Kelly needs to travel 12 miles. Taxi A charges $3.00 plus $0.30 every 1/9 mile. Taxi B charges $3.25 plus $0.20 every 1/9 mile. How much money (in dollars) does kelly save by using taxi B instead of taxi A?

$10.55

Step-by-step explanation:

Total miles traveled = 12miles

If taxi A charges $0.3 for every 1/9 mile, then for 12 Miles, he will charge;

12×0.3/(1/9)

= 12×0.3×9

= 108×0.3

= $32.4

Amount charged initially = $3.00

Total charge by Taxi A = $32.4+$3.00

Total charge by Taxi A = $35.4

If taxi B charges $0.2 for every 1/9 mile, then for 12 Miles, he will charge;

12×0.2/(1/9)

= 12×0.2×9

= 108×0.2

= $21.6

Amount charged initially = $3.25

Total charge by Taxi B = $21.6+$3.25

Total charge by Taxi B = $24.85

Total money saved by Kelly = Amount charged by Taxi A - Amount charged by Taxi B

Total money saved by Kelly = $35.4-$24.85

= $10.55

Hence Kelly saved $10.55 using taxi B

the monthly balance will be $75,000

let's first notice, the center of the hyperbola is at the origin, since the focus points are equidistantly 3 units away from the origin, that also means that the distance "c" from the center to either focus is 3.

it should also be notable that, the traverse axis for this hyperbola is vertical, or namely over the y-axis and therefore, the positive fraction will be the one with y-variable.

the traverse "a" component or distance from the center to either vertex is not 2, is more than 2, so we can safely put it at √5 ≈ 2.24.