A bike tire just ran over a nail and it is losing pressure at a rate of 10% every minute the tire pressure is currently 1464 kPa what will it be in 10 minutes

Correct  p = 510.465 kPa

Step-by-step explanation:

Initial pressure p = 1,464 kPa

after one minute p₁ = 1,464 · 0.9

after two minutes p₂ = p₁ · 0.9 = (1,464 · 0.9) = 1,464 · 0.9²

after three minutes p₃ = p₂ · 0.9 = (1,464 · 0.9²) · 0.9 = 1,464 · 0.9³

after n minutes  pₙ = 1,464 · 0.9ⁿ

in accordance with the foregoing

after ten minutes p₁₀ = 1,464 · 0.9¹⁰ = 1,464 · 0.3487 = 510.465 kPa

p₁₀ = 510.465 kPa

God is with you!!!

the simplified form is

step-by-step explanation:

we want to simplify the expression,

let us change the middle bar to a normal division sign to obtain,

we multiply the first fraction by the reciprocal of the second fraction to obtain,

we factor to obtain,

we cancel the common factors to get,

we simplify to get,

the correct answer is b