Rosa bought a new hat when she was on vacation.

The following formula describes the percent sales tax Rosa paid.

B = t - c / c

Where
T= total price Rosa paid for the hat
C= total cost of the hat
B= sales tax (percent)

Rewrite the formula to determine the total cost Rosa paid for the hat.

Question

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Respuesta :

Riia Riia · Answer 1 · 2018-08-09T04:47:45+02:00

The given formula is

[tex] B = \frac{T-C}{C} [/tex]

Where B is the sales tax.

T is the total amount she paid for hat, and

C is the total cost of the hat .

In this question , we need to solve for T

We start with getting rid of the denominator C, by doing cross multiplication, that is

[tex] BC = T-C [/tex]

Now we need to get rid of the C that is in the right side and for that we add C .

[tex] BC+C=T [/tex]

It can also be written as

[tex] T=BC+C [/tex]

C is the common factor in the right side .

[tex] T= C(B+1) [/tex]

And that'sthe required answer .