Linda won $200,000 in a state lottery. she first paid income tax on 30% on the winnings. she invested some of the rest at 1.5% and some at 4%, earning $4350 interest per year. how much did she invest at each rate?

She invested $ 50000 at 1.5% rate and $ 90000 at 4% rate.

Explanation

Total amount of winnings = $ 200000

She first paid income tax on 30% on the winnings. So, the amount paid as income tax dollar.

Remaining amount = $ 200000 - $ 60000 = $ 140000

Suppose, she invested   dollar at 1.5% rate.

That means, she invested dollar at 4% rate.

Given that, the total amount of interest earned = $ 4350

So, the equation will be.....

So, amount of investment at 1.5% rate = $ 50000

and amount of investment at 4% rate = $ 140000 - $ 50000 = $ 90000  

he used the algebra tiles correctly.

step-by-step explanation:

given : 3x(2x-1)

solution :

since he used algebra tiles .

armando's solution is the same in the solution shown in figure

as he distributed 2x into x and x and wrote them vertically

and also write   -1 vertically

and 3x into x and x and x and wrote it horizontally

performing the multiplication in the algebra tiles we get

and solving the given expression :

3x(2x-1)

since solving the expression using tiles   and solving the expression algebraically we get the same answer

thus   we can choose the first statement as the answer to this problem which is "he used the algebra tiles correctly".