Meg has saved up $350 to purchase a new tv from the local store. the sales tax in her county is 5% of the sticker price. write an equation and solve it to determine the value of the highest priced tv meg can purchase with her $350, including the sales tax. round your answer to the nearest penny.

For this case we have:

Let p be the highest price of the TV that Meg can buy

We have to:

5% of p is given by:

So, we have:

Clearing p we have:

Thus, the highest price of the television that Meg purchases should be dollars.

there are many solutions.

step-by-step explanation:

step 1: simplify both sides of the equation.

4x+6=4x^2+10x−4

step 2: subtract 4x^2+10x-4 from both sides.

4x+6−(4x^2+10x−4)=4x^2+10x−4−(4x^2+10x−4)

−4x^2−6x+10=0

step 3: factor left side of equation.

−2(2x+5)(x−1)=0

step 4: set factors equal to 0.

x=-5/2 or x=1