A certain state charges a 12% tax rate on incomes up to $25,000 and 16% on income beyond that. If Rachel makes $33,000 per year, how much income tax will she pay?

$4,280

Step-by-step explanation:

If the state charges 12% on incomes up to $25,000, that means you pay that rate on the first $25,000 you make, regardless of your total income. 0.12⋅25,000=3,000, so that's how much Rachel would pay on her *first* $25,000. Now she also has to pay the higher rate of 16% on any income beyond that level. Her total income is $33,000 so subtracting $25,000 will give us her income beyond that level: $33,000−$25,000=$8,000. At the higher rate, she would pay 0.16⋅$8,000=$1,280 on that income. Her total income tax would be 3,000+1,280=$4,280 .

b. an equilateral triangle inscribed in a circle

step-by-step explanation:

we are given the figure of two circles having a triangle inside.

now, we know that,

"when a figure is lying inside an another figure, then the outside figure is known as circumscribed figure and the figure lying inside is referred to as the inscribed figure".

as we see that, the circles are containing the triangle completely.

thus, the circles are the circumscribed figures and the triangle is the inscribed figure.

hence, we get, 'an equilateral triangle is inscribed in a circle'.