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PSYCHO15rus
2 days ago
14

Dan bought a new computer for $900. Each year, the value of the computer decreased by 25% of the previous year’s value. At this

rate, what can Dan expect the approximate value of the computer to be after 7 years?
Mathematics
1 answer:
Zina [9.1K]2 days ago
3 0
The total is $225 Please award me brainliest and I'll add you as a friend. Step-by-step explanation: 900 x 25 ÷ 100.
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Maximum value of x3y3 + 3 x*y when x+y = 8.
Inessa [8997]

Response:

The outcome is 4144.

Detailed explanation:

We need to determine the peak value of f(x)= x^{3}y^{3}+3xy when x+y=8

We can represent x+y=8 as y=8-x

Plugging the value of y

f(x)=x^{3}(8-x)^{3} +3x(8-x)

= 3x^{2}(8-x)^{2}[-x+8-x]+3[-x+8-x]

= 3(8-2x)[x^{2}(8-x)^{2}+1]

To find the maximum, we'll set the equation to 0.

Thus, we find:

8-2x=0 => x = 4

And since y=8-x

y =8-4= 4 > y = 4

Hence, we will substitute these values into the equation to ascertain the maximum value.

= x^{3}y^{3}+3xy

= xy(x^{2}y^{2}+3)

= 4\times4((16\times16) +3)

= 16(259) = 4144

8 0
14 days ago
Read 2 more answers
What is a rational number that is located between 31.5 and 31.6
Svet_ta [9496]
A rational number refers to any number that can be written as a fraction, such as 2, -3, 2/3, etc.

Essentially, any non-repeating number found between 31.5 and 31.6 would suffice.

Examples include: 31.51, 31.52, 31.568, 31.599

I suggest 31.55 since it’s straightforward and can be expressed as the fraction: 361/20

4 0
9 days ago
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Evaluate. 58−(14)2=58-142= ________
Zina [9164]

In this scenario, we start with the following expression:

58- (14) ^ 2

The first step involves evaluating the quadratic component.

Next, we have:

58- (14) ^ 2 = 58-196

The following step is to subtract the two resultant values:

58- (14) ^ 2 = -138

It is clear that the outcome of this operation is a negative value.

Answer:

The expression results in:

58- (14) ^ 2 = -138

7 0
1 month ago
Henri has $24,000 invested in stocks and bonds. The amount in stocks is $6,000 more than three times the amount in bonds. Call t
zzz [9073]

Answer:

The solution to this problem indicates that Hernry invested $18,000 in stocks and $6,000 in bonds.

Step-by-step explanation:

First, you need to multiply 6 by 3. The outcome is 18, meaning it is three times higher than the bond amount. Next, subtract $24,000 from $18,000, which gives you $6,000, representing the bond investment. Hence, it is three times less than the stocks as the question describes.

4 0
8 days ago
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How does the graph of mc024-1.jpg compare to the graph of the parent function mc024-2.jpg?
babunello [8412]
The question is as follows:
<span>In what ways does the graph of g(x)=1/x-5+2 differ from the graph of the parent function f(x)=1/x?
</span>
=================================================
Solution:
========
The given function ⇒ g(x) = \frac{1}{x-5} +2

The parent function of the provided function ⇒ f(x)= \frac{1}{x}

After graphing both equations, as illustrated in the attached image.
It can be concluded that
<span>g(x) is translated 5 units to the right and 2 units upwards from f(x).
</span>

Thus, the correct answer is option 2
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6 0
22 days ago
Read 2 more answers
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