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3 years ago

What is the least common multiple of 4 and 12??

Mathematics

1 answer:

Margarita [4]3 years ago

7 0

Least common multiple of 4 and 12 is 12.

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Convert 31 minutes to seconds

In-s [12.5K]

Answer:

Step-by-step explanation: 1,860 Seconds Is Equal To 31 Minutes Hope It Helped

6 0

3 years ago

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

Zina [86]

Answer:

<em>There are approximately 114 rabbits in the year 10</em>

Step-by-step explanation:

<u>Exponential Growth </u>

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

3 years ago

Solve for w.<br><br> k = <br> 2b - 5w<br> 3k

Zarrin [17]

Theres an app called photomath that could easily solve problems like this

3 0

3 years ago

The tables below represent the profits earned by a merchandiser from four new consignments of t-shirts. Each consignment contain

steposvetlana [31]

The first consignment shows no association between the t-shirt size and the profit.

In the second consignment, the bigger the t-shirt size, the smaller the profit. There is an inverse relationship between the two variables.

In the third and fourth consignment, the bigger the size, the larger the profit. There is a direct relationship between the two variables.

5 0

3 years ago

Read 2 more answers

C(x) = 0.6x+ 15,000 and R(x) = 1.25x where x is the number of units produced.

Arisa [49]

The profit function is the difference between the cost and revenue functions

The profit function is $P(x) = 0.65x - 15000$