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Novosadov [1.4K]
2 years ago
6

jennifer deposited $2500 in her savings account. her account compounds interest continuously at a rate of 6.5%. How long will it

take the amount in the account to be $3000
Mathematics
1 answer:
kiruha [24]2 years ago
3 0

Answer:

2.8 years

Step-by-step explanation:

continuous compounding formula:

A = Pe^rt

3000 = 2500e^.065t

ln(6/5) ÷ .065 ≈ 2.8 years

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Evaluate (mn)(x) for x = - 3.<br> (mn)(-3) =
liubo4ka [24]

Answer:

-3mn

Step-by-step explanation:

It seems you might be missing some of the question, as you haven't given what m and n are equal to.

If the question has just given you x, then you would simply just simplify it to get -3mn.

6 0
3 years ago
Read 2 more answers
Give two different sequences of three transformations that would map PQR onto EFG given that PQR=EFG.
Gre4nikov [31]

9514 1404 393

Answer:

  1. Translate P to E; rotate ∆PQR about E until Q is coincident with F; reflect ∆PQR across EF
  2. Reflect ∆PQR across line PR; translate R to G; rotate ∆PQR about G until P is coincident with E

Step-by-step explanation:

The orientations of the triangles are opposite, so a reflection is involved. The various segments are not at right angles to each other, so a rotation other than some multiple of 90° is involved. A translation is needed in order to align the vertices on top of one another.

The rotation is more easily defined if one of the ∆PQR vertices is already on top of its corresponding ∆EFG vertex, so that translation should precede the rotation. The reflection can come anywhere in the sequence.

__

<em>Additional comment</em>

The mapping can be done in two transformations: translate a ∆PQR vertex to its corresponding ∆EFG point; reflect across the line that bisects the angle made at that vertex by corresponding sides.

3 0
2 years ago
Read 2 more answers
1 point
Margarita [4]

Answer:

35% or 0.35

Step-by-step explanation

If 20 grams is 100%, that means each gram is 5% of the whole. So 7 time 5 is 35.

4 0
3 years ago
Find the length x to the nearest whole number. A right triangle has a vertical leg of length x units, a base leg with a length o
wel

Complete Question

The diagram for this question is shown on the first uploaded image

Answer:

The value of x is  x = 274 \ unites

Step-by-step explanation:

From the question we are told that

       The length of the vertical length is  x

      The length of the base leg is L = 330 + d units

      The length of the bisecting line segment is h

       The base angle is \theta  = 28^o

       The angle between d and line segment is  \theta_1 =  56^o

For the first angle

         Tan \theta_1 =  \frac{x}{d}

=>     d =  \frac{x}{Tan \theta _1}

 For the whole big triangle

      Tan \theta = \frac{x}{330 + d}

=>     d = \frac{x}{Tan \theta }  -330

So equating the both d

        \frac{x}{Tan \theta _1} =    \frac{x}{Tan \theta }  -330

Substitute values

        \frac{x}{Tan (56)} =    \frac{x}{Tan (28) }  -330

      0.6745 x =    1.880x  -330

       1.20549 x = 330

       x = 274 \ unites

     

   

5 0
3 years ago
Plsi I’ll give brainless
Kay [80]

Answer:

It's below in the explanation

Explanation

1. x has to be greater than 2. So 3 and 4 both work

2. x has to be less than 22. So 21 and 20 both work

3. t has to be less than 5. So 3 and 4 both work

4. There isn't a number there. what is 5 less that?

5. j has to be less than 5 so 5 and 4 both work

6. y has to be less than 4. So 4 and 3 both work

7. B has to be greater than 26. so 26 27 and 28 all work

8.There isn't a number there

9.b can be 3 or greater than 3.

10.z can be 6 or greater than 6

Hope this Helps!

4 0
2 years ago
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