The city of Anville is currently home to 16000 people, and the population has been growing at a continuous rate of 4% per year. The city of Brinker is currently home to 11000 people, and the population has been growing at a continuous rate of 7% per year. In how many years will the populations of the two towns be equal?

Answer

After 13.15 years the population of both towns will become equal.

Step-by-step explanation:

Population of the city Anville is given by using the compound interest formula  

The formula of compound interest

A = p( 1+r/n)^n*t

using this we get

P1 = 16000 (1 +) ^1*t

Population of the city of Brinker will be

P2 = 11000( 1  + ) ^1*t

now to make equal population in both towns

P1=P2

16000 (1 +) ^1*t = 11000( 1  + ) ^1*t

t = 13.15 years

4.08%

step-by-step explanation:

first, we define the variables:

x: number of years after 1950

f (x): amount of vinyl sold.

then, with the variables defined, we have:

68594 vinyl records were sold in 1958 > f (8) = 68594

91299 vinyl records were sold in 1961 > f (11) = 91299

38720 vinyl records were sold in 1952 > f (2) = 38720

161743 vinyl records were sold in 1967 > f (17) = 161743

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step-by-step explanation: