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Inessa05 [86]
4 years ago
10

Caleb bought a car for $6,900. He agreed on a five-year loan at a 5.4% interest rate. Calculate what Caleb's monthly payments wi

ll be.
Mathematics
1 answer:
ExtremeBDS [4]4 years ago
8 0
P =AD,

P = Monthly payment
A = Cost of the car
D = [R/12]/[1-(1+R/12)^-12n], where R = Annual interest = 5.4% = 0.054, n = Number years = 5
Therefore,
D = [0.054/12]/[1-(1+0.054/12)^-12*5] = 0.019055

And,
P = 6,900*0.019055 = $131.48

Monthly payment will be $131.48.
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The line plot shows the number of letters in the last name of 12 children.
Ainat [17]

Answer:

The mode is 9 letters: True

The median is 7.5 letters: True

The mean is 7 letters: False

The graph is skewed right with an outlier of 2: False

Step-by-step explanation:

1) The mode is 9 letters. (True)

The mode is the value that shows up the most. 9 letters shows up the most as the length of a child's last name.

2) The median is 7.5 letters. (True)

The median is one of the middle points of a data set. This can be found by writing out all of the results from least to greatest, and crossing out each number starting from the ends.

2, 6, 6, 7, 7, 7, 8, 8, 9, 9, 9, 9

Once you meet in the middle, you should be left with 7 and 8. In this case, we find the mean of the two numbers, which is 7.5. (In cases where the data set has an odd amount - if there were 13 children instead of 12), you'd just use the middle piece of data.

3) The mean is 7 letters. (False)

The mean is also a middle point of a data set. However, this one is different. The mean can be found by adding up all of the numbers in the data set (2+6+6+7+7+7+8+8+9+9+9+9) and then dividing that number by the amount of numbers are in the data set. Setting this up as an expression would look like: \frac{2+6+6+7+7+7+8+8+9+9+9+9}{12}. By plugging this into a calculator you'd get 7.25 instead of just 7.

4) The graph is skewed right with an outlier of 2.

Although the outlier of 2 part of the statement is correct, the graph is not skewed right; it is skewed left.

5 0
2 years ago
A game consists of tossing three coins. If all three coins land on heads, then the player wins $75. If all three coins land on t
emmainna [20.7K]

Answer:

On average, a player should expect to win $15.

Step-by-step explanation:

The expected value in an event with outcomes:

x₁, x₂, ..., xₙ

Each with probability:

p₁, ..., pₙ

is given by:

Ev = x₁*p₁ + ... +xₙ*pₙ

In this case we have 3 outcomes:

player wins $75 = x₁

player wins $45 = x₂

player does not win = x₃

Let's find the probabilities of these events.

player wins $75)

Here we must have the 3 coins landing on heads, so there is only one possible outcome to win $75

While the total number of outcomes for tossing 3 coins, is the product between the number of outcomes for each individual event (where the individual events are tossing each individual coin, each one with 2 outcomes)

Then the number total of outcomes is:

C = 2*2*2 = 8

Then the probability of winning $75 is the quotient between the number of outcomes to win (only one) and the total number of outcomes (8)

p₁ = 1/8

Win $45:

This happens if the 3 coins land on tails, so is exactly equal to the case above, and the probability is the same:

p₂ = 1/8

Not wining:

Remember that:

p₁ + p₂ + ... + pₙ = 1

Then for this case, we must have:

p₁ + p₂ + p₃ = 1

1/8 + 1/8 + p₃ = 1

p₃ = 1 - 1/8 - 1/8

p₃ = 6/8

Then the expected value will be:

Ev = $75*1/8 + $45*1/8 + $0*6/8 = $15

On average, a player should expect to win $15.

7 0
3 years ago
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Mashcka [7]

Answer:

I am confused what is the question?

6 0
3 years ago
Read 2 more answers
Choose all the expressions with accurately written descriptions.
valentina_108 [34]
There are two expressions which do not match with the written descriptions to ist right.

Those are:

1) (4x - 3)^2 - 1: see that the written description does not square the difference of 4x and 3

2) 3(5x^2 + 14x + 7): see that the written description tells that 5 is added to the square ox x, which is not what the expression shows.

The other 4 expressions match with the written descriptions.

So, you can choose those other 4 expressions.
4 0
4 years ago
Will mark brainliest<br> Please help!<br> Thank you!
shepuryov [24]

Answer:

A & D

Step-by-step explanation:

To find area simply multiply Lenght times Width

7 0
3 years ago
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