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arlik [135]
2 years ago
11

A lender estimates that the closing costs on a $170,000 home loan will be $6,375.00. The actual closing costs were 4.0%of the lo

an amount. Determine if the closing costs were higher or
lower than the estimate and by what percent
higher by 0.25%
higher by 0.5%
lower by 0.25%
lower by 0.5%
Mathematics
1 answer:
Feliz [49]2 years ago
3 0

Answer:

  (a) higher by 0.25%

Step-by-step explanation:

The error in the estimate is found by comparing the estimated rate to the actual rate.

__

The rate of estimated closing costs is ...

  (estimated cost)/(home cost) × 100% = 6375/170000×100% = 3.75%

The actual rate is 4.00%.

  actual - estimate = 4.00% -3.75% = 0.25%

The actual closing costs were higher than the estimate by 0.25%.

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Doug, a student in this class, knows how to write programs in JAVA. Everyone who knows how to write programs in JAVA can get a h
In-s [12.5K]

Missing Part of Question

Explain which rules of inference are used in the above

Answer:

Universal instantiation, Modus ponens and Existential generalization

Step-by-step explanation:

Splitting the Statement into two, we have

"Doug knows how to write program is Java"

and

"Doug can get a high paying job"

Represent Doug with x. Then the statements is rewritten as

P(x) = "x knows how to write program is Java"

and

Q(x) = "x can get a high paying job"

In logic, A premise is a statement in an argument that provides reason or support for the conclusion.

So, Statement 1 can be written as

1. P(x) ---- Premise

Then, we have

2. Vx(P(x) --> Q(x)) -- Premise. This mean that P(x) for all values in the domain.

The universal instantiation of (2) leads to

3. P(Doug) --> Q(Doug)

The modus ponens of the above gives

4. Q(Doug)

The existential generalisation from above gives

5. ƎxQ(x)

Which means someone in this class can get a high paying job.

PS:

Universal Instantiation is a valid rule of inference from a truth about each member of a class of individuals to the truth about a particular individual of that class; it is represented by VxP(x).

Existential Generalisation is a valid rule of inference that allows one to move from a specific statement, or one instance, to a quantified generalized statement, or existential proposition.

It is represented as ƎxP(x)

4 0
3 years ago
Approximate the value of each of the irrational numbers below to the nearest thousandth.
Marta_Voda [28]

ANSWER

\sqrt{13}  = 3.606

to the nearest thousandth.

EXPLANATION

The given irrational number is

\sqrt{13}

We use the calculator to evaluate this to obtain,

\sqrt{13}  = 3.605551...

To round to the nearest thousandth means we are rounding to 3 decimal places.

The third decimal place is 5.

The next number is 5 so we round up.

\sqrt{13}  = 3.606

4 0
3 years ago
TV and YW are parallel lines.
Lemur [1.5K]

Answer: C, WXZ and WXU are adjacent angles.

Step-by-step explanation:

A is incorrect because TUX and VUS are vertical angles.

B is incorrect because YXZ and TUX have no relationship.

C is correct  because WXZ and WXU are supplementary angles, thus adjacent.

D is inccorect because VUX and TUS are vertical angles.

6 0
2 years ago
You are a researcher studying the lifespan of a certain species of bacteria. A preliminary sample of 35 bacteria reveals a sampl
pickupchik [31]

Answer: Sample size would be 296.

Step-by-step explanation:

Since we have given that

Standard deviation = 4.8 hours

Margin of error = 0.65 hours

At 98% level of confidence, z = 2.33

So, It becomes,

0.65=z\times \dfrac{\sigma}{\sqrt{n}}\\\\0.65=2.33\times \dfrac{4.8}{\sqrt{n}}\\\\\dfrac{2.33\times 4.8}{0.65}=\sqrt{n}\\\\n=(\dfrac{11.184}{0.65})^2\\\\n=17.206^2\\\\n=296.051

Hence, sample size would be 296.

7 0
3 years ago
A die is rolled 30 times. How many times can you expect it to land on a number less than 5?
erma4kov [3.2K]

Answer:

5/6 is your answer

Step-by-step explanation:

no. of favourable observation/ total no of observation

6 0
3 years ago
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