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Vlada [557]
3 years ago
15

Suppose you win the lottery and you can either take $1400 in a

Mathematics
1 answer:
Setler [38]3 years ago
3 0

Answer:

Better deal will be to take money after one year because there will be a profit of $1400 - $1060 = $340

Step-by-step explanation:

It is given that there is two option either you take $1400 after one year or $100 now

It is given that you can invest $1000 at a rate of 6% interest

So interest in one year =\frac{1000\times 6\times 1}{100}=$60

So amount after 1 year = $1000+$60 = $1060

So better deal will be to take money after one year because there will be a profit of $1400 - $1060 = $340

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Brrunno [24]

Answer:

- (27n^3 - 12n - 1) over 3n

Step-by-step explanation:

4 0
3 years ago
Can you guys help me ?
AysviL [449]

Answer:

C the 12th root of (8^x)

Step-by-step explanation:

This becomes 8 ^ x/4  ^ 1/3

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8 ^(x/12)

8 0
3 years ago
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The total monthly profit for a firm is P(x)=6400x−18x^2− (1/3)x^3−40000 dollars, where x is the number of units sold. A maximum
wlad13 [49]

Answer:

Maximum profits are earned when x = 64 that is when 64 units are sold.

Maximum Profit = P(64) = 2,08,490.666667$

Step-by-step explanation:

We are given the following information:P(x) = 6400x - 18x^2 - \frac{x^3}{3} - 40000, where P(x) is the profit function.

We will use double derivative test to find maximum profit.

Differentiating P(x) with respect to x and equating to zero, we get,

\displaystyle\frac{d(P(x))}{dx} = 6400 - 36x - x^2

Equating it to zero we get,

x^2 + 36x - 6400 = 0

We use the quadratic formula to find the values of x:

x = \displaystyle\frac{-b \pm \sqrt{b^2 - 4ac} }{2a}, where a, b and c are coefficients of x^2, x^1 , x^0 respectively.

Putting these value we get x = -100, 64

Now, again differentiating

\displaystyle\frac{d^2(P(x))}{dx^2} = -36 - 2x

At x = 64,  \displaystyle\frac{d^2(P(x))}{dx^2} < 0

Hence, maxima occurs at x = 64.

Therefore, maximum profits are earned when x = 64 that is when 64 units are sold.

Maximum Profit = P(64) = 2,08,490.666667$

6 0
3 years ago
Hi guys can you answer my math question​
fredd [130]

Answer:

4

Step-by-step explanation:

It is. I just know it lol

5 0
3 years ago
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Emma earned a grade of 95% on her multiple choice history final that had a total of
Scrat [10]

Answer:

171

Step-by-step explanation:

180×95/100

180×95=17100

17100/100=171.

That is how I got my answer.

7 0
2 years ago
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