Answer:
$45.12
Step-by-step explanation:
($0.47 /stamp)×(8 stamps/mo)×(12 mo/yr) = $45.12 /yr
You will save $45.12 per year on stamps.
Answer: 64 years
Step-by-step explanation:
Let assume the dealer sold the bottle now for $P, then invested that money at 5% interest. The return would be:
R1 = P(1.05)^t,
This means that after t years, the dealer would have the total amount of:
$P×1.05^t.
If the dealer prefer to wait for t years from now to sell the bottle of wine, then he will get the return of:
R2 = $P(1 + 20).
The value of t which will make both returns equal, will be;
R1 = R2.
P×1.05^t = P(1+20)
P will cancel out
1.05^t = 21
Log both sides
Log1.05^t = Log21
tLog1.05 = Log21
t = Log21/Log1.05
t = 64 years
The best time to sell the wine is therefore 64years from now.
36/4 = 9 per hat
56/7 = 8 per hat
no, they are not equivalent
For this case we have the following expression:

The first step is to solve the quadratic term.
We have then:

Then, the second step is to subtract both resulting numbers:

We observe that the result obtained is a negative number.
Answer:
The result of the expression is given by:

The best group to take a sample from would be the eighth graders because they are the ones who will be participating in the dance, so they should have the most input.