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alexdok [17]
3 years ago
7

An investment account earns 4% per year compounded annually if the initial investment was $4000 how much is the account after th

ree years? Round your answer to the nearest dollar
Mathematics
2 answers:
Lerok [7]3 years ago
7 0
Compounded annualy makes it easier
A=P(1+r)^t
A=future amount
P=present amount
r=rate in decimal
t=time in years


given
P=4000
r=4%=0.04
t=3

A=4000(1+0.04)^3
A=4000(1.04)^4
A=4499.456
round

about $4499 in the account after 3 years
Aneli [31]3 years ago
6 0
4000 *  (\frac{100+4}{100} )^{3} = 4499.46

To the nearest dollar, it's $4499.


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Maggie is practicing her penalty kicks for her upcoming soccer game. During the practice, she attempts 10 penalty kicks. If each
arlik [135]

Answer:

P(X \geq 8)= P(X=8) +P(X=9) +P(X=10)

And we can find the individual probabilities like this:

P(X=8)=(10C8)(0.65)^0 (1-0.65)^{10-8}=0.176  

P(X=9)=(10C9)(0.65)^1 (1-0.65)^{10-9}=0.072  

P(X=10)=(10C10)(0.65)^2 (1-0.65)^{10-10}=0.013  

And adding we got:

P(X \geq 8)= P(X=8) +P(X=9) +P(X=10)= 0.176+0.072+0.013=0.262

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Let X the random variable of interest, on this case we now that:

X \sim Binom(n=10, p=0.65)

The probability mass function for the Binomial distribution is given as:

P(X)=(nCx)(p)^x (1-p)^{n-x}

Where (nCx) means combinatory and it's given by this formula:

nCx=\frac{n!}{(n-x)! x!}

Solution to the problem

For this case we want to find this probability:

P(X \geq 8)= P(X=8) +P(X=9) +P(X=10)

And we can find the individual probabilities like this:

P(X=8)=(10C8)(0.65)^0 (1-0.65)^{10-8}=0.176  

P(X=9)=(10C9)(0.65)^1 (1-0.65)^{10-9}=0.072  

P(X=10)=(10C10)(0.65)^2 (1-0.65)^{10-10}=0.013  

And adding we got:

P(X \geq 8)= P(X=8) +P(X=9) +P(X=10)= 0.176+0.072+0.013=0.262

5 0
3 years ago
Write an expression for the sequence of operations described below.
alexandr402 [8]

Answer:

(m-8)+2

Step-by-step explanation:

hope this helps !

8 0
2 years ago
Read 2 more answers
model aeroplane is made to a scale of 1 by two of the size of the real plane the area of the wings of the real plane are 40 m sq
4vir4ik [10]

The area of the wings of the model is 100000 square centimeters

<h3>How to determine the model area of the wings?</h3>

The given parameters are:

Scale factor, k = 1/2

Actual area of wings, A = 40 square meters

The model area is calculated as

Model area = Actual area * k^2

This gives

Model area = 40 * (1/2)^2

Evaluate

Model area = 10 square meters

Convert square meters to square centimeters

Model area = 10 * 10000 square centimeters

Evaluate

Model area = 100000 square centimeters

Hence, the area of the wings of the model is 100000 square centimeters

Read more about scale ratios at:

brainly.com/question/16192120

#SPJ1

6 0
2 years ago
Please help me. i really need this grade
Elodia [21]
So we have to put the value of 1:3 in a ratio

1 : 3
= 3:y

Ask yourself what do I have to multiply one by to get three ( the answer is three)
Because one side is multiplied by three, you have to multiply the right hand side by three to get y
3*3 is 9

Therefore, the y for 3 hours is 9

Then, we have to make another ratio
1:3
= 5:x

Ask yourself what do I have to multiply by one to get five (the answer is five)
So you multiply the other side by five as well
3*5=15

Therefore, the y for five hours is 15

3 0
3 years ago
Y= -x - 8x - 16 how many solutions
Rom4ik [11]

Answer:

1 solution

Key:

Assume <em>x</em> is the the range x > 0 ≥ 1, in other words, assume <em>x</em> is equal to 1.

Step-by-step explanation:

y = -x - 8x - 16\\= -x - 8x\\= 9x\\= 9x - 16

3 0
1 year ago
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