Mathematics: The number of users on a website is 1500 and is growing exponentially at a rate of 27% per year. write a function to represent the number of users on the website after tt years, where the monthly rate of change can be found from a constant in the function. round all coefficients in the function to four decimal places. also, determine the percentage rate of change per month, to the nearest hundredth of a percent.

The number of users on a website is 1500 and

Ответ:

francisco42002

05.01.2022

Mathematics

A=1500(1+0.27)^t

Rate of change per month would be 2.01%

Step-by-step explanation:

Since, the exponential growth function,

$A=P(1+\frac{r}{n})^{nt}$

Where,

P = principal amount,

r = annual rate,

n = number of compounding periods,

t = number of years,

Here,

P = 1500, r = 27% = 0.27, n = 1,

Thus, the number of users after t years,

A=1500(1+0.27)^t

Let it is equivalent to number of users when it is growing at the rate of x monthly,

That is,

$1500(1+0.27)^t=1500(1+x)^{12t}$

$1.27^t=((1+x)^{12})^t$

By comparing,

$(1+x)^{12}=1.27$

$\implies 1 + x = 1.02012\implies x = 0.02012=2.012\%\approx 2.01\%$

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Ответ:

breahk12

16.03.2020

Mathematics

ANSWER

$(45 - x) \: minutes$

EXPLANATION

Total minutes Naomi has at her disposal is 45 minutes.

The number of minutes she spends getting dressed is

To find the number of minutes she still has to get ready, we subtract the minutes spent from the total minutes.

The number of minutes she still have to get ready is

$(45 - x) \: minutes$

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