A) 8/40 = 1/5
b) 12/40 or 6/20
c) 26/40 or 13/20
Answer:
Penny would need to put in ~ $18,181.82
Step-by-step explanation:
Using the equation
Where A = the total
P is equal to the starting amount
r is equal to the rate (percent)
and t is equal to the total time.
We can put in:
A = $40,000
r = 0.08 (8%)
t = 15
Round to the nearest whole cent
P = $18,181.82
Answer:78.5
Step-by-step explanation:
First you find the volume of a cylinder then you plug in the answers don't forget that to find the radius you do diameter divided by 2
Answer:
0.1019
Step-by-step explanation:
Probability, p=12%=0.12
Sample size, n=130 students
Those writing with left=14 students
Using the formula for binomial distribution
P(X≤x)=
Substituting 0.12 for p, 130 for n, 14 for x we obtain
P(X≤x)=
P(X≤x)=
P(X≤x)=0.1019
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