Answer:
Z = 258Ω
Step-by-step explanation:
There are two methods of solving this question,
First method
Z = ( RXL)/ sqr rt ( R²+XL²)
Z= (330 Ω × 420 Ω)/ sqr rt ( 330 Ω² + 420 Ω²)
Z = 138600 Ω /534
Z = 259 Ω
THE second complete method is given in attachment below
Ok so first, the skateboard costs $79.99. The skateboard costs 12% less with discount now so you have to pay 12% less.
You start by finding 12% of 79.99. This can be easily done by hand or with a calculator. Do 0.12 times 79.99. The answer is 9.5988. Since its 12% less we now subtract $9.5988 from $79.99. We get $70.3912. So this is the discounted price.
Now for the state sales tax. The sales tax is 6.75% which is equal to 0.0675. Like we did before, we multiplied .0675 by the value we wanted this percent of. But we can do a short way instead. Instead of getting 6.75% of $70.3912 and then adding it back to $70.3912, we can multiply $70.3912 by 1.0675 and this will do all the work for us.
So now, do $70.3912 times 1.0675 and you will have the answer. The answer is $75.142606, but wait, now we will round this to hundredths place as cents place ends their, and so the final answer will be $75.14.
Im not positive but im sure the correct answer is C. The slope of f(x) is greater than the slope of g(x)
