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3 years ago

An initial population of 460 quail increases at an annual rate of 21%. Write an exponential function

Mathematics

1 answer:

Georgia [21]3 years ago

5 0

Answer:

the expected population after 3 years is 863.7009

Step-by-step explanation:

The computation of the expected population after 3 years is shown below

P = P_0 × e^rt

where,

r = 21% = 0.21

t = 3 years

P_0 = 460

Now place these values to the above formula

P = 460 × exp(0.21 × 3)

= 863.7009

hence, the expected population after 3 years is 863.7009

We simply applied the above formula so that the correct value could come

And, the same is to be considered

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Emilie rides her bike x miles before she gets a flat tire. She walks 1/3mile to a bus stop and then takes a bus for 2 1/2miles.

ICE Princess25 [194]

Given :

Emilie rides her bike x miles before she gets a flat tire.

She walks 1/3 mile to a bus stop and then takes a bus for 2 1/2 miles.

To Find :

Which expression shows how many miles Emilie travels in all.

Solution :

We know, total distance covered is given by sum of all the distance she travelled.

Distance covered, D = x + 1/3 + 2 1/2

D = x + 1/3 + 5/2

D = (6x + 2 + 15)/6

D = (6x + 17)/6

Therefore, total distance travelled by Emilie is (6x + 17)/6 .

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3 years ago

Angelina paid $6.60 for a dozen cupcakes for a birthday party. What is the unit cost for each cupcake? *

S_A_V [24]

Answer:$.55

Step-by-step explanation:

An important thing to know is that a dozen is equal to 12.

12x= 6.60

/12 /12

x=.55

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3 years ago

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Which of the following represents the sum of (3x^2 - 3x + 8) and ( -5x^2 + 4x + 2)

Umnica [9.8K]

Answer: $-2x^{2}+x+10$

Step-by-step explanation:

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2 years ago

Which graph best represents the feasibility region for the system shown above? ( pics are in this)

zalisa [80]

Consider the system of inequalities

$\left\{ \begin{array}{l} y\ge 2 \\ x\le 6 \\ y\le 3x+2 \\ y\le -x+10. \end{array}\right.$

1. Plot all lines that are determined by equalities (see attached diagram)

$\left\{ \begin{array}{l} y=2 \text{ (red line)} \\ x= 6 \text{ (blue line)}\\ y=3x+2 \text{ (green line)} \\ y= -x+10 \text{ (orange line)}. \end{array}\right.$

2. Determine which bounded part of the plane you should select:

$y\ge 2$ means that you should take points with y-coordinates greater than or equal to 2 (top part of the coordinate plane that was formed by the red line);
$x\le 6$ means that you should take points with x-coordinates less than or equal to 6 (left part of the coordinate plane that was formed by the blue line);
for $y\le 3x+2$ you can check where the origin is placed. Since $0\le 3\cdot 0+2$ , the origin belongs to the needed part and you have to take the right part of the coordinate plane that was formed by green line.
for $y\le -x+10$ you can check where the origin is placed. Since $0\le -1\cdot 0+10$ , the origin belongs to the needed part and you have to take the bottom part of the coordinate plane that was formed by orange line.