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.
Answer:
720
Step-by-step explanation:
To solve this question, we would be using the formula for z- score
The formula for calculating a z-score is z = (x-μ)/σ
where x = raw score
μ = population mean
σ = sigma = population standard deviation.
From the question, we are given
The mean of a set of credit scores Mu = 690
sigma = population standard deviation 14
z - score = 3.3
This means we are to find x
z = (x-μ)/σ
3.3 = x - 690/ 14
Cross Multiply
3.3 × 14 = x - 690
46.2 = x - 690
x = 690 + 46.2
x = 736.2
Since we are told that it is a range, the closest out of the options given to our calculated x which is 736.2 is 720
The kuroshio sea tank is 115.5 ft
Answer:
option C. Angle BTZ Is-congruent-to Angle BUZ
Step-by-step explanation:
Point Z is equidistant from the vertices of triangle T U V
So, ZT = ZU = ZV
When ZT = ZU ∴ ΔZTU is an isosceles triangle ⇒ ∠TUZ=∠UTZ
When ZT = ZV ∴ ΔZTV is an isosceles triangle ⇒ ∠ZTV=∠ZVT
When ZU = ZV ∴ ΔZUV is an isosceles triangle ⇒ ∠ZUV=∠ZVU
From the figure ∠BTZ is the same as ∠UTZ
And ∠BUZ is the same as ∠TUZ
So, the statement that must be true is option C
C.Angle BTZ Is-congruent-to Angle BUZ
Answer:
Slope = rise / run
= -12 / 1500 (It's -12 and not 12 because a drop means it's decreasing)
= -0.008
