A = $5750

P = $5000

t = 2 years

Find the rate %

Step-by-step explanation:

   A = P (1 + rate)^t     is the annual compund interest formula  

                                        ( look it uo to double check me)

solve the formual for rate

   A/P  = [P (1 + rate)^t] / P

   A/P = (1 + rate)^t

  (A/P)^1/t  =  (1 + rate)

  [(A/P)^1/t] -1  =  (1 + rate) -1        the power (x)^1/t   is the same  t radical (x)

  [(A/P)^1/t] -1  =  rate                               (example  25^(1/2)  = √25    both = 5)

   rate = [(5750/5000)^(1/2)  - 1

          = [√(5740/5000)]  - 1

          = 0.07238

but

     the rate%  =  rate times 100

                      = (0.07238)(100)

                      =  7.238%                  <  my Final Answer

                                                                Please check my algabra and math

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet

the answer is b: 18

step-by-step explanation:

use the pythagorean theorem to .

a^2+b^2=c^2

plug 18 for "r"

the 2 legs are 18 and 24

18^2+24^2=c^2

324+576=c^2

900=c^2

c=30

30-12=18

18 is the radius

: )