Luis wants to buy a skateboard that usually sells for $79.74. all merchandise is discounted by 12%. what is the total cost of the skateboard if luis has to pay a state sales tax 7.25%. round your intermediate calculations and answer to the nearest cent

$75.26

Step-by-step explanation:

Cost of skateboard: $79.74

Discount: 12%

Let's find 12% of $79.74 and subtract it from $79.74.

12% of $79.74 = 12% * $79.74 = 0.12 * $79.74 = $9.57

The discount is $9.57. Now we subtract the discount from the original price.

$79.74 - $9.57 = $70.17

The price after applying the 12% discount, but before tax is $70.17

Now we apply the 725% sales tax.

We first find 7.25% of $70.17, and then we add it to $70.17.

7.25% of $70.17 = 7.25% * $70.17 = 0.0725 * $70.17 = $5.09

The amount of tax is $5.09. Now we add it to the discounted price of $70.17.

$70.17 + $5.09 = $75.26

Total price: $75.26

geometric series converge the common ratio r has magnitude less than one.

which is equivalent to

for the example we need

|2-x| < 1

-1 < 2-x   and 2-x < 1

x < 3 and x > 1

we can write that

answer: 1 < x < 3

1a. common ratio r=250/25=10 > 1     diverges

1b.   r=50/100=1/2 converges

when these converge they converge to

where a is the first term.

answer: 200

1c. r=-1   so it's not the case that |r| < 1.     diverges

2a. x is the common ratio so we converge when |x|< 1

2b.   r=-10x / -2 = 5x.

we converge when

|5x| < 1

|x| < 1/5

2c.   r=3-2x

-1 < 3-2x and 3-2x < 1

-4 < -2x and 2 < 2x

x < 2 and 1 < x

1 < x < 2

2d. [/tex] r=-48x^3/12 = 4x^3[/tex]

|4x^3| < 1

|x^3| < \frac 1 4

|x| < 4^{-1/3}

i think is 3 and 6. this took me 10 min to think.hope to and hope that my answer is brainliest.(follow me )