ElectricPavlov

Same equation used for a lot of these questions....just different variable values

FV = PV (1+i)^n      FV = Future value (what we are looking for in this Q)

PV = Present value = 613

i =decimal interest PER PERIOD (month)    .034/12months = .00283333

n= periods    7 years x 12 months = 84

FV = 613 (1+.0028333)^84 =  $ 777.46

1/2 x b x h       1/2 x base x height

How high does it go?    You can find the max (or min) value of a quadratic by the formula 

c-b^2/(4a)

6- (20^2)/(4(-16) = 12.25 feet  max height

Time to hit ground

0 = -16t^2+20t+6       (had a typo after the ' 0 ' in my previous answer)

Quadratic Formula yields   

t=  (-20 +- sqrt(20^2 - 4(-16)(6)) / 2(-16)   

 =   -20 +- 28   /     -32     =  -.25    or  1.5 sec    (Throw out the neg answer....you can't have negative time)

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When the ball hits the ground  h= 0

so set your equation to = o and solve for t

Need more help???

0 - -16t^2 +20t +6      Solve for 't'  

Use the Pythagorean theorem for right triangles to solve this

a^2 + b^2 = c^2     where 'a' and 'b' are the legs of the triangle and 'c' is the hypotenuse

so:

8^2 + b^2 = 17^2     solve for the second leg, b

64 + b^2 = 289

b^2 = 289 - 64= 225

b = 15

(1 + i/365)^365     - 1   =  23.78 % APY

Minor (but IMPORTANT correction)

think of it as money if you get 30% off 8$ you would pay $2.40  less.

$ 4165.20

1.8m = 180 cm = 3 tile tall (?)       60 cm tile

6m = 600 cm = 20 tile wide(?)      30 cm tile

20 x 3 = 60 tiles total

60 x 3/5 = white = 36 white tiles

reaminder  24 tiles in ratio of 1:3       so 1/4 will be green = 6 green and  3/4 will be blue = 18 Blue tiles

FV=PV(1+i)^n        Where FV =1128.16     n = interest periods (48 months)  i = interest PER PERIOD (one month)

and PV=935.15

1128.16 = 935.15(1+i)^48

(1128.16/935.15) = (1+i)^48    take the 48th root of both sides

1.0039167 = 1+i

.0039167 = i  = interest PER MONTH        Multiply by 12 to get annual i = 4.7% APR