George and a total of $592 in simplest interest from two separate accounts. In an account earning 6% interest, George invested $1800 more than three times the amount he invested in an account earning 4%. How much did he invests in each account

The amount invested at 4% is $2,200 and the amount invested at 6% is $8,400

Step-by-step explanation:

we know that

The simple interest formula is equal to

where

I is the Final Interest Value

P is the Principal amount of money to be invested

r is the rate of interest  

t is Number of Time Periods

Let

x ----> the amount invested at 4%

(3x+1,800) -----> the amount invested at 6%

we have that

The interest earned by the account at 4% plus the interest earned by the amount at 6% must be equal to $592

so

The linear equation that represent this situation is

solve for x

therefore

The amount invested at 4% is $2,200 and the amount invested at 6% is $8,400

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.

12

step-by-step explanation:

a triangle's   full angle is 180 degrees so 180 - 156 = 24. 24/2=12