Answer: 7.58 years
Step-by-step explanation:
When it comes to finding out how long it will take for an investment to double, one can use the Rule of 72.
The Rule of 72 estimates the amount of time it will take to double an investment when you divide 72 by the interest rate:
= 72 / r
= 72 / 9.5
= 7.58 years
Answer:
343.7 ft
Step-by-step explanation:
The wire is anchored 190 -13 = 177 ft from the ground. That distance is opposite the given angle (31°). The measure you want is the hypotenuse of the triangle with that side and angle measures.
The mnemonic SOH CAH TOA reminds you that the relation between the opposite side, hypotenuse, and angle is ...
Sin(angle) = Opposite/Hypotenuse
Filling in the given information, you have ...
sin(31°) = (177 ft)/hypotenuse
Solving for hypotenuse gives
hypotenuse = (177 ft)/sin(31°) ≈ 343.7 ft
The length of the guy wire should be 343.7 ft.
Answer:
0.40951
Step-by-step explanation:
P(none in five years) = 1 - 0.1 = 0.9
P(at least one) = 1 - P(none in five years)
= 1 - 
= 1 - 0.59049
= 0.40951
So the probability of a hurricane hit at least once in the next 5 years is 0.40951
To the nearest 1,000: 4,939,000
to the nearest 10,000: 4,940,000
Answer:
<em>The function to represent this relationship will be: 
</em>
Step-by-step explanation:
varies inversely with 
. That means......
where 
is a proportional constant.
Given that, when 
, then 
Plugging these values into the above equation, we will get.....
Now plugging this 
into equation (1).....
So, the function to represent this relationship will be:
