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Iteru [2.4K]
3 years ago
14

There are 500 rabbits in Lancaster on February 1st. If the amount of rabbits triples every month. Write a function that represen

ts the number of rabbits in Lancaster after “m” months. How many rabbits are there in Lancaster on August 1st?
Please explain
Mathematics
1 answer:
Anuta_ua [19.1K]3 years ago
8 0

Answer:

10,93,500.

Step-by-step explanation:

On first February total number of rabbits were 500.

Now it is given that after each month rabbit population will become triple of initial.

So, after one month rabbits will become 3×500.

After two months they will become 3^{2}×500.

Thus , after m months total number of rabbits will become 3^{m}×500.

Now,

On August 1 , 7 months will get passed from February 1 so putting m = 7 in the equation we get ,

Total number of rabbits = 3^{7}×500 = 10,93,500.

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Answer:

The loan amount after 3 years is $ 5,196.88

Step-by-step explanation:

Given as :

The principal amount for room loan = $ 3,800

The rate of interest applied = 11% compounded annually

The time period of loan = 3 years

Let The Total loan amount = $ A

Now,<u> From Compounded method :</u>

Amount = Principal × (1+\dfrac{\textrm rate}{100})^{\textrm time}

or, A = $ 3,800 × (1+\dfrac{\textrm 11}{100})^{\textrm 3}

or, A = $ 3,800 × (1.11)³

or,  A = $ 3,800 × 1.3676

∴ A = $ 5,196.88

So, Amount after 3 years = A = $ 5,196.88

Hence The loan amount after 3 years is $ 5,196.88 Answer

3 0
3 years ago
Please show you work Thankyou :)
Ilia_Sergeevich [38]

Answer:

B

Step-by-step explanation:

Firstly the unfilled circle means that it is not equal to

If you read the scale the unfilled circle is at -1 and the arrow is pointing left.

This means that x is smaller than -1 or -1 is greater than x read in the form x<-1

The filled circle means x can be equal to, in this case, 4. The arrow is pointing right so x is greater or equal to 4

x≥4

Therefore the answer is b

Hope this helps

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i attatched a picture of how it should look

Step-by-step explanation:

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3 years ago
Which expression is equivalent to the area of metal sheet required to make this square-shaped traffic sign? (5 points) A square
andrezito [222]
The correct answer is d) 4x² - 4x + 1.

The area of a square is found by squaring the side length:

(2x-1)² = (2x-1)(2x-1) = 2x*2x - 2x*1 - 2x*1 - 1(-1) = 4x² - 2x - 2x + 1 = 4x²-4x+1
3 0
2 years ago
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The fair will be traveling to a place that uses the metric system. They received directions to their next stop, but they are in
MariettaO [177]

Answer:

2x - 0.4x ;

8x/5 ;

Yes

Step-by-step explanation:

Let number of miles = x

Arlene:

Double number of miles = 2 * x = 2x

Subtract 20% of the result :

2x - 20% of 2x ;

2x - 0.4x

Raul:

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To know if expressions are equivalent :

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8x / 5

(8*10) / 5

80/5

= 16

Since they give the same result, we can conclude that the expression are equivalent

5 0
3 years ago
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