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malfutka [58]
2 years ago
6

At the end of each of the following five years, Eason is going to withdraw $30,000 from an investment account that pays interest

at a rate of 8% compounded annually. How much must there be in the investment account today in order for his account to reduce to a balance of zero after the last withdrawal? Show all your calculations.
Mathematics
1 answer:
Sophie [7]2 years ago
5 0

Answer:

3,000×0.8.×5

12000+3000 = 15000

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The answer to this problem is A 10
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nikdorinn [45]
B -222

Because he fell/descended 222 meters. And falling or going down produces a negative integer. Also, if you were actually doing the math to try to find where Oliver is currently located, you wouldn't add 222, or 0, or subtract -444. You would subtract 222. 

In addition, be aware that the question is asking you an integer to represent a situation, not the answer of where Oliver is. 

6 0
3 years ago
Suppose that the time (in hours) required to repair a machine is an exponentially distributed random variable with mean 1/0.41/0
lbvjy [14]

Answer:

a) P(t>3)=0.30

b) P(t>10|t>9)=0.67

Step-by-step explanation:

We have a repair time modeled as an exponentially random variable, with mean 1/0.4=2.5 hours.

The parameter λ of the exponential distribution is the inverse of the mean, so its λ=0.4 h^-1.

The probabity that a repair time exceeds k hours can be written as:

P(t>k)=e^{-\lambda t }=e^{-0.4t}

(a) the probability that a repair time exceeds 3 hours?

P(t>3)=e^{-0.4*3}=e^{-1.2}= 0.30

(b) the conditional probability that a repair takes at least 10 hours, given that it takes more than 9 hours?

The exponential distribution has a memoryless property, in which the probabilities of future events are not dependant of past events.

In this case, the conditional probability that a repair takes at least 10 hours, given that it takes more than 9 hours is equal to the probability that a repair takes at least (10-9)=1 hour.

P(t>10|t>9)=P(t>1)

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6 0
3 years ago
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mezya [45]

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Step-by-step explanation:

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f(h(x))=f(\sqrt[3]{2x-15})

Now we plug in f(x) in f(x)

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cube and cube root will get cancelled

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