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This is a FINANCIAL formula for finding the regular PMT of a loan, mortgage, annuity........etc.

P=(R*A) / [1-(1+R)^-60] {Changed your i to R, because somebody has confused it with complex i}

Solve for A:
P = (A R)/(1-1/(R+1)^60)

P = (A R)/(1-1/(R+1)^60) is equivalent to (A R)/(1-1/(R+1)^60) = P:
(A R)/(1-1/(R+1)^60) = P

Divide both sides by R/(1-1/(R+1)^60):
Answer: |  A = (P (1-1/(R+1)^60))/R

6.49

                                                        1

                                               1              6

                                          1           5           12

                                      1        4             7           8  

                                   1       3          3           1

( 1, 3, 3, 1 )

Let the cost of the lemonde per L   = C

Then, the cost of the juice per L   = 2C

And quantity * price per L   = total cost.....so we have

8C  + 1 (2C)  = 12

8C + 2C  = 12

10C  = 12      divide both sides by 10

C = 12/10 euros  = 1.2 euros.....this is the cost of each L  of lemonade

So.....the cost of each L  of juice is twice as much  =  2.4 euros

Check

8(1.2)  + 1(2.4)  =

9.6  + 2.4  =

12 euros

Do you want to find 70km/hr in terms of km/s ??    ......if so, we have

70km/hr *   1 hr / 3600 s   =   about  70/3600 km/s =  about 0.0194 km/s

We have

20'  =  [20/60]°  = [1/3]°

tan ( 15 + 1/3)   = H / 6.23     where H is the height we are looking for.....solve for H

H  = 6.23 tan (15 + 1/3)  = about 1.71 mi

One question, heureka.......did you you find the number of partitions by "trial and error"  or did you use some algorithm for this???

If that's a circle then they are both meant to be ^2

Centre is (2,3) radius=4

That is very nice, heureka  !!!

P=(i*A)/[1-(1+i)^-60]     multiply both sides by  [1-(1+i)^-60]

P * [1-(1+i)^-60]   =  i * A    divide both sides by i

P * [1-(1+i)^-60] / i    =  A

Solve for A:
P = (1073741824 i A)/1073741825

(1073741824 i A)/1073741825 = (1073741824 i A)/1073741825:
P = ((1073741824 i) A)/1073741825

P = ((1073741824 i) A)/1073741825 is equivalent to ((1073741824 i) A)/1073741825 = P:
((1073741824 i) A)/1073741825 = P

Divide both sides by (1073741824 i)/1073741825:
Answer: |  A = -((1073741825 i) P)/1073741824

40'  =   [40/60] °   =  [2/3] °

We can use the tangent function, here

tan [ 23 + 2/3]   =  75.3  /  D     where D is the distance we want........solve for D

D = 75.3  / tan [23 + 2/3 ]   = about  171.8 ft

OK.....thanks, Alan......I think yours is the correct interpretation......!!!!

46 min =  46/60°  = 23/30 °

Using the tangent function, we have

tan [31  + 23/30]  = H /   152.3    where H is the pole height  ......     solve for H

152.3 * tan [ 31 + 23/30]  =  H  = about 94.3 ft

I guess they are just after the (slanted) surface area of a cone of diameter 36 ft and height 18 ft.  This is given by;

Area = pi*radius*slant height = pi*18*sqrt(18^2 + 18^2)  →  pi*sqrt(2)*18^2  ft^2

.

The radius of this tent - when lying flat - will  equal 18 ft

But......when standing.....this will form the slant height of the tepee

However....we have a problem.......the slant height  of this tepee  can never be the same as the standing height [ the slant height has to be greater]

Are you sure you have your numbers correct ????

3463434534535/12*4535345365462435244/20=?????????              PLEASE!!!

M + 9 > 25    where M is the number of "my" marbles.

27 ° 10'   =  [27 + 1/6]°

One of the equal sides will form the hypotenuse of a right triangle......and the altitude will form a leg opposite the given angle.....so we can use the sine function to find the height, H

sin [ 27 + 1/6]  = H / 6.73      rearrange to solve for H

H = sin [27 + 1/6] * 6.73  = about   3.07 in

We can find the length of 1/2 of the base using the Pythagorean Theorem, since this will equal the remaining leg  =

1/2  of the base = √[ 6.73^2  - 3.07^2]   = about 5.98 in

So....the base  = twice this = about 11.96 in