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2 years ago

4

an initial population of 820 quail increases at an annual rate of 23%. write an exponential function to model the quail populati

on. what will the approximate population be after 3 years

1 answer:

Mars2501 [29]2 years ago

4 0

If you would like to know what will the approximate population be after 3 years, you can calculate this using the following steps:

an initial population ... 820 quail
an annual rate ... 23%

an exponential function to model the quail population:
f = 820(1+23%)^t = 820(1+23/100)^t
f ... quail population
t ... time (years)

t = 3 years
f = 820(1+23/100)^t = 820(1.23)^3 = 1525.9 quail

The correct result would be 1525.9 quail after 3 years.

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6 questions = 30 points someone please help me

eduard

Answer:

1)D

2)D

3)A

4)B

5)Cannot Answer - No data

6)C

7)C

6 Questions answered for 30 points.

Step-by-step explanation:

Answer for the 1st Question,

Area of a cylinder can be calculated by,

Area of the cylindrical part = $2\pi rL$

Area of the parts that cover the open parts of cylinder = $2\pi r^2$

Therefor Total are of the cylinder = $2\pi rL+2\pi r^2$

Area of the total cylinder = $2*3.14*6.8*14.2+2*3.14*6.8^2$

= $896.784$

<u>Therefor best estimate will be D) 923 in^2</u>

Answer for the 2nd Question,

ABC is a triangle.

By Pythagorean theorem it says,

$(AC)^2+(CB)^2=(AB)^2$

The distance from A to C = 6

The distance from C to B = 5

$(AC)^2=6^2=36$

$(CB)^2=5^2=25$

$(AC)^2+(CB)^2=(AB)^2=36+25=61$

Therefor $(AB)^2=61\\(AB)=\sqrt{61}$

<u>Therefor Answer is D) Sqr 61</u>

Answer to Question 3

To find the trend you can draw an imaginary line that fits the scatter plots.(I have attached a image drawing the imaginary lines)

Then the revenue can be calculated by calculating the area covered by the imaginary line drawn or area "under" the curve.

Area of the Store 1 = $\frac{1}{2} *(110+40)*110=8250$

Area of the Store 2= $\frac{1}{2} *110*80=4400$

Therefore Revenue from Store 1 = $8250

Revenue from Store 2 = $4400

<u>Answer is A) Store 1 has more sales revenue</u>

Answer for Question 4

$\frac{5}{12}=0.4167\\\frac{5}{11}=0.4545$

You can straight away discard answer D because it is less than both 5/12 and 5/11.

Also you can discard Answer C because 25/264 is very small (less than 1/10=0.1)

$\frac{11}{23} =0.4782$ , therefor this is not in between those two numbers.

Then it has to be $\frac{115}{264} =0.4356$

<u>Answer is B)</u>

Answer for question 6

The equation of a straight line is of the form $y=mx+c$

here m is the gradient and c is the intercept.

Find the intercept(c) by finding the y value when x value is 0, here it is +1.

Gradient (m) of the graph can be found by,

$\frac{y1-y2}{x1-x2} =\frac{7-3}{3-1} =2$

Therefor the equation of the graph is,

$y=2x+1$

<u>Answer is C</u>

Answer for question 7

$\frac{7}{8} =0.875$

$\frac{6}{9} =0.67$

We can discard answer A because the value is close to 0.5

We can discard answer B because 3/17 is a very small value (0.17)

$\frac{53}{72} =0.73$ , This falls between the above 2 numbers.

<u>Therefor answer is C</u>

5 0

2 years ago

Three times the sum of half Carlita’s age and 3 is at least 12.What values represent Carlita’s possible age? graph the solution

gulaghasi [49]

<em><u>3 x 12 </u></em>

<em><u>I think because you find out how to graph in the corresponding area on the graph </u></em>

5 0

2 years ago

Read 2 more answers

Chris has a large collection of hockey cards and wants to get rid of some of his hockey cards he gives 2 cars away on day 1,4 ca

Marizza181 [45]

Answer:

I'm not sure for which answer you're asking for so I'll give you all of them. On the tenth day, Chris will give away 1024 cards.

Step-by-step explanation:

On the fourth day he will give away 16, on the fifth day 32, on the sixth day 64, on the seventh say 132, on the eighth day 264, on the ninth day 528, and on the tenth day 1024

6 0

2 years ago

If the area of the rectangle is 120, what is the area of triangle cpd

zimovet [89]

Answer:

Step-by-step explanation:

area of rectangle=120

find area of CPD

area=1/2 (area of the rectangle)

area = 1/2×120=60

5 0

2 years ago

Calvin deposits $400 in a savings account that accrues 5% interest compounded monthly. after c years, calvin has $658.80. makayl

vodomira [7]

You will need a special formula to compute this.
Years = log (total/principal) / [n * log * (1 + rate / n)]

Part A) Calvin $400 5% monthly 658.80 Time = ?
Monthly compounding "n" = 12
Years = log(658.80/400) / [12 * log(1+ (.05/n))
Years = log ( <span> <span> <span> 1.647 </span> </span> </span> ) / (12 * log ( <span><span><span>1.0041666667 </span> </span> </span> )
Years = 0.21669359917 / 12 * 0.0018058008777
Years = <span> <span> </span></span><span><span>0.21669359917 / 0.0216696105 </span>
</span>Years = <span><span>9.999884362 </span>

</span>
Part B) Makayla 300 6% quarterly 613.04Time=?
Quarterly compounding
n = 4
Years = log (total/principal) / [n * log * (1 + rate / n)]
Years = log (613.04/300) / [4 * log (1 + .06/4)]
Years = log ( <span> <span> <span> 2.0434666667 </span> </span> </span> ) / 4 * log (1.015)
Years = 0.31036755784 / 4 * 0.0064660422492
Years = 0.31036755784 / <span> <span> <span> 0.025864169 </span> </span> </span>
Years = <span> <span> <span> 11.9999044949 </span> </span> </span>

So, the difference is roughly 3 years.

3 0

2 years ago

Read 2 more answers