Franks credit card has no annual fee, 23.99% interest rate. Switch to new card 16.99% rate. $35 annual fee. How much average balance would frank have to make switching cards worth it?

The minimum average balance that makes the switching worth it is $500

Step-by-step explanation:

Equations

We know Frank's credit card has no annual fees and charges an interest rate of 23.99% of his average balance B. He wants to switch to a new card with $35 annual fees but less interest rate of 16.99%.

The total annual payment Frank actually has to pay is given only by the interest of his annual average balance. That is

With the new card, he'll have to pay a fixed fee of $35 plus the annual interest:

To make switching cards worth it, both payments will need to be (at least) equal:

Rearranging

Solving

The minimum average balance that makes the switching worth it is $500. If his balance is more than $500, he'll save by using the new card.

answer: the dogs need to shift their focus to human scent.

its because the dogs being trained are for search and rescue thus they need to be able to track humans and their specific scent

the graph in the attached figure

step-by-step explanation:

we have

using a graphing tool

the graph in the attached figure

the roots are ( x-intercepts) x=-0.5,x=1,x=3

the y-intercept is the point (0,3)