Mathematics: The population of a city grows exponentially at rate of 8% per year.Find the number of years it takes for the population to be doubled Give your answer correct to the nearest whole number

Answer is Angle B is 70 degrees. Angle D is 110 degrees. Step-by-step explanation:HAVE A NICE DAY!THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION....

The population of a city grows exponentially at

Ответ:

dylanclark4965

16.03.2022

Mathematics

It will take 9 years for the population to double

Step-by-step explanation:

Exponential Growth

The natural growth of some magnitudes can be modeled by the equation:

P=P_o(1+r)^t

Where P is the actual amount of the magnitude, Po is its initial amount, r is the growth rate and t is the time.

The population of a city grows at a rate of r=8% = 0.08 per year. We are required to find when (t) the population will double, or P=2Po.

Substituting in the equation:

2P_o=P_o(1+0.08)^t

Simplifying:

2=(1.08)^t

Taking logarithms:

$\log 2=\log (1.08)^t$

Applying the exponent property of logs:

$\log 2=t\log (1.08)$

Solving for t:

$\displaystyle t=\frac{\log 2}{\log (1.08)}$

Calculating:

$t\approx 9$

It will take 9 years for the population to double

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Ответ:

soniarosechavez1

18.01.2023

Mathematics

Answer is

Angle B is 70 degrees.

Angle D is 110 degrees.

Step-by-step explanation:

$Given \: shape \: is \: a \: cyclic \: quadrilateral \\ measure \: of \: angle \: B \: is \: 3x - 4 \: degrees \\ measure \: of \: angle \: D \: is \: 2x - 6 \\ we \: know \: that \: sum \: of \: opposite \: angles\: of \: a \ \\ cyclic \: quadrilateral \: is \: 180 \: degrees \\ then \\ 3x - 4 + 2x - 6 = 180 \\ 5x - 10 = 180 \\ adding \: 1 0 \: on \: both \: sides \\ 5x = 190 \\ x = \frac{190}{5} \\ x = 38 \\ given \: angle \: D \: is \: 2x - 6 \\ on \: substituting \: x = 38 \: we \: get \\ = 2(38) - 6 \\ = 76 - 6 \\ = 70 \\ given \: angle \: B \: is \: 3x - 4 \\ on \: substituting \: x = 38 \: we \: get \\ = 3(38) - 4 \\ = 114 - 4 \\ = 110</p<p</p<p$

HAVE A NICE DAY!

THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION.

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The population of a city grows exponentially at rate of 8% per year.Find the number of years it takes for the population to be doubled Give your answer correct to the nearest whole number

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