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kolezko [41]
4 years ago
10

sally draws a triangle with one side.6 inches long and another aise.8 inches long. which is not. possible length for the third s

ide?
Mathematics
1 answer:
olchik [2.2K]4 years ago
5 0
2 inches, 3 inches, 4 inches, 4.5 inches. etc. anything below 5.708661
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How long will it take for an investment to triple if it is compounded continuously at 12%
myrzilka [38]

Answer:

9.694 years

Step-by-step explanation:

Let the investment is $P.

So, we are asked to determine the time it will grow to triple with the compound interest rate of 12%.

Let the time is y years.

So, from the formula of compound interest we can write

3P = P(1 + \frac{12}{100} )^{y}

⇒ (1 + \frac{12}{100} )^{y} = 3

⇒ (1.12)^{y} = 3

Now, taking log both sides we get,

y log 1.12 = log 3 {Since, \log a^{b} = b \log a }

⇒ 0.04922y = 0.477712

⇒ y = 9.694 years (Answer)

3 0
3 years ago
What is the simplified form of this expression? (8x − 7) + (-2x − 9) − (4x − 3)
Murljashka [212]

Answer:

The answer to your question is:         2x -13

Step-by-step explanation:

         Simplified                             (8x − 7) + (-2x − 9) − (4x − 3)

                                                       8x - 7 - 2x - 9 - 4x + 3

         Simplified like terms            8x - 2x - 4x - 7 - 9 + 3

                                                       2x -13                                                        

4 0
3 years ago
Read 2 more answers
Which ordered pairs are in the solution set of the system of linear inequalities? y > x y < x + 1 (5, –2), (3, 1), (–4, 2)
steposvetlana [31]

To check which ordered pair (point) is in the solution set of the system of given linear inequalities y>x, y<x+1; we just need to plug given points into both inequalities and check if that point satisfies both inequalities or not. If any point satisfies both inequalities then that point will be in solution.

I will show you calculation for (5,-2)

plug into y>x

-2>5

which is clearly false.

plug into y<x+1

-2<5+1

or -2<6

which is also false.

hence (5,-2) is not in the solution.

Same way if you test all the given points then you will find that none of the given points are satisfying both inequalities.

Hence answer will be "No Solution from given choices".

5 0
3 years ago
Read 2 more answers
A box contains four equal sized cards labeled 1, 3,5, and 7. Tim will select one card from the bow. What is the probability that
Zielflug [23.3K]

Answer: The probability is zero.

Step-by-step explanation:

The labels on the 4 cards are 1, 3, 5 and 7. Because the cards are equal, the probability of dragging at random each one of them is equal to 1/4 = 0.25.

Now, the probability that Tim selects a card labeled with a 4 is equal to the number of cards labeled with a 4, divided the total number of cards.

We do not have cards labeled with a 4, so the probability is:

p = 0/4 = 0

because we do not have any card labeled with a 4, the probability of selecting one at random is equal to zero.

8 0
3 years ago
Leo is planning a trip with his friends by renting a bus. He found that the bus cost $75.50 for 5 people if he is planning to go
kolezko [41]

Step-by-step explanation:

75.50 x  13

=151 is the anser for 10 people  you need to figure out how much it costs per person to find your complete answer and don't forget get that your adding "Leo " into the eqation

8 0
3 years ago
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