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kaheart [24]
3 years ago
8

Suppose an investment of $2,300 doubles in value every decade. The function F(X)= 2300 * 2^X gives the value of the investment a

fter x decades. How much is the investment worth after 2 decades?
a.)$2,355,200
b.)$92,000
c.)$46,000
d.)$9,200 I think the answer is
c. Thank You.
Mathematics
1 answer:
kotykmax [81]3 years ago
8 0

You hit the right target!

\[\Huge\color{}\checkmark\]

It is 9200

Just to be sure, substitute with x = 2 in the equation.

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find two positive real numbers such that they sum to 108 and the product of the first times the square of the second is a maximu
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The two positive numbers are 36 and 72 which gives a sum equal to 108 and the product of 36 and the square of 72 is a maximum.

Any integer greater than zero is considered a positive number. A positive number can either be written as a number or with the "+" symbol in front of it.

Let us consider the two positive real numbers as x and y. Then, their sum is written as,

x+y=108

Then, y=108-x

And the product is written as,

P=xy²

Substitute value of y in the above equation, we get,

\begin{aligned}P&=x(108-x)^2\\&=x(11664-216x+x^2)\\&=11664x-216x^2+x^3\\&=x^3-216x^2+11664x\end{aligned}

Now, differentiate P with respect to x, and we get,

\begin{aligned}\frac{dP}{dx}&=3x^2-432x+11664\\&=x^2-144x+3888\end{aligned}

Solving the above equation to zero, we get,

\begin{aligned}x^2-144x+3888&=0\\x^2-36x-108x+3888&=0\\x(x-36)-108(x-36)&=0\\(x-108)(x-36)&=0\\x&=\text{108 or 36}\end{aligned}

Substitute values of x in y=108-x, to get values of y.

If we substitute x=108, we get the y value as zero which doesn't give the required solution.

But, if we substitute x=36, we get,

\begin{aligned}y&=108-36\\y&=72\end{aligned}

Thus, the two positive numbers are 36 and 72.

To know more about positive numbers:

brainly.com/question/1635103

#SPJ4

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If it's described as my drawing:

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Matter is in a liquid state when its temperature is between its melting point and its boiling point. Suppose that some substance
slavikrds [6]

Answer:

x<39.76 OR x>388.23 (In degrees Celsius.

Step-by-step explanation:

Melting point is when a a substance turns from a solid to liquid, and boiling point is the point where it turns from a liquid to a gas. That means in between these points is when the matter is in the liquid state, so it could be anything not included from the range 39.76-388.23.

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