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2 years ago

Emilio bought an ant farm that had 15 ants in it already. He read somewhere that

Mathematics

1 answer:

Nina [5.8K]2 years ago

6 0

The number of ants in his farm after 12 weeks is 218.

Step-by-step explanation:

Step 1:

It is given that there are 15 ants initially and the ant population increases by 25% each week.

This is an exponential rate of increase that can be modeled by the following equation:

Number of ants after n weeks = Initial number of ants * $(1 + rate of increase) ^{n}$

Step 2:

Rate of increase = 25% = 25 / 100 = 0.25

Number of weeks = 12

Number of ants after 12 weeks = 15* $(1 + 0.25 )^{12}$ = 218.27 (rounded off to 218)

Step 3:

Answer:

The number of ants in his farm after 12 weeks is 218.

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Which expression represents exponential decay

Lelu [443]

Given:

The exponential equations in the options.

To find:

The equation which represents exponential decay.

Solution:

The general exponential equation is

$y=ab^x$

where, a is initial value and b is growth rate.

If b<1, then it is an equation of exponential decay.

If b>1, then it is an equation of exponential growth.

In option A, b=31>1, i.e., exponential growth.

In option B, b=3.1>1, i.e., exponential growth.

In option C, b=0.13<1, i.e., exponential decay.

In option D, b=1.03>1, i.e., exponential growth.

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Therefore, the correct option is C.

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2 years ago

What number two numbers when multiplied equal 24 but when added equal -4

madam [21]

Since it says when Added they are a negative and when multiplied they are positive, we know our two numbers are negative.
think of all multiples of 24
6 and 4
8 and 3
12 and 2
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however, none of our choices here would be correct.

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3 years ago

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kompoz [17]

Answer:

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Step-by-step explanation:

From the Euclidean theorem y^2 = 16 × 41 ➡ y^2 = 656 and y = 4√41

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3 years ago

13. Solve this equation for A: A/2=4<br> O A. 2<br> OB.4<br> C.6<br> D. 8

Galina-37 [17]

Step-by-step explanation:

A/2 = 4

A = 4 x 2

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I think this should be the answer

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2 years ago

Read 2 more answers

In 2015, eighty-seven babies per one thousand died before reaching one year of age. This figure is called the

k0ka [10]

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Learn more about infant mortality rate here: brainly.com/question/13493110

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1 year ago