Select the correct answer.

At the start of the year, 15 chameleons were introduced into a zoo. The population of chameleons is expected to grow at a rate o

bearhunter [10]

Answer:

option-B

Step-by-step explanation:

We are given

At the start of the year, 15 chameleons were introduced into a zoo

so, $P_0=15$

The population of chameleons is expected to grow at a rate of 41.42% every year

so, r=0.4142

and x represents the number of years since the chameleons were introduced into the zoo

now, we can set equation to find total population

and we get

$P(x)=P_0(1+r)^x$

now, we can plug values

$P(x)=15(1+0.4142)^x$

$P(x)=15(1.4142)^x$

Average rate of change between 2 years and 4 years:

we can use formula

$A_1=\frac{P(4)-P(2)}{4-2}$

now, we can plug values

$A_1=\frac{15(1.4142)^{4}-15(1.4142)^{2}}{4-2}$

$A_1=14.99914$

Average rate of change between 4 years and 6 years:

we can use formula

$A_2=\frac{P(6)-P(4)}{6-4}$

now, we can plug values

$A_2=\frac{15(1.4142)^{6}-15(1.4142)^{4}}{6-4}$

$A_2=29.99770$

Average rate of change between 6 years and 8 years:

we can use formula

$A_3=\frac{P(8)-P(6)}{8-6}$

now, we can plug values

$A_3=\frac{15(1.4142)^{8}-15(1.4142)^{6}}{8-6}$

$A_3=59.99425$

now, we will check each options

option-A:

we can see that

$A_3-A_2=30$

So, this is FALSE

option-B:

$A_1=\frac{1}{2}A_2$

So, this is TRUE

option-C:

This is FALSE

option-D:

we got

$A_1=\frac{1}{2}A_2$

so, this is FALSE

5 0

3 years ago

HELP ME ASAP I HAVE SO MANY QUESTIONS THAT WILL SAY THIS BUT HELP MEEE!!!(timed!!)

tester [92]

Answer:

1. $8.30

Step-by-step explanation:

so 3 hats were purchased and each cost 15.50 so

15.50*3=46.50

and the rest of the 96.30 is 6 keychains so

96.30-46.50=49.80

and there is 6 keychains

49.80/6=8.30

Each key chain was $8.30

Claire's answer is unreasonable because when we got the price of the keychains all together in Claire's mind the total for the keychains would be $4.98, which we clearly got the total for the keychains at $49.80.

8 0

2 years ago

Read 2 more answers

Ethan was feeling adventurous at lunch. Rather than choosing a single drink, he decided to mix together all the drink choices. H

jarptica [38.1K]

Answer:

1.7

Step-by-step explanation:

I divided 7 by 12 to get 1.7. Each soda gets at least 1 ounce.

3 0

2 years ago

Read 2 more answers

Find the possible ones place digit in the square root of the following (apply the properties) a) 2039184

maxonik [38]

Answer:

The answer is given below

Step-by-step explanation:

1) Find the possible ones place digit in the square root of the following

a) 2039184

The number 2039184 ends with 4, therefore the square root of the number can either end in 2 or 8

2² = 4, √4 = 2

8² = 64, √64 = 8

b) 10,004,569

The number 10,004,569 ends with 9, therefore the square root is the number will end in 3

3² = 9, √9 = 3

2) How many natural numbers lie between the squares of 41 and 42

42² = 1764 and 41² = 1681

Therefore the numbers that lie between 1764 and 1681 = (1764 - 1681) - 1 = 83 - 1 = 82

3) What will be the value of ‘ x’ in Pythagorean triplet (41, 9, x)

Pythagorean consist of three positive numbers a, b, c such that a² + b² = c². Therefore: x² + 9² = 41²

x² = 41² - 9² = 1681 - 81

x² = 1600

x = √1600 = 40

4) Check whether 15028 is a perfect square

15028 = 2 × 2 × 13 × 17 × 17

15028 = 2² × 13 × 17²

It is not a perfect square. If it is divided by 13 it becomes a perfect square, that is:

15028/13 = 2² × 17²

15028/13 = (2 × 17)² = 34²

34² = 15028/13

34² = 1156

The square root of the new number formed is 34 (i.e √1156)

5) A gardener has 5190 plants. He wants to plant in such a way that the number of rows and columns remains the same.

let the number if rows be x. Since the rows and columns are the same, the number of columns = x.

x² = 5190

x = √5190 = 72² + 6.

Therefore at least six plant would be left out

7 0

3 years ago

2)

seropon [69]

Answer:

35.98 is the answer idk if thats what u be lookin for tho

Step-by-step explanation:

5 0

3 years ago