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asambeis [7]
4 years ago
6

A bank charges 1.75 of a point for the origination fee on a mortgage of $400,000. What is the origination fee?

Mathematics
1 answer:
Marina86 [1]4 years ago
4 0

Answer:

The origination fee on a mortgage of $400,000 is $7,000.

Step-by-step explanation:

Here, the mortgage value =  $400,000

The origination fee = 1.75%

Now, the  origination fee is calculated on the amount mortgaged.

⇒ 1.75 % of ($400,00) =  Origination Fee

Now, 1.75 % of ($400,00) = \frac{1.75}{100}  \times 400,000 = 7,000

or, 1.75 % of ($400,00)  = $ 7,000

Hence, the origination fee on a mortgage of $400,000 is $7,000.

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Now, lets first know this:-

0.875 = 875/1000

Lets simplify this:-

875/125 = 7
1000/125 = 8

7/8

Answer: 7/8
4 0
3 years ago
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California is hit every year by approximately 500 earthquakes that are large enough to be felt. However, those of destructive ma
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Answer:

a) The probability that at least 3 months elapse before the first earthquake of destructive magnitude occurs is P=0.7788

b) The probability that at least 7 months elapsed before the first earthquake of destructive magnitude occurs knowing that 3 months have already elapsed is P=0.7165

Step-by-step explanation:

Tha most appropiate distribution to model the probability of this events is the exponential distribution.

The cumulative distribution function of the exponential distribution is given by:

P(t

The destructive earthquakes happen in average once a year. This can be expressed by the parameter λ=1/year.

We can express the probability of having a 3 month period (t=3/12=0.25) without destructive earthquakes as:

P(t>0.25)=1-P(t

Applying the memory-less property of the exponential distribution, in which the past events don't affect the future probabilities, the probability of having at least 7 months (t=0.58)  elapsed before the first earthquake given that 3 months have already elapsed, is the same as the probability of having 4 months elapsed before an earthquake.

P(t>0.58)/P(t>0.25)=P(t>0.33)

P(t>0.33)=1-P(t

8 0
3 years ago
If you made $300 one week and had a total of $75 worth of deductions, how much did you actually take home?
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Answer:

$225

Step-by-step explanation:

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What is the equality of -60x>10
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Answer:

Divide both sides by -60. Note: when you divide an inequality by a negative number, switch the direction of the sign.

x<-10/60

x<-1/6

:)

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The total distance from earth to the sun would be written as 1.0346 x 1022 7 points
Simora [160]

Answer:

1.0346 x 10^{22}

Since the exponent of the scientific notation is positive, move the decimal point  22  places to the right.

10,346,000,000,000,000,000,000

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