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
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Answer:
The probability of getting two consumers comfortable with drones is 0.3424.
Step-by-step explanation:
The probability that a consumer is comfortable having drones deliver their purchases is, <em>p</em> = 0.43.
A random sample of <em>n</em> = 5 consumers are selected, and exactly <em>x</em> = 2 of them are comfortable with the drones.
To compute the probability of getting two consumers comfortable with drones followed by three consumers not comfortable, we will use the Binomial distribution instead of the multiplication rule to find the probability.
This is because in this case we need to compute the number of possible combinations of two consumers who are comfortable with drones.
So, <em>X</em> = number of consumers comfortable with drones, follows a Binomial distribution with parameters <em>n</em> = 5 and <em>p</em> = 0.43.
Compute the probability of getting two consumers comfortable with drones as follows:



Thus, the probability of getting two consumers comfortable with drones is 0.3424.
The solution to the quadratic equation by using a numeric approach
are x = 6.3 and x = -31.3
Given the quadratic function expressed as;
0.02x²+ 0.5x - 4 = 0
Multiply through by 100 to have;
2x² + 50x - 400 = 0
Using the general formula to solve:
x = -50±√2500-4(2)(-400)/2(2)
x = -50±√2500+3200/4
x = -50±75.49/4
x = -31.3 or 6.3
Hence the solution to the quadratic equation by using a numeric approach
are x = 6.3 and x = -31.3
Learn more on quadratic function here: brainly.com/question/25841119
Answer: x = 17.2
Step-by-step explanation:
So we can combine 8.7x and 1.9x as they are considered like terms.
So basically since they have the same base of x we can disregard the x when subtracting.
So its more like 8.7-1.9 which = 6.8
Now add the x back
So it is 6.8x = 116.96
Now we need to isolate the variable.
To do this we need to divide the 6.8 on both sides.
So x = 116.96/6.8
x = 17.2