Starting in the year of 2012 the number of speeding tickets issued each year during 2012 issued 170 every year thereafter the number of tickets issued predicted to grow by 5% If Pn denotes the predicted number of speeding tickets during 2012 +n then write the recursive formula if trend continues how many speeding tickets in 2028
The recursive formula is: Pn = 1.05P(n-1)
To find the predicted number of speeding tickets in 2028, we need to use the formula for each year from 2012 to 2028:
P1 = 1.05(170) = 178.5
P2 = 1.05(178.5) = 187.43
P3 = 1.05(187.43) = 196.80
P4 = 1.05(196.80) = 206.64
P5 = 1.05(206.64) = 216.97
P6 = 1.05(216.97) = 227.82
P7 = 1.05(227.82) = 239.20
P8 = 1.05(239.20) = 251.14
P9 = 1.05(251.14) = 263.64
P10 = 1.05(263.64) = 276.73
P11 = 1.05(276.73) = 290.41
P12 = 1.05(290.41) = 304.72
P13 = 1.05(304.72) = 319.66
P14 = 1.05(319.66) = 335.26
P15 = 1.05(335.26) = 351.53
P16 = 1.05(351.53) = 368.51
P17 = 1.05(368.51) = 386.19
P18 = 1.05(386.19) = 404.60
Therefore, the predicted number of speeding tickets in 2028 would be P16 = 368.51 (rounded to two decimal places).
In year, 2012+n the number of tickets will be 170*1.05^n
so in 2028 there will be 170*1.05^16 = _____
Using the formula, we get:
170 * 1.05^16 ≈ 368.51
Therefore, the predicted number of speeding tickets in 2028 would be approximately 368.51.
A researcher interested in shopping survey a randomly selected group of 200 of shoppers 76% of those surveyed indicated that the price was important to them than where it was produced researcher concluded about three quarters of the people are more concerned with cost than where an item is made
This conclusion might be invalid because
the sample size is relatively small and may not be representative of the population as a whole. A larger sample size may have provided a more accurate representation of the population's preferences. Additionally, the sample may not be diverse enough to accurately represent the population's preferences. For example, if the sample was taken from only one region or demographic group, it may not accurately reflect the preferences of the entire population. Finally, the wording of the question may have influenced the responses, potentially leading to biased results. For example, if the question was worded in a way that emphasized the importance of price over other factors, respondents may have been more likely to prioritize cost in their response. Therefore, the conclusion that three quarters of the people are more concerned with cost than where an item is made might not be valid without further research and analysis.
City’s population in the year 1975 1,980,300 in 1970 population was 1,982,300 compute the slope of the population growth and choose most accurate statements
To compute the slope of the population growth, we need to use the formula:
slope = (change in y) / (change in x)
Here, the change in y is the change in population, which is:
1,980,300 - 1,982,300 = -2000
The change in x is the change in years, which is:
1975 - 1970 = 5
Therefore, the slope of the population growth is:
slope = (-2000) / 5 = -400
The negative sign indicates that the population is decreasing over time.
Accurate statements could be:
1. The city's population has declined at an average rate of 400 people per year from 1970 to 1975.
2. There has been a negative population growth in the city from 1970 to 1975.
3. The city's population growth has been negative at an average rate of 400 people per year from 1970 to 1975.
4. The city's population has decreased by approximately 0.1% per year from 1970 to 1975.