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jek_recluse [69]
3 years ago
14

How long will it take for $3000 to grow to $7000 if it is deposited in an account earning 7% interest?

Mathematics
1 answer:
Elena-2011 [213]3 years ago
7 0
The answer is about 13 years
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What is the height, x, of the equilateral triangle shown?
Mamont248 [21]

Answer:

B

Step-by-step explanation:

Drop an altitude. Either of the two resulting right triangles with legs of length 5 and x and a hypotenuse of 10.

By the Pythagorean theorem, it follows that the answer is B.

6 0
2 years ago
Alberta has 5 shirts and 4 pants. 3 of the shirts are her favorite and 2 of the pants are her favorite. If Alberta chooses an ou
tiny-mole [99]

Answer:

\frac{3}{10}

Step-by-step explanation:

In probability, "AND" means "multiplication" and

"OR" means "addition".

We want the probability that she picks FAVORITE SHIRT "AND" FAVORITE PANT.

Probability that she picks favorite shirt = 3/5

Probability that she picks favorite pants = 2/4 = 1/2

Since, "AND", we "multiply" both to get:

3/5 * 1/2 = 3/10

5 0
4 years ago
Two fractions with different denominators that have the sum of 1/3
klemol [59]
1/4. and. 1/12. will do that.
3 0
3 years ago
How many acute angles does an obtuse triangle have​
TiliK225 [7]

Answer:

i think 2

Step-by-step explanation:

ya i think 2

6 0
2 years ago
10 POINTS!!! FULL ANSWER WITH FULL STEP BY STEP SOLUTION PLEASE
Inga [223]
A) Profit is the difference between revenue an cost. The profit per widget is
  m(x) = p(x) - c(x)
  m(x) = 60x -3x^2 -(1800 - 183x)
  m(x) = -3x^2 +243x -1800
Then the profit function for the company will be the excess of this per-widget profit multiplied by the number of widgets over the fixed costs.
  P(x) = x×m(x) -50,000
  P(x) = -3x^3 +243x^2 -1800x -50000

b) The marginal profit function is the derivative of the profit function.
  P'(x) = -9x^2 +486x -1800

c) P'(40) = -9(40 -4)(40 -50) = 3240
  Yes, more widgets should be built. The positive marginal profit indicates that building another widget will increase profit.

d) P'(50) = -9(50 -4)(50 -50) = 0
  No, more widgets should not be built. The zero marginal profit indicates there is no profit to be made by building more widgets.

_____
On the face of it, this problem seems fairly straightforward, and the above "step-by-step" seems to give fairly reasonable answers. However, if you look at the function p(x), you find the "best price per widget" is negatve for more than 20 widgets. Similarly, the "cost per widget" is negative for more than 9.8 widgets. Thus, the only reason there is any profit at all for any number of widgets is that the negative costs are more negative than the negative revenue. This does not begin to model any real application of these ideas. It is yet another instance of failed math curriculum material.

3 0
3 years ago
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