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lhotsedog2573
29.11.2020 •
Mathematics
In 1980, the population of a town was 2000 people. The exponential function P(t)=2000(1.05)t models the population of the town since 1980. Which statements are true regarding the population of the town? Select THREE that apply.
A.
The population has increased by 5% each year since 1980.
B.
The population has increased by 105% each year since 1980.
C.
The population has increased by 5 people each year since 1980.
D.
Each year since 1980, the population is 105% of the population of the previous year.
E.
Each year since 1980, the population is 1.05 times the population of the previous year.
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Ответ:
B. The population has increased by 105% each year since 1980.
D. Each year since 1980, the population is 105% of the population of the previous year.
E. Each year since 1980, the population is 1.05 times the population of the previous year.
Step-by-step explanation:
From the question, we are given the exponential function:
The exponential function P(t)=2000(1.05)^t models the population of the town since 1980.
Exponential growth rate =
P(t) = P(1 + r)^t
Where r = growth rate in percentage
P(t) = Size of the population after t years
t = time in years
Hence,
From the formula above, we can say =
1 + r = 1.05
r = 1.05 - 1
r = 0.05
Converting to percentage = 0.05 × 100 = 5%
1.05 can also converted to percentage and this = 1.05 × 100 = 105 %
The population has increased by 105% each year since 1980.
Hence, Options, B, D and E is correct
Ответ:
Step-by-step explanation:
Let the weight of mr nazeer be x
Let the weight of his son be y
If the weight of mr nazeer is 7 times that of his son, then x = 7y
To get the ratio of their weight:
Ratio = weight of father/weight of son
Ratio = 7y/y
Ratio = 7/1
Ratio = 7:1
Hence the ratio of their weights is 7:1