Here is a math question. joey made a deposit into an account that earns 6% simple interest. after 3 years, joey has earned $400. how much was joey's initial deposit?

His initial deposit is $2222.2

Step-by-step explanation:

To find the amount deposited, we will simply use the formula for calculating simple interest.

Simple Interest =

Where p = principal

           R= Rate

            T= Time

Principal is the initial amount deposited which we are ask to find.

R is given to be 6%  and T is the time which is given in years

Simple interest is the interest earned over the year which is given to be $400

Lets substitute our variable into the equation

Simple Interest =

$400  = P × 6 × 3   /     100

$400 =

We will then cross multiply

$40 000  =   18 P

To get  the value of P, we divide both-side of the equation by 18

  =  

$2222.22 =  P

P = $2222.22

Joey's initial deposit is $2222.22

geometry: triangles

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call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

25.45584