Newton's Law of Cooling
Tf=Ts+(Ti-Ts)e^(-kt) where Tf is temp at time t, Ts is temp of surroundings, Ti is temp of object/fluid. So we need to find k first.
200=68+(210-68)e^(-10k)
132=142e^(-10k)
132/142=e^(-10k)
ln(132/142)=-10k
k=-ln(132/142)/10
k≈0.0073 so
T(t)=68+142e^(-0.0073t) so how long until it reaches 180°?
180=68+142e^(-0.0073t)
112=142e^(-0.0073t)
112/142=e^(-0.0073t)
ln(112/142)=-0.0073t
t= -ln(112/142)/(0.0073)
t≈32.51 minutes
Answer:
A.) 300 = $18x
B.) 277.50 = $9.25x
C.) 360 years
Step-by-step explanation:
Answer: 209
Step-by-step explanation:
Answer:
A. $27.23
B. $467.77
Step-by-step explanation:
Lin is shopping for a couch with her dad and heard him ask the salesperson “how much is your commission?” The salesperson says that her commission is 5 1/2% of the selling price. A.How much commission will the salesperson earn by selling a couch for $495?
B.How much money will the store get from the sale of the couch?
Salesperson commission = 5 1/2%
Price of couch = $495
A. Amount earned by the salesperson = 5 1/2% of $495
= 5.5% × 495
= 0.055 × 495
= 27.225
Approximately
Amount earned by the salesperson = $27.23
B.How much money will the store get from the sale of the couch?
Amount the store get = Total price - amount earned by salesperson
= $495 - $27.23
= $467.77
A-
-$12.58
B-
-$37.58
C-
You need $37.58 to bring it back up to $0
