Population at Last Census given Proportionality Factor Calculator

✖The Last Census Date refers to the date at which the population is noted.ⓘ Last Census Date [T_L]			+10% -10%
✖The Earlier Census Date refers to the date at which the population is noted.ⓘ Earlier Census Date [T_E]			+10% -10%
✖Proportionality Factor is defined as rate of change of population.ⓘ Proportionality Factor [K_G]			+10% -10%
✖The Population at Earlier Census refers to the population at the earlier census date.ⓘ Population at Earlier Census [P_E]			+10% -10%

✖The Population at Last Census refers to the population at the date of last census.ⓘ Population at Last Census given Proportionality Factor [P_L]

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Population at Last Census given Proportionality Factor Solution

STEP 0: Pre-Calculation Summary

Formula Used

Population at Last Census = exp((Last Census Date-Earlier Census Date)*Proportionality Factor+log10(Population at Earlier Census))
P_L = exp((T_L-T_E)*K_G+log10(P_E))
This formula uses 2 Functions, 5 Variables

Functions Used

log10 - The common logarithm, also known as the base-10 logarithm or the decimal logarithm, is a mathematical function that is the inverse of the exponential function., log10(Number)
exp - n an exponential function, the value of the function changes by a constant factor for every unit change in the independent variable., exp(Number)

Variables Used

Population at Last Census - The Population at Last Census refers to the population at the date of last census.
Last Census Date - The Last Census Date refers to the date at which the population is noted.
Earlier Census Date - The Earlier Census Date refers to the date at which the population is noted.
Proportionality Factor - Proportionality Factor is defined as rate of change of population.
Population at Earlier Census - The Population at Earlier Census refers to the population at the earlier census date.

STEP 1: Convert Input(s) to Base Unit

Last Census Date: 19 --> No Conversion Required
Earlier Census Date: 20 --> No Conversion Required
Proportionality Factor: 0.03 --> No Conversion Required
Population at Earlier Census: 22 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_L = exp((T_L-T_E)*K_G+log10(P_E)) --> exp((19-20)*0.03+log10(22))

Evaluating ... ...

P_L = 3.71516347345058

STEP 3: Convert Result to Output's Unit

3.71516347345058 --> No Conversion Required

FINAL ANSWER

3.71516347345058 ≈ 3.715163 <-- Population at Last Census

(Calculation completed in 00.004 seconds)

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

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< Determination of Population For Inter Censal and Post Censal Years Calculators

Earlier Census Date given Proportionality Factor

LaTeX Go Earlier Census Date = Last Census Date-((log(Population at Last Census,e)-log(Population at Earlier Census,e))/Proportionality Factor)

Proportionality Factor given Population at Last Census

LaTeX Go Proportionality Factor = (log10(Population at Last Census)-log10(Population at Earlier Census))/(Last Census Date-Earlier Census Date)

Constant Factor given Population at Last Census

LaTeX Go Constant Factor = (Population at Last Census-Population at Earlier Census)/(Last Census Date-Earlier Census Date)

Population at Last Census

LaTeX Go Population at Last Census = Population at Earlier Census+Constant Factor*(Last Census Date-Earlier Census Date)

Population at Last Census given Proportionality Factor Formula

LaTeX Go

Population at Last Census = exp((Last Census Date-Earlier Census Date)*Proportionality Factor+log10(Population at Earlier Census))
P_L = exp((T_L-T_E)*K_G+log10(P_E))

What is Population?

A Population is a distinct group of individuals, whether that group comprises a nation or a group of people with a common characteristic.

What is Census?

Census is defined as an enumeration of people, houses, firms, or other important items in a country or region at a particular time.

How to Calculate Population at Last Census given Proportionality Factor?

Population at Last Census given Proportionality Factor calculator uses Population at Last Census = exp((Last Census Date-Earlier Census Date)*Proportionality Factor+log10(Population at Earlier Census)) to calculate the Population at Last Census, The Population at Last Census given Proportionality Factor is defined as the value of population at last census when we have prior information of other parameters used. Population at Last Census is denoted by P_L symbol.

How to calculate Population at Last Census given Proportionality Factor using this online calculator? To use this online calculator for Population at Last Census given Proportionality Factor, enter Last Census Date (T_L), Earlier Census Date (T_E), Proportionality Factor (K_G) & Population at Earlier Census (P_E) and hit the calculate button. Here is how the Population at Last Census given Proportionality Factor calculation can be explained with given input values -> 3.715163 = exp((19-20)*0.03+log10(22)).

FAQ

What is Population at Last Census given Proportionality Factor?

The Population at Last Census given Proportionality Factor is defined as the value of population at last census when we have prior information of other parameters used and is represented as P_L = exp((T_L-T_E)*K_G+log10(P_E)) or Population at Last Census = exp((Last Census Date-Earlier Census Date)*Proportionality Factor+log10(Population at Earlier Census)). The Last Census Date refers to the date at which the population is noted, The Earlier Census Date refers to the date at which the population is noted, Proportionality Factor is defined as rate of change of population & The Population at Earlier Census refers to the population at the earlier census date.

How to calculate Population at Last Census given Proportionality Factor?

The Population at Last Census given Proportionality Factor is defined as the value of population at last census when we have prior information of other parameters used is calculated using Population at Last Census = exp((Last Census Date-Earlier Census Date)*Proportionality Factor+log10(Population at Earlier Census)). To calculate Population at Last Census given Proportionality Factor, you need Last Census Date (T_L), Earlier Census Date (T_E), Proportionality Factor (K_G) & Population at Earlier Census (P_E). With our tool, you need to enter the respective value for Last Census Date, Earlier Census Date, Proportionality Factor & Population at Earlier Census and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Population at Last Census?

In this formula, Population at Last Census uses Last Census Date, Earlier Census Date, Proportionality Factor & Population at Earlier Census. We can use 1 other way(s) to calculate the same, which is/are as follows -

Population at Last Census = Population at Earlier Census+Constant Factor*(Last Census Date-Earlier Census Date)

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