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MAXImum [283]
2 years ago
5

Find the total amount $17,600 at 16% compounded quarterly for 2 years

Mathematics
1 answer:
Anna35 [415]2 years ago
4 0

Answer:

57,700.10

Step-by-step explanation:

To solve, we use the equation 17,600(1.16)^8

we set it to the power of 8, since it is compounding quarterly this means it compounds 4 times a year, and since there is 2 years, we get 8 compounds.

please rate and mark as brainlest

You might be interested in
Is 10/18 and 45/18 proportional
ValentinkaMS [17]

Answer:

No

Step-by-step explanation:

10/18 does not equal 45/18

An example of a proportional number is:

4/5 and 8/10

Both numbers are multiplied by 2 making them proportional

10/18 and 45/18 are not proportional

Hope this helped :)

6 0
3 years ago
Based on a​ survey, assume that 43​% of consumers are comfortable having drones deliver their purchases. Suppose we want to find
svlad2 [7]

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:

P(X=x)={5\choose x}\ 0.43^{x}\ (1-0.43)^{5-x};\ x=0,1,2,3...

P(X=2)={5\choose 2}\ 0.43^{2}\ (1-0.43)^{5-2}

               =10\times 0.1849\times 0.185193\\=0.342421857\\\approx 0.3424

Thus, the probability of getting two consumers comfortable with drones is 0.3424.

4 0
3 years ago
Inquiries arrive at a record message device according to a Poisson process of rate 15 inquiries per minute. The probability that
zloy xaker [14]

Answer:

0.0498 = 4.98%

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

In which

x is the number of sucesses

e = 2.71828 is the Euler number

\mu is the mean in the given time interval.

Inquiries arrive at a record message device according to a Poisson process of rate 15 inquiries per minute.

Each minute has 60 seconds.

So a rate of 1 inquire each 4 seconds.

The probability that it takes more than 12 seconds for the first inquiry to arrive is approximately

Mean of 1 inquire each 4 seconds, so for 12 seconds \mu = \frac{12}{4} = 3

This probability is P(X = 0).

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

P(X = 0) = \frac{e^{-3}*3^{0}}{(0)!} = 0.0498

5 0
3 years ago
The value of a house that was purchased 20 years ago has been appreciating by 1.2% each year since it was purchased. If the hous
Kamila [148]

I believe it would have been $347,316.95 at the time of purchase.

1.2% of 456996 is 5483.952

5483.952 \times 20 = 109679.04

So:

456996 - 109679.04 = 347316.95

7 0
3 years ago
Help plz ill give u BRAINEST ​
d1i1m1o1n [39]

Answer:

First option, relation 1 and relation 4

Step-by-step explanation:

Because they both cross one of the two axes once, which from what I remember, makes it a function.

Hope this makes sense, and please correct me if I'm wrong :)

3 0
2 years ago
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