Alan took a vacation trip to maine, where sales tax on taxable items is 5%. in
maine, prepared food and lodging are taxed an additional 2%, for a total of 7%
tax, while auto rentals are taxed an additional 5%, for a total of 10% tax.
alan bought $90 worth of souvenirs, taxable at the general rate. he also spent
$420 on prepared food and lodging and $510 for a rental car, all before tax.
how much did he spend in total after tax was included?

1105

Step-by-step explanation:

Alan bought $90 worth of souvenir on which he paid 5% tax. Therefore he paid

90×(1.05)= 94.5

Then he spent $420 on prepared food on which 7% tax is charged. Therefore he paid

420×(1.07)= 449.4

Than he uses car on rent for $510 on which 10% tax is charged. Therefore he paid

510×(1.1)= 561

Therefore the total amount he paid including taxes is 561+449.4+94.5= 1104.9 or 1105 (rounding off)

(2x + 16) + (x) = 180

step-by-step explanation:

given,

abcd is a quadrilateral inscribed in a circle

angle a is labeled x plus 16, (x + 16)

angle b is labeled x degrees, (x)

angle c is labeled 6x minus 4, (6x – 4)

angle d is labeled 2x plus 16, (2x + 16)

what equation can be used to solve for angle b?

we know that the sum of the opposite angles of a simple quadrilateral inscribed in a circle is 180 degrees.

angle b is opposite angle d

therefore, angle b + angle d = 180

(x) + (2x + 16) = 180 

same as (2x + 16) + (x) = 180