ElectricPavlov

5.98 x 10^24 kg =  5.98 x 10^27 gm

Diameter = 12700 km    radius = 6350 x 10^5 cm

VOLUME of sphere =  4/3  pi  r^3

5.98 x 10^27 gm / (  4/3 pi (6350 x 10^5 cm)^3  )  = answer

Perimeter -  two sides = remaining two sides

54 - 18-18= 18.    This is two sides, so ONE side is 9

so the rectangle is 9 x 18.       Now You SHOULD be able to calculate the area....

Simple interest   will result in   the following amount after 'x' years

400 000  + 50 000 x

If you invest in the fund you will have

400 000 (1 + .0425)^2x                             interest is .0425 for each 1/2 year  ( 1/2 of .085 )and there are 2 periods for each x years)

When does your accumulated total earn more money compounded  than 50 000 year?

 50 000 < (400 000 + 50 000 x)  (1.045)²  - (400 000 + 50 000x)

                  436 810 + 54601.25x  - 400 000 - 50 000 x

                    36810 + 4601.25x

13190 < 4601.25x

2.8667 < x                              ~~ at 3 years the fund account would make more money that 50 000 a year

at end of  3 years you would have   550 000     

        at end of 4 years 600 000                              if you put that money into the fund, at the end of 4 years you would have

                                                                       550 000 (1.045)^2 = 600 613.75

All of this says    At the end of 3 years , put your money in the fund.

After 2 yrs @ 10% simple interest you would have

 2500 + 2500(.1)(2) = $ 3000

@ 10 % simple interest, after 5 more years you will have   3000  + 2500(.1)(5) = $ 4250.

Now take your 3000 that you have after 2 years

7% effective and compounded 5 years    3000 (1.07)^5 = $4207.66        Not quite as much as simple interest.....leave it at 10%

In TEN more years:

In ten years @ 10% you will have   3000 + 2500(.1)(10) = $5000

   @ 7% compounded you will have    3000(1.07)^10 = 5901.45         It would be best to move it to the 7% account  

sin 60  = opp/hyp   =  15/hyp

sin 60 = 15/hyp     solve for hyp

You know there is a calculator on this site, right?   Use it !  

Bleach content of constituents  = bleach content of final solution

.14(18) =   .1 (18 + x).    Solve for x, the amount a

of water required

The answer is even in the reading of the number.....read it out loud " THREE hundred".     Haha 

Use tan  77            tan 77 = opp/adj        in the is example   opp = height of building (but you must add Leon's 6 ft height to the result)   and adj is the distanc from the building  (given as 25 feet)

Subtract the two given bases (4.4 and 10.3) from the total perimeter (44.3).....what is left is the two sides....divide by two to find ONE side length.