Answer: $100.70
Step-by-step explanation: 6% is equal to 0.06, so you can add multiply the price of the item by 1.06 because that is the base cost plus the tax. Then you get $100.70.

Setting

, you have

. Then the integral becomes




Now,

in general. But since we want our substitution

to be invertible, we are tacitly assuming that we're working over a restricted domain. In particular, this means

, which implies that

, or equivalently that

. Over this domain,

, so

.
Long story short, this allows us to go from

to


Computing the remaining integral isn't difficult. Expand the numerator with the Pythagorean identity to get

Then integrate term-by-term to get


Now undo the substitution to get the antiderivative back in terms of

.

and using basic trigonometric properties (e.g. Pythagorean theorem) this reduces to
A three-letter word used to show division in a word problem is PER.
The correct two-way frequency table for the data is <u>Men </u><u>and </u><u>Women </u><u>Leisure Time Activity Preferences.</u>
<h3>What is a correct two-way frequency table?</h3>
A correct two-way frequency table displays frequencies for two categories (rows and columns) collected from categorical variables (men and women).
Men and Women Leisure Time Activity Preferences;
Playing Sports Dancing Watching movies/TV Row totals
Men 11 3 6 20
Women 5 16 9 30
Column totals 16 19 15 50
Hence, the correct two-way frequency table for the data is Men and Women Leisure Time Activity Preferences.
To learn more about two-way frequency tables click the link given below.
brainly.com/question/4555163