15x+10z is equivalent to 5(3x+2z)
Answer:
Average rate of change = 3
Step-by-step explanation:
- We know that the average rate of change is basically a measure of the slope of the secant line in the closed interval [a, b].
here a = -3 and b = 4
⇒ Average rate of change = f(b) - f(a) / b - a
= (27 - 6) / (4 - (-3))
= 21 / 7
= 3
Therefore, Average rate of change = 3
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.
