Atool set sells for $150 at a local hardware store. the tool set is on sale for 20% off the retail price, p, given by f(p)=0.80p. devon is interested in buying the tool set and has a coupon for $30 off the price of the tool set, which can be represented by g(p) = p – 30. what is the difference between the cost of using the coupon followed by the discount, f(g( compared to using the discount followed by the application of the coupon, g(f(

6 Dollars.

Step-by-step explanation:

A toolset sells for $150 at a local hardware store. The toolset is on sale for 20% off the retail price, p, given by f(p) = 0.80p. Devon is interested in buying the toolset and has a coupon for $30 off the price of the toolset, which can be represented by g(p) = p – 30.

Therefore, the cost of using the coupon followed by the discount,  

f[g(p)] = 0.80(p - 30) = 0.80(150 - 30) = 96 dollars.

And the cost of using the discount followed by the application of the coupon,

g[f(p)] = 0.80p - 30 = 0.80 × 150 - 30 = 90 dollars.

Therefore, the difference between f[g(p)] and g[f(p)] is (96 - 90 ) = 6 dollars. (Answer)

answer: given that the roller coaster can accommodate 1600 riders per hour, thus the roller coaster can accomodate 1600 / 60 = 26.67 riders per minute.

given that there are 345 people in the line, the number of minutes it will take for the 345 persons to get into the roller coaster is given by 345 / 26.67 = 12.94 minutes.

therefore, it will take you 12.94 minutes to get to the front of the line.

step-by-step explanation:

step-by-step explanation:

the original amount doesn't ''re just looking for the time it takes for 1/2 of the substance to we have

(1/2) =)     take the ln   of both sides

ln (1/2)   = )   and we can write

ln(1/2) = ) lne     and lne   = 1     so we have

ln(1/2) = -.1092t     divide both sides by -.1092

t = ln(1/2)/-.1092 = about 6.347 days = about 6.3 days (rounded)