1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Gala2k [10]
3 years ago
12

For this item, answers should be rounded to the nearest cent.

Mathematics
1 answer:
Nina [5.8K]3 years ago
3 0
The interest would be 3.75 x 6 = 22.5
so the answer is $22.5 $272.50
You might be interested in
A new​ phone-answering system installed by a certain utility company is capable of handling twelve calls every 5 minutes. Prior
SVEN [57.7K]

Answer:

A. P(x>12 in 5 minutes)=0.0201

Step-by-step explanation:

Because we are working with a Poisson Distribution of probability, we need to get all the data needed. In a Poisson distribution is needed a constant called λ that symbolizes the mean data (6 calls) per unit of time (5 minutes), for this distribution λ=6/5.

Poisson probabilities work like this:

P(x=y\ 'in\ z\ unit\ of\ time')= \frac{e^{-z\lambda}(z\lambda)^{y}}{y!}

Remember y has to be an integer and the units of z must be the same unit of time used in λ. Now we are ready to solve this problem

A. The question is asking for the probability that in 5 minutes appear more calls than the phone-answering machine could answer (i.e P(x>12 in 5 minutes)). Because there are infinite numbers greater than 12, we are using this property of probabilities that´ll help us simplify the problem:

P(x>12 in 5 minutes)= 1 - P(x≤12 in 5 minutes)

Now we can use the following:

P(x\geq12\ in\ 5\ minutes)=P(x=0\ in\ 5\ min)+P(x=1\ in\ 5\ min)+...P(x=12\ in\ 5\ min)

P(x\geq12\ in\ 5\ minutes)=\sum_{n=0}^{\infty}P(x=n\ in\ 5\min)

P(x\geq12\ in\ 5\ minutes)=\sum_{n=0}^{\infty}\frac{e^{-6}6^{n}}{n!}

And you can find P(x=n in 5 minutes) for every n using a calculator or a computer, and finally add them to get

P(x≤12 in 5 minutes)= 0.9799

P(x>12 in 5 minutes)= 1-0.9799

This will be our answer

P(x>12 in 5 minutes)= 0.0201

8 0
3 years ago
Factor the following trinomial. (Hint: Solve the equations first.)<br><br> x²-2x-2
Alex_Xolod [135]

Answer:

(x-(1+\sqrt{3}))(x-(1-\sqrt{3}))  

Step-by-step explanation:

we know that

The formula to solve a quadratic equation of the form

ax^{2} +bx+c=0

is equal to

x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}

in this problem we have

x^{2} -2x-2=0  

so

a=1\\b=-2\\c=-2

substitute in the formula

x=\frac{-(-2)(+/-)\sqrt{-2^{2}-4(1)(-2)}} {2(1)}

x=\frac{2(+/-)\sqrt{12}} {2}

x=\frac{2(+/-)2\sqrt{3}} {2}

x_1=\frac{2(+)2\sqrt{3}} {2}=1+\sqrt{3}

x_2=\frac{2(-)2\sqrt{3}} {2}=1-\sqrt{3}

therefore

x^{2} -2x-2=(x-(1+\sqrt{3}))(x-(1-\sqrt{3}))  

5 0
3 years ago
List the domain and range of (5,12)(3,-3),(-2,7)(2,12)(5,1)
Sliva [168]

Answer:

Domain={-2,2,3,5}

Range={-3,1,7,12}

Step-by-step explanation:

The given ordered pairs are (5,12)(3,-3),(-2,7)(2,12)(5,1).

The domain refers to the set of all the first coordinates(x-values).

Domain={-2,2,3,5}

The range refers to the set of all the second coordinates (y-values).

Range={-3,1,7,12}

Note that, we do not repeat elements in a set.

Do not list the 5 in the domain twice.

The same applies to the 12 in the range

8 0
4 years ago
Need help with full explanation first to answer extra points!!!
blsea [12.9K]

Answers:

<h2>1. 35 </h2><h2>2. 12</h2>

Step-by-step explanation:

Those brackets indicate absolute value. Absolute value is the distance of a number from 0 on the number line. In other words, negatives don't matter. There is also no such thing as a negative absolute value.

-2     -1      0      1       2

Both -2 and 2 are the same distance from 0, just in the opposite direction. Both numbers have the same absolute value, which is 2.

Hope This helps. If it did, then....

<em>PLEASE MARK BRAINLIEST</em>

7 0
4 years ago
Keisha is investing her money in an IRA. Initially she will be putting in $775. Using C as the additional amount invested each m
Mars2501 [29]
Initial investment = $775
Monthly investments = $C
Period of investment = 1 year = 12 months

Total monthly investments = Monthly amount*12 = C*12 = 12C

Total investment after 12 months = Initial investment + Total monthly investments = 775 + 12C
6 0
3 years ago
Other questions:
  • James says that 12 is a common factor of 3 and 4.june says that 12 is common multiple of 3 and 4.who is correct.
    15·2 answers
  • In a plane if a line is perpendicular to one of two __ lines then it is also perpendicular to the other.
    6·2 answers
  • Miguel wants to buy a condominium. He has the choice of buying it now or renting it with the option to buy at the end of 3 years
    9·2 answers
  • Solve for this equation<br> z^2-12z=-13
    7·1 answer
  • (3^6)^-2/(6^-9*-2^10)
    6·1 answer
  • What is the answer ? I need to know ASAP thank you
    5·1 answer
  • A 2-column table has 4 rows. The first column is labeled x with entries 1, 2, 3, 4. The second column is labeled y with entries
    7·1 answer
  • 19, 38, 76, ... find the 8th term
    6·1 answer
  • Please help IXL problem
    15·1 answer
  • What is the surface area of this right rectangular prism with dimensions of 4 centimeters by 4 centimeters by 6 centimeters?
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!