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Call A the original amount in the portfolio......when $20000 is added to the high-risk component [ without adding anything to the safe component ], the new value of the portfolio   = A + 20000

So, with reference to the safe component.....20% of the new amount  =  30% of the original amount

.20(A + 20000)  = .30A

.20A  + 4000 = .30A

.10A  = 4000

A   = 40000   .....this is the original value of the portfolio

A + 20000   =  40000 + 20000  =  $60000 = new value of the portfolio

[ Melody is correct....this is a good "thinking"  problem ]  

\(\frac{20}{7}\times \frac{14}{15}\\ =\frac{\not{20}^4}{\not{7}^1}\times \frac{\not{14}^2}{\not{15}^3}\\ =\frac{8}{3}\\ =2\frac{2}{3} \)

just as Kryn said :))

Hi James,

Yes this is an unusual question.  

Let the original amount of investment be x  dollars

The new amount will be x+ 20000    dollars

30% of the original is equal to 20% of the new amount.

\(0.3*x = 0.2*(x+20000)\\ 0.3x =0.2 x+4000\\ 0.1x=4000\\ x=40000 \)

So the new total value is 40000+20000 = $60 000

check:

0.3*40000=12000

0.2*60000=12000

The answer is 213 

X - 12    .........where X is the number

Each dimension was enlarged 4 times....so....since a cylinder is a three dimensional object, the original volume was  (1/4)^3 of the enlarged volume = (1/64)*2240  = 35 cubic units

3x + 48 = 3x + 3*16

3x + 3*16 = 3(x+16)

7.2e+18

20/7*14/15 = 5*2*2/7 * 7*2/(5*3)

2*2*2/3 = 8/3

f(x) = - x^2  -6x  + 3

The x coordinate of the vertexx =  6 / (2 * -1)   =  -3 To find the y coordinate...put this back into the function   =

 - (-3)^2 - 6 (-3)  + 3  =  -9 + 18 + 3  = 12

So the vertex  = ( -3, 12 )

The axis of symmetry  →   x = -3

This parbola turns "upside" down, so the vertex is a max

Graph : https://www.desmos.com/calculator/rzmxqd4pqh

i meant 

You are a space alien. You visit planet Earth and abduct 97 chickens, 47 cows, and 77 humans. Then, you randomly select one Earth creature from your sample to experiment on. Each creature has an equal probability of getting selected.

Create a probability model to show how likely you are to select each type of Earth creature.
Input your answers as fractions or as decimals rounded to the nearest hundredth.

True buddy real athentic 

Yoouuuu whaaa

Let the number of nickles=N
Then the number of dimes =15 - N, But we have:0.05N +0.10[15 - N] =1.20
0.05N+1.5-0.10N = 1.20
-0.05N =1.20 - 1.50
-0.05N =-0.30
N =0.30/0.05
N = 6 Nickles
15 - 6 = 9 Dimes

 here is the graph, if this is what your asking for

( -2.5, 3) across the y axis  =   ( 2.5, 3)

Then.....

(2.5, 3) across the x axis  =  ( 2.5, -3)

It would be the same result had we chosen to reflect across x   and then y......

(2,-5,-3)?

the only thing I know is that angle xyz is a right angle.

We are looking for the sin of a triangle  whose cos  = x  = x  / 1

So......the hypotenuse  = 1  = r

And the sin  =  sqrt ( r^2 - x^2)  / r   =    sqrt ( 1 - x^2) / 1   =   sqrt (1 - x^2 )

What are you asking? Are you looking for a graph?

lower left side of calculater is the switch for it

It has never shown the guests before thogh, is that new?