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36?

I am not so sure...

Also, it says simple interest

Sorry, that is wrong.

The formula for compounded interest annually is P(1+r)^y where P = the initial investment, r = interest rate (decimal), and y = number of years. So in this case, plugging in the values given -> 800(1+0.08)^10 = 1727.14. This is the amount of money Ms. Montgomery has after 10 years (her initial investment is included).

The answer is 319.

For the number to be a perfect square, each of its factors must be a power of 2. 

To do this, we need a \(3 \times 5 = \color{brown}\boxed{15}\)

The entire pentagon can be enclosed in a \(9 \times 9 \) grid. 

The area of the pentagon is the area of the square minus all the regions outside the pentagon, but inside the square. 

We can split the area outside the pentagon into 6 distinct shapes, each of which can calculate the area as shown.

Thus, the area of the pentagon is \(81 -5-6-5-2-2.5-7 = \text{____}\)

Here is the diagram: 

I'm sorry 

I'm dont quite understand 

 Good Job!

    D

                                 Q

                M

E                       P                                 F

Let M  be the intersection point of the two medians

By the property  of medians    DM  = (2/3)18 =  12     MQ =  (1/3) 28  =  28 / 3

So....since  DP and EQ  are perpendicular.....then     DQ =  sqrt [ 12^2  + (28/3)^2 ]  = 

sqrt [ 144  + 784/9 ] =   sqrt    [ 1296 + 784 ]  / 3  =  sqrt [ 2080 ] / 3  =     4sqrt (130) / 3

And DF =   2 DQ  =      2 * 4sqrt (130) / 3    =   (8/3)sqrt (130)

sin 60 =   altitude / side length

side length =  alltitude / sin 60 =   ( 3sqrt 3) /  [ sqrt 3 / 2 ]   =   6

The longer base is  found as

5  +  2a

Where a  =   6/2  = 3

So the longer base =   11

So  the perimeter =   5 + 11 + 2*6   =  28

See the image below :

There are 100 balls in a bag.

Number of Red Balls = 0.25 * 100

                                  = 25/100 * 100 = 25

   Remaining Balls = 100 - 25 = 75

   Let there be x blue balls.

              Green Balls = 1/4x

                x + 1/4x = 75

               (4x + x)/4 = 75

                          5x = 75 * 4

                            x = (75¹⁵ * 4)/5

                               x = 60

There are 60 blue balls.

this equation is not a parabola because if you add y^2 on both sides, the squared terms cancel out and it becomes a regular straight line.

the answer is 271404/131227

If we draw  median  BO, this will split triangle ABC into  six smaller triangles that all have the same area

And triangle APC will be composed of  two of these

So  area of APC =   (2/6)Area of ABC   = (1/3) Area of ABC  =  (12 * 6)  / 2   * (1/3)    =  12

Since  2⁰ = 1

           2² = 4

           2³ = 8

           2⁴ = 16

           2⁵ = 32

           2⁶ = 64

I would expect that  g(x) = 2^x.

If so,  2⁰ = 1

Here's a similar problem......https://web2.0calc.com/questions/polynomials_15

This is possible to solve by hand  .....   but.....it's a lot of work  .....  I'd recommend  using some technology..as I did in the question cited

  .

m = the slope =  [ -3 - 1 ]  / [ 3  - - 2 ]  =   -4 / 5

Using this and  (3  -3)   we have

y = (-4/5) ( x - 3)   - 3

y =(-4/5)x + 12/5  - 3

y =(-4/5)x + 12/5 - 15/5

y = (-4/5)x  -  3/5

If we draw a radius bisecting this  chord it will do so at right angles

The distance from the origin to this line is  given by

  l 3(0) - 1(0)  - 10 l    /  [sqrt 3^2 + 1^2 ]   =    10   / sqrt  10  =  sqrt 10

So    we can form  a right triangle   with  ......   r = the hypotenuse   and legs of 5  and sqrt (10)

r^2  =  5^2  + (sqrt 10)^2  =  25 + 10  =  35

Area of the circle =  pi * r^2  = pi * 35  =   35 pi  units^2

1 divides   5  other integers

2 dvides    2  other integers

3 divides   1  other integer

We have  C(6, 2)   =  15 possible outcomes

The probability =   8  / 15

2/9  =10/ x    also means that

9/2  = x /10   multiply both sides by 10

x  =  10 (9/2)  =  45

We have   6^3   =  216 possible outcomes

Ways of rolling 12

4 , 4, 4  =  1

4, 5 , 3  = 3! =  6

4 , 6 , 2  = 3!  =  6

5, 6 ,1  = 3! =  6

5 , 5 , 2 =  3

6 , 3 , 3  =  3

                 ___

                  25

P (12)  =   25  / 216