Malachi bought a new fishing rod. the regular price of the fishing rod was $125.99. he bought it on sale with a 15% discount. sales tax of 3% is applied to the discounted total. what was the sale price with tax of malachi's fishing rod to the nearest cent?

If the discount is 15 percent, he still pays (100-15) or 85%

125.99 * 85%

125.99 * .85 = 107.09  is the price he pays for the rod

107.09 * .03 =3.21 is the sales tax

107.09+3.21=110.30 is the price of the rod with the discount and the tax

because linear equations are a lot simpler than quadratics equations, and linear equations formula is a lot easier to memorize. that's why i think they're harder.

the solution of the equation is 2.23 ⇒ answer b

step-by-step explanation:

* lets revise the meaning of exponential function

- the form of the exponential function is y = ab^x, where a ≠ 0, b > 0 ,  

  b ≠ 1, and x is any real number

- it has a constant base b

- it has a variable exponent x

- to solve an exponential equation, take the log or ln of both sides,  

  and solve for the variable

* lets solve the problem

∵

- the base is 7 and the exponent is x

- insert ㏑ in both sides

∴

- use the rule

∴ x ㏑(7) = ㏑(77)

- to find x divide both sides by ㏑(7)

∴

* the solution of the equation is 2.23 to the nearest 2 decimal places