suppose that the population of deer in a state is 16,000 and is growing 1%each year Predict population after 6 years

Question

Question

in progress 0

Mathematics Thu Giang 5 years 2021-08-29T04:17:04+00:00 2021-08-29T04:17:04+00:00 1 Answers 33 views 0

Answers ( )

Name*

E-Mail*

Website

Featured image

Browse

Captcha* Giải phương trình 1 ẩn: x + 2 - 2(x + 1) = -x . Hỏi x = ? ( )

Answer*

bonexptip · Answer 1 · 2021-08-29T04:18:48+00:00

bonexptip

0

2021-08-29T04:18:48+00:00 August 29, 2021 at 4:18 am

Reply

Answer:

16984

Step-by-step explanation:

Given

$a = 16000$ —- Initial

$r = 1\%$ — rate

Required

Determine the population after 6 years

To do this, we make use of the following exponential function

$f(x) = a(r+1)^x$

Substitute values for a and r

$f(x) = 16000(1\%+1)^x$

Express 1% and decimal

$f(x) = 16000(0.01+1)^x$

$f(x) = 16000(1.01)^x$

The population after 6 years is:

Substitute 6 for years

$f(6) = 16000(1.01)^6$

$f(6) = 16984.3224096$

$f(6) = 16984$ — approximated