The price of a new car is 42,500 if the sales tax rate is 13/200 then how much sales tax is being charged what is the total cost for the car including tax

The sales tax is $2,762.50 and total cost of the car including tax is $45262.50

Step-by-step explanation: The price of a new car is $42,500.

Sale tax rate = 6.5%

Sales tax on the car = 6.5% × 42,500

                                =  × 42,500

                                = 0.065 × 42,500

                                = $2,762.50

Total cost of the car = 42,500 + 2,762.50 = $45262.50

The sales tax is $2,762.50 and total cost of the car including tax is $45262.50

on friday there were 15 birds

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4