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When posting questions such as this one, you should explain terms and phrases and what they stand for!. More specifically, what does "3/1 with a cap structure of 1.5/8" mean? My understanding is that the mortgage is amortized over a period of 20 years @ 2.75% with the initial term of 3 years. Thereafter, the rate will be adjusted by 1.5% every year. Is 8 the cap on the number of years or the cap on interest rate??? Do you actually understand it? It must be in your textbook. So, gives us some feedback as to what you think it means, so that we may be able to help you. It may be "standard language" on mortgages in the U.S., but somebody from another country may not be familiar with the language used.

Use the ^ sign. 

For example: 5 to the power of 9 -> 5^9

9^(-2/3)  =

(1 / 9)^(2/3)  =

[(1 / 9)^2 ] ^(1 / 3)  =

(1 / 81) ^(1/3) =

(  [1/27] * [1 /3] )^(1/3) =

(1 / 27)^(1 / 3)  * (1 / 3)^(1 / 3) =

1 / [ ∛27 * ∛3  ]  =

1 / [ 3 ∛3 ] 

220

0.00411522634

Please help!!!

thanks

the X² or the X³ button noob

Thanks, Isabelle.....!!!!

dats alot of years

Peasant

10^4 meters per sec./ 1,000 meters =10 km/second - the speed of the spaceship.

10^13 km to Alpha C. / 10 km/sec =10^12 seconds to get to Alpha C. Since there are:

365 days x 24 hours x 60 minutes x 60 seconds =31,536,000 seconds in 1 year. Therefore:

10^12 seconds / 31,536,000 sec. in 1 year =31,709.79 - years for the spaceship to get to Alpha C.

240( 1 - .25 )  = 240 * .75  =  240 (3/4)  = (240 / 4) * 3  = 60 * 3  = $180

10^13 km  = [10^13 * 1000 ] m  =  [ 10^13 * 10^3 ] m  =  10^16 m....so....

10^16m / [10^4 m /s]  = 

10^12 seconds

Seconds in a year  =   60min x 60 min/hr x 24hr/day x 365 days/yr  =

60 * 60 * 24 * 365  =  31,536,000 seconds / yr

So

10^12 s  / [ 31,536,000 s / yr ]  ≈  31709.8  years

I agree with CPhill he's correct! :)

 x ^ (-0.25) = 0.0003   →   1 / x^(1/4)  =  3 / 10000  →   x^(1/4)  = 10000 / 3

Take both sides to the 4th power

x = [ 10000 / 3 ] ^4  =  10000000000000000 / 81

Its 72.

C=2πr

Nice, Quazars......!!!!!

DH  = HF   and  GH = HE  ....so.....

x + 1  = 3y   →    x  = 3y - 1       (1)

3x - 4 = 5y + 1          (2)

Sub  (1)  into  (2)

3[ 3y - 1 ] - 4  = 5y + 1

9y - 3 - 4  = 5y + 1    

9y - 7  = 5y + 1     rearrange

9y - 5y  =  1 + 7

4y = 8     →  y = 2

And

x  = 3y - 1  →  3(2) - 1  =  6 - 1  =  5

Per definition of a parallelogram we can see that the two triangles are of exact same size and angles. We also know that the angles of a triangle add up to 180, we can therefore find y by subtracting 33 and 109 from 180.

\(y = 180-109-33=38\)

Because those triangles are similar we can see z and 109 are the same. 

\(z=109\)

We can solve for x the same way by using the similarity principles or by using the fact that a triangle's sum of angles is 180. 

\(x = 180 - z - y = 180 - 109 - 38 = 33\)