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Elodia [21]
2 years ago
6

Mike's closing costs will add up to 4 percent and he'll make a down payment of 20 percent on a house that costs $210,000. Over t

he life of his loan, he will pay $197,040.76 in monthly payments. What is the total cost of his house? A. 244,540.76 B. 247,440.76 C. 265,440.76
Mathematics
1 answer:
postnew [5]2 years ago
7 0
<span>For the question "Mike's closing costs will add up to 4 percent and he'll make a down payment of 20 percent on a house that costs $210,000. Over the life of his loan, he will pay $197,040.76 in monthly payments. What is the total cost of his house?" To obtain the total cost of the house, we first obtain the amount he paid as the closing costs and the down payment he paid which we will add to the total amount paid in monthly payments. Closing cost = 4% of $210,000 = 0.04 x 210,000 = $8,400 Down payment = 20% of $210,000 = 0.2 x 210,000 = $42,000 Total monthly payments = $197,040.76 Total cost of the house = $8,400 + $42,000 + $197,040.76 = $247,440.76</span>
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Answer:

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Use the values on the number line to find the sampling error.
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Part 1:

Given a number line with the point \bar{x}=3.8 and the point \mu=4.27

The sampling error is given by:

\bar{x}-\mu=3.8-4.27=-0.47



Part 2:

Given a number line with the point \bar{x}=26.43 and the point \mu=24.67

The sampling error is given by:

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4 0
2 years ago
A freight train completes its journey of 150 miles 1 hour earlier if its original speed is increased by 5 miles/hour what is the
vlabodo [156]
<span>A freight train completes its journey of 150 miles 1 hour earlier if its original speed is increased by 5 miles/hour. What is the train’s original speed?
***
let x=original speed
x+5=increased speed
travel time=distance/speed
..
lcd:x(x+5)
150(x+5)-150x=x(x+5)
150x+750-150x=x^2+5x
x^2+5x-750=0
(x-25)(x+30)=0
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What is the train’s original speed? 25 mph</span>
7 0
2 years ago
The Venn diagram shows the results of two events resulting from rolling a number cube.
tankabanditka [31]

Answer:

P(A|B)=\frac{2}{3}

P(A)*P(B)=\frac{1}{3}

P(A) =\frac{2}{3}

P(B) =\frac{1}{2}.

Step-by-step explanation:

We use the Venn diagram to calculate the desired probabilities.

Note that there are 6 possible results in the sample space

S = {1, 2, 3, 4, 5, 6}

Then note that in the region representing the intercept of A and B there are two possible values.

So

P (A\ and\ B) = \frac{2}{6} = \frac{1}{3}

In the region that represents event A there are 4 possible outcomes {4, 5, 1, 2}

So

P(A) = \frac{4}{6} = \frac{2}{3}

In the region that represents event B there are 3 possible outcomes {1, 2, 6}

So

P(B) = \frac{3}{6} = \frac{1}{2}.

Now

P(A | B)=\frac{P(A \ and\ B)}{P(B)}\\\\P(A | B)=\frac{\frac{1}{3}}{\frac{1}{2}}\\\\P(A|B)=\frac{2}{3}

P(A)*P(B)=\frac{2}{3}*\frac{1}{2}=\frac{1}{3}

6 0
2 years ago
which is a pair of dependent events? spinning a spinner one time and then spinning it a second time flipping a quarter and then
Sphinxa [80]
<h2><u>Answer and explanation:</u></h2>

Two events are said to be dependent on each other, if the outcome of the first thing affects the outcome of the second thing in such a way that the probability changes.

Here, the right answer will be = removing a marble from a bag, not putting it back, and then removing a second marble.

Explanation:

Lets suppose there were 10 marbles in the bag at the first place. Now, you removed one marble and did not put it back. So, remaining marbles will be 9. Now, if again you choose a marble, you have 9 marbles to choose from. We can see that probability changes with the event that occurred at first place.

So, this is the right answer.

Rest options are simultaneous one. They are not dependent in any way.

7 0
2 years ago
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