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Monica [59]
2 years ago
14

Rewrite each fraction with a denominator of 121212. \dfrac{3}{4} =

Mathematics
1 answer:
Ipatiy [6.2K]2 years ago
3 0

Answer:

9/12

Step-by-step explanation:

First you multiply 3x12 which equal 36 then you divide 36 by 4 which equal 9 so your answer is 9/12  

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Answer:

Therefore the population will be maximum when x=30 inches.

Step-by-step explanation:

Given that, the mosquito population is a function of rainfall and can be approximated by the formula

N(x)= -x^3+45x^2+1000

where x is the number of inches of rainfall.

N(x)= -x^3+45x^2+1000

Differentiating with respect to x

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Again differentiating with respect to x

N''(x)=-6x+90

Now we set N'(x)=0

-3x^2+90x=0

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you have $15,000 to invest for 5 years at 5.5% annual interest rate that is compounded continuously. how much money will you hav
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Answer:

$19,747.96

Step-by-step explanation:

You are going to want to use the continuous compound interest formula, which is shown below:

A = Pe^{rt}

<em>A = total</em>

<em>P = principal amount</em>

<em>r = interest rate (decimal)</em>

<em>t = time (years)</em>

<em />

First, lets change 5.5% into a decimal:

5.5% -> \frac{5.5}{100} -> 0.055

Next, plug in the values into the equation:

A=15,000e^{0.055(5)}

A=19,747.96

After 5 years, you will have $19,747.96

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