ElectricPavlov

The initial deposit will earn interest for ten years    5000(1.04)^10 = 7401.22 at the end

the payments will accumulate as follows

F=A[ (1+i)^n -1 ] / i   where the period is  1/12th of a year (monthly periods) and inteest is 1/12 of 4% =.003333

75 (1.003333)^120 -1)/.003333 =$11043.50

TOTAL:   7401.22 + 11043.50 = $ 18,444.72 at the end of ten years

(I think)

(3 1/2) / (4 3/4)   =     (7/2) / (19/4)   =  7/2  x  4/19  =  28 / 38  = 14/19   

option A = 40(24)   =  option B = x (.1)       where x is her gross sales

40(24) = x(.1)

40(24)/.1 = x = sales = $9600

Picture of all of this:

2x-4y+9=0    is the same as    y= 1/2 x +9/4      slope is 1/2   perindicular slope is  - (1/ (1/2) ) = -2

so our line to construct will look like   y = -2x + b

now  6x-10y +24= 0   has x-intercept when y=0      at that point x= -4     so our line under construction must pass through this point   -4,0  

Substitute this point into our line under construction:       

0=-2(-4) + b    results in b=-8    

so our line is    y =  -2x -8              or      -2x -8 -y = 0         Perpindicular to the first line and passing thru (-4,0)

S-O-H-C-A-H-T-O-A

Sin = Opposite /Hypotenuse   Cosine = Adjacent / Hypotenuse Tangent = Opposite / Adjacent

Since you have all of the sides you can pick any of them and calculate the sin , cos or tan  then use the inverse function

(example sin^1)   to find the angle....

This is ONLY for RIGHT triangles

7log(3x)+3log(5x) =15

(3x)^7 * (5x)^3 = 10^15

2187 x^7  * 125 x^3 = 10^15

273375 x^(7+3) = 10^15

x^(10) = 10^15 / 273375     Take 10th root of both sides

x = 9.04324

At a simple interest rate of 5.5%

4 = (1.055)^n

n=25.89 years

9000000000/6300000 = 1428.5714285714285714

CORRECTION....I made a sign error

2+3-9x7/8=?

(2+3) - (9x7)/8 =

5 - 63/8 =

40/8 - 63/8 = -23/8 = -2 7/8