Derek found a function that approximately models the population of iguanas in a reptile garden, where x represents the number of years since the iguanas were introduced into the garden.i(x) = 12(1.9)^x

Rewrite this function in a form that reveals the monthly growth rate of the population of iguanas in the garden. Round the growth factor to the nearest thousandth.

Answers

Answer 1

Answer:

Answer:

$i(x)=12 * (1+(0.9)/(12))^(12x)$ and growth rate factor is 0.075

Step-by-step explanation:

The function that models the population of iguanas in a reptile garden is given by $i(x)=12 * (1.9)^(x)$ , where x is the number of years.

Since, $i(x)=12 * (1.9)^(x)$

i.e. $i(x)=12 * (1+0.9)^(x)$ .

Therefore, the monthly growth rate function becomes,

i.e. $i(x)=12 * (1+(0.9)/(12))^(x * 12)$ .

i.e. $i(x)=12 * (1+(0.9)/(12))^(12x)$ .

Hence, the monthly growth rate is i.e. $i(x)=12 * (1+(0.9)/(12))^(12x)$ .

Also, the growth factor is given by $(0.9)/(12)$ = 0.075.

Thus, the growth factor to nearest thousandth place is 0.075.

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The product of two numbers is 450. the first number is half the second number. which equation can be used to find x, the greater number? = 450 225x2 = 0 x2 = 450 450x2 = 0

Answers

Answer:

let the two number be x and y.

Given: the product of two numbers is 450.

then: $x* y =450$ ......[1]

Also from the given condition that; the first number is half the second number. Also, x>y.

i.e, $y=(1)/(2)x$

Substitute this in equation [1];

$x * (1)/(2)x =450$

$(1)/(2)x^2 = 450$ [∴ $x^a * x^b =x^(a+b)$ ]

Multiply both sides by 2; we get

$x^2 =450 * 2$

$x^2=900$

$x=√(900) =30$

Now, substitute this x value in [1], to solve for y;

$30 * y=450$

Divide by 30 from both the sides, we get;

$y = (450)/(30)=15$

Therefore, the equation $(1)/(2)x^2 = 450$ which can be used to find the value of x.

The greater number is x = 30.

The equation is used to find x is;

$\rm x^2=900$

The value of the greater number x is 30.

Given

The product of the two numbers is 450.

The first number is half the second number.

Let the first number be x and the second number be y.

The product of the two numbers is 450.

$\rm x* y = 450$

The first number is half the second number.

$\rm x = (1)/(2) y$

Substitute the value of x in equation 1 from equation 2

$\rm x * y = 450\n\nx * (1)/(2)x = 450\n\nx^2 = 450 * 2\n\nx^2=900\n\nx=30$

Substitute the value of x in equation 1

$\rm x* y=450\n\n30 * y = 450\n\ny = (450)/(30)\n\ny = 15$

Hence, the value of the greater number x is 30.

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Write 0.31¯¯¯¯¯ as a simplified fraction. Enter your answer as a simplified fraction, formatted like this: 42/53. A) 31/100 B) 31/10 C) 31/99 D) 31/33

Answers

The answer of ‘Write 0.31 as a simplified fraction’ is A) 31/100

Tea from Britain costs $2.50 to produce. It is sold in America at a price of $3.50 (to make a profit of $1.00) Tea in America costs $3.00 to produce. It is sold at a price of $4.00 (to make a profit of $1.00) If there is a 50% Tariff on tea, who would you buy your tea from?

Answers

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There are 24 men in a room¼ of the men are wearing red shirts
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Answers

Answer:

Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

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