Answer:
t=5.18 minute
Step-by-step explanation:
Using Newton's law of cooling
T is temperature of a cup of coffee at any time t 
, is the temperature of the surrounding and k is a constant of proportionality in this negative because temperature is decreasing.
To find constant knowing the time and the temperature the first step of the change of energy in cup of coffee
Now using the constant of decreasing can find the time to be a 145 temperature the cup of coffee
Y=mx+b
M equals the slope
B equals the y-intercept So
Y=1x+0
Answer:
Step-by-step explanation:
Let x represent the amount of medical bills that Giselle has to pay.
Assume she has over $160 in bills,
it means that
x > 160
Under plan A, Giselle would have to pay the first $110 of her medical bills, plus 35% of the rest. Therefore, she will have to pay for
35/100 × (x - 110) = 0.35(x - 110)
Under plan B, Giselle would pay the first $160, but only 20% of the rest. Therefore, she will have to pay for
20/100 × (x - 160) = 0.2(x - 160)
Therefore, the amount of medical bills that plan B will save is
0.35(x - 110) - 0.2(x - 160) = 0.35x - 38.5 - 0.2x + 32
0.15x + 6.5
Substituting x = 160 into 0.15x + 6.5, it becomes
0.15 × 160 + 6.5 = $30.5
Total bills would be 160 + 30.5 = 190.5
Therefore, Giselle would save $30.5 with plan B if she had more than $190.5 in bills.
