Answer:
FV=PV(1−d)^n
FV = 290(1-.132)^14
FV = 290(.868)^14
FV = 39.96 g
Step-by-step explanation:
Answer:
So it would takes approximately 6.9 hours to reach 32 F.
Step-by-step explanation:
For this case we have the following differential equationÑ
We can reorder the expression like this:
We can use the substitution 
and 
so then we have:
IF we integrate both sides we got:
If we apply exponential in both sides we got:
And if we replace w = u-T we got:
We can also express the solution in the following terms:
For this case we know that 
since w ehave a cooloing, 
, we have this model:
And if we want that the temperature would be 32F we can solve for t like this:
If we apply natural logs on both sides we got:
So it would takes approximately 6.9 hours to reach 32 F.
Answer:
(fog)(-2)=-5
Step-by-step explanation:
Given
f(x)= -7x+2
and
g(x)= √(x+3)
For finding (fog)(-2), we have to find (fog)(x) first
In order to find (fog)(x) we will put the value of g(x) in f(x) in place of x.
(fog)(x)= -7g(x)+2
Putting the value of g(x)
(fog)(x)= -7√(x+3)+2
We have to find (fog)(-2), so we have to put at the place of x in the composition
(fog)(-2)= -7√(-2+3)+2
(fog)(-2)= -7√1+2
= -7(1)+2
= -7+2
=-5
So,
(fog)(-2)=-5
9514 1404 393
Answer:
(2/3)(e^t +1)^(3/2)
Step-by-step explanation:
Use the substitution ...
u = e^t +1
Then du = e^t and you are finding the integral of ...
∫u^(1/2)·du
which you know by the power rule is ...
(2/3)u^(3/2) = (2/3)(e^t +1)^(3/2)
