7 tan (68°) (solve using calculator)
AC = 17.3256
AC = 17.3 cm (1 dec pl)
17.3 cm
Step-by-step explanation:
(refer to the attached for reference)
since the given triangle is a right triangle (i.e with one of the angles being 90 deg), we can use trigonometry to determine the missing side.
In our case, we are given ∠ABC = 68° and the length of its adjacent side AB = 7 cm.
From trigonometry, the following relationship may be formed:
tan (68°) = opposite length / adjacent length
tan (68°) = AC / AB
tan (68°) = AC / 7 (multiply both sides by 7)
7 tan (68°) = AC (rearrange)
AC = 7 tan (68°) (solve using calculator)
AC = 17.3256
AC = 17.3 cm (1 dec pl)