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2 years ago

Determine a series of transformations that would map polygon ABCD onto polygon A’B’C’D’?

Mathematics

1 answer:

Natalija [7]2 years ago

7 0

refection and translation i think

hdjdjsjsj I hope I got it right

I'm not sure if its a dilation if its getting smaller not bigger

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1. The number of rabbits on an island is increasing exponentially.

Zina [86]

Answer:

There are approximately 114 rabbits in the year 10

Step-by-step explanation:

Exponential Growth

The natural growth of some magnitudes can be modeled by the equation:

$P=P_o(1+r)^t$

Where P is the actual amount of the magnitude, Po is its initial amount, r is the growth rate and t is the time.

We are given two measurements of the population of rabbits on an island.

In year 1, there are 50 rabbits. This is the point (1,50)

In year 5, there are 72 rabbits. This is the point (5,72)

Substituting in the general model, we have:

$50=P_o(1+r)^1$

$50=P_o(1+r)\qquad\qquad[1]$

$72=P_o(1+r)^5\qquad\qquad[2]$

Dividing [2] by [1]:

$\displaystyle \frac{72}{50}=(1+r)^{5-1}=(1+r)^{4}$

Solving for r:

$\displaystyle r=\sqrt[4]{\frac{72}{50}}-1$

Calculating:

r=0.095445

From [1], solve for Po:

$\displaystyle P_o=\frac{72}{(1+r)^5}$

$\displaystyle P_o=\frac{72}{(1.095445)^5}$

$P_o=45.64355$

The model can be written now as:

$P=45.64355(1.095445)^t$

In year t=10, the population of rabbits is:

$P=45.64355(1.095445)^{10}$

P = 113.6

$P\approx 114$

There are approximately 114 rabbits in the year 10

5 0

2 years ago

Maria deposited 1200 in savings account for 5 years. The

fredd [130]

Answer:

compound interest would be,

1495.91

and simple interest would be,

1470

Step-by-step explanation:

compound interest would look like,

1200 x 1.045 x 1.045 x 1.045 x 1.045 x 1.045

and simple interest would look like,

1200 x 0.045 = 54 = 4.5%

54 x 5 = 270

1200 + 270 = 1470

6 0

2 years ago

The area of a triangle is 6,384cm ^ 2. Its base measures 93cm; How much is it's height?

Citrus2011 [14]

the height is 137.29

6 0

2 years ago

Tim is now earning $500 per week after receiving an increase of $45 per week. What was Tim's previous weekly salary

Mars2501 [29]

Now Tim gets $500 after it $45 was added to what he had last week

That means that
"What Tim earned last week" + $45 = $500

Subtract $45 from $500
$500-$45= $455

If you're not sure check your work
If I make $455 now and next week I get $45 more next week
$455+$45=$500
Next week I make $500

8 0

3 years ago

The sec 205° is ____ ●A negative value ●A positive value ●0

anygoal [31]

I believe the ansrew would be b

7 0

2 years ago

Read 2 more answers