All categories

2 years ago

The fox population in a certain region has an annual growth rate of 4 percent per year. It is estimated that

Mathematics

1 answer:

Minchanka [31]2 years ago

7 0

Answer:

(a) P(t) = 12100*(1.04^t)

(b) in 2008, estimate of population is 16560 (to the nearest integer)

Step-by-step explanation:

Population in 2000, P(0) = 12100

Growth rate = 4% each year

(a) function model for the t year after 2000 (exponential model)

P(t) = 12100*(1.04^t)

(b) for 2008,

P(2008-2000)

= P(8)

= 12100*(1.04^8)

= 12100 * 1.368569

= 16559.7

= 16560 (nearest integer)

You might be interested in

PLEASE HELP ME I BEG YOU

Rus_ich [418]

You need to find "two-fifths of 30." Of here means multiplication:

$\begin{aligned}\dfrac{2}{5}\cdot 30 &= \dfrac{2}{5}\cdot\dfrac{30}{1}\\[0.5em] &= \dfrac{60}{5}\\[0.5em] &= 12\end{aligned}$

There are 12 athletes in the club.

5 0

2 years ago

Read 2 more answers

Marissa has 10 grapes. Roger has 3 times as many grapes as Marissa. How many grapes do Marissa and Roger have in all?

postnew [5]

Answer:

The answer is 40

Step-by-step explanation:

First, since roger has 3 times as many grapes as Marissa. do 10 times 3. The answer is 30. Roger has 30 grapes. The question is asking how much they have all together. Add 30 plus 10 and the answer that you will get is 40. The answer is 40

7 0

2 years ago

Given any triangle in the plane, associate to each side an outward pointing normal vector of the same length as the side. Show t

Zigmanuir [339]

Let , a, b and c be the length of three sides of triangle, represented in terms of vectors as $\vec{a},\vec{b},\vec{c}$ .

Now, vector of same Magnitude acts as normal vector to each side.

So, equation of any vector p having normal q is given by

$\vec{p} \times\vec{q}$

Now sum of three vector and it's normal is given as

$=\vec{a} \times\vec{a}+\vec{b} \times\vec{b}+\vec{c} \times\vec{c}\\\\=0+0+0\\\\=0$

Cross product of two identical vectors is Zero.

$\rightarrow \vec{i} \times\vec{i}=0$

8 0

2 years ago

Which expression is the same as 1 ten, 3 ones, and 9 thousands?

DerKrebs [107]

The equivalent number is 9013

5 0

2 years ago

Dennise is making floating shelves. She has two pieces of wood,

vredina [299]

Answer:

Step-by-step explanation:

15+18=33

33/3=11

IF DENISE CUTS EACH IN 3 FEET , SHE CAN GET 11 PIECES

IF SHE CUTS IN 11 FEET , SHE CAN GET 3 WOOD PIECES

THE SIZE OF SHELVES IS NOT MENTIONED SO THIS ANSWER IS CORRECT

8 0

2 years ago