Allison is closing on a house on september 17. The buyer owns the property on the day of the closing. The selling price of the gone is $200,500. Allison was accepted for a 25-year fixed-rate mortgage for $185,000 at 6.25% interest. The seller has paid $2,560.43 in property taxes for the coming year. How much will Allison owe in prorated taxes and interest.

Answers

Answer 1

Answer:

197,500

Step-by-step explanation:

200500*25-184000/6.25-2560.43=4980499.57 Which rounds to 197,500.

Answer 2

Allison owes approximately $1,380.50 in prorated taxes and interest for the property she's closing on September 17.

To calculate the prorated taxes and interest that Allison owes, we need to break down the calculation into two parts: prorated property taxes and prorated interest.

1. **Prorated Property Taxes:**

  - Allison is closing on September 17, which means she will own the property for 106 days of the year (September 17 to December 31).

  - The seller has already paid $2,560.43 in property taxes for the entire year.

  - To calculate Allison's portion of the property taxes, we need to divide the seller's payment by the number of days in the year and then multiply by the number of days Allison will own the property.

Prorated Property Taxes = Seller's Property Tax Payment/

Days in Year × Days Allison Owns the Property

 [tex]\[ \text{Prorated Property Taxes} = \frac{2,560.43}{365} \times 106 \][/tex]

 [tex]\[ \text{Prorated Property Taxes} = \frac{2,560.43}{365} \times 106 = 741.12 \][/tex]

2. **Prorated Interest:**

  - Allison is taking out a 25-year fixed-rate mortgage for $185,000 at 6.25% interest.

  - To calculate the prorated interest, we need to find out how much interest Allison will owe for the remaining days of September.

 Daily Interest Rate [tex]$=\frac{\text { Annual Interest Rate }}{\text { Days in Year }}=\frac{6.25 \%}{365}$[/tex]

  Prorated Interest for September = [tex]Loan Amount $\times$ Daily Interest Rate $\times$ Number of Days in September[/tex]

  [tex]\[ \text{Prorated Interest for September} = 185,000 \times \frac{6.25\%}{365} \times 14 \][/tex]

 [tex]\[ \text{Prorated Interest for September} \approx 639.38 \][/tex]

Now, let's add up the prorated property taxes and prorated interest:

[tex]\[\text{Total Prorated Taxes and Interest} = \text{Prorated Property Taxes} + \text{Prorated Interest for September}\][/tex]

[tex]\[\text{Total Prorated Taxes and Interest} = 741.12 + 639.38\][/tex]

[tex]\[\text{Total Prorated Taxes and Interest} = 1380.50\][/tex]

So, Allison will owe approximately $1,380.50 in prorated taxes and interest.


Related Questions

If f(x) = x-1/3 and g(x) = 3x+1 , what is the domain of (f*g)(x) ?

Answers

Answer:

-∞ < x < ∞

Set of all integers

Step-by-step explanation:

Given in the question two functions

f(x) = [tex]x^{\frac{1}{3} }[/tex]  = ∛x

g(x) = 3x + 1

(f*g)(x)

f(g(x))

∛(3x+1)

Domain of (f*g)(x)

In function ∛(3x+1) , variable x can be any integer.

so, the domain is set of all integers

-∞ < x < ∞

Which Value Is The Eighth Term In The Sequence?

A. -3125
B. -125
C. -625

Answers

Answer:

C

Step-by-step explanation:

Substitute n = 8 into the explicit rule

[tex]a_{8}[/tex] = - [tex]\frac{1}{125}[/tex] × [tex]5^{7}[/tex]

                        = - [tex]\frac{1}{5^{3} }[/tex] × [tex]5^{7}[/tex]

                       = - [tex]5^{4}[/tex] = - 625 → C

The weight of a basketball is normally distributed with a mean if 17 oz. And a standard version deviation of 2 oz. Suppose 50j0 different basketballs are in a warehouse. How many basketballs weigh more than 19 oz?

Answers

There would be 3 basketballs?

3 basketball because subtract

The radius of a circle is 6 inches what is the circumference?

Answers

The answer is 37.6991 i hope i answered your question

What is the sum of the two vectors (-1,-4) and (3,5)

Answers

Answer:

Step-by-step explanation:

[tex]a(-1, -4)\\b(3, 5)\\a + b(2, 1)[/tex]

The sum of the vectors is (2,1)

How to find the sum of two vectors?

A vector exists as an object that has both a magnitude and a direction. Geometrically, we can imagine a vector as a directed line segment, whose length exists the magnitude of the vector and with an arrow suggesting the direction. The direction of the vector exists from its tail to its head.

(-1,-4) + (3,5)

( -1+3 , -4+5 )

( 2,1)

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what is 18 mm in cm's

Answers

Answer: 1.8 centimeters hope this helps i really need brainlist :)

Answer: answer is 1.8cm

Step-by-step explanation: take 18 and add a decimal in front then move it back 1

8 Look at the following nutrition label.
Nutrition Facts
Serving Size 1/2 cup (1159)
Servings Per Container About 4
Amount per serving
Calories 250
Calories from Fat 130
% Daily Value
22%
45%
Total Fat 14g
Saturated Fat 9g
how many calories are in 1 cup? ​

Answers

Final answer:

To find the number of calories in one cup, we double the amount of calories in a 1/2 cup serving. In this case, 250 calories are in 1/2 cup, so 500 calories are in one full cup.

Explanation:

To calculate the number of calories in one cup based on the given nutrition label, we can use a simple multiplication. Given that 1/2 cup contains 250 calories, we just need to double this amount, because 1 cup is equivalent to two servings of 1/2 cup each.

The equation to find the calories in one cup is:

Calories per 1/2 cup × 2 = Calories per cup

Therefore, the calculation would be:

250 calories × 2 = 500 calories

So, one cup of the food item contains 500 calories.

Which is the graph of the function f(x)=x^2+2x+3

Answers

Answer:

not one of those two...

Step-by-step explanation:

are there other options? when graphed on desmos it looks like this...

The graph of the given function f(x) = x² + 2x + 3 is attached with the answer. It is not from the given two options.

What is a graph?

A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.

The given equation is quadratic f(x) = x² + 2x + 3 so the curve on the graph will be parabolic.

When we put the different values of x in the input function f(x) the output function varies in the form of the parabolic curve the equation is quadratic so it will give two solutions which cut the axis at the points ( 0,3) you can see in the attached graph.

I have attached the correct graph showing the given quadratic equation with the answer below.

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find the area of the shaded region. round to the nearest hundredth where necessary.

Answers

Answer:

this is no picture or any thing to help me to give you a answer

Step-by-step explanation:

Answer:

I am sorry but you don't have a picture.

Step-by-step explanation:

PLEASE HELP WILL MARK BRAINLIEST
-SEE ATTACHMENT-

Answers

ANSWER

[tex](x - 5) ^{5} = {x}^{5} - 25 {x}^{4} + 250 {x}^{3} - 1250 {x}^{2} + 3125x- 3125[/tex]

EXPLANATION

From the Pascal's triangle,

The coefficients are :

1, 5, 10,10, 5,1

Because of the negative sign, the expansion will alternate sign.

[tex](x - y) ^{5} = {x}^{5} - 5 {x}^{4} y + 10 {x}^{3} {y}^{2} - 10 {x}^{2} {y}^{3} + 5x {y}^{4} - {y}^{5} [/tex]

We now put y=5 into the expansion to get,

[tex](x - 5) ^{5} = {x}^{5} - 5 {x}^{4} (5) + 10 {x}^{3} ( {5}^{2}) - 10 {x}^{2} ({5})^{3} + 5x( {5})^{4} - {5}^{5} [/tex]

[tex](x - 5) ^{5} = {x}^{5} - 25 {x}^{4} + 250 {x}^{3} - 1250 {x}^{2} + 3125x- 3125[/tex]

Answer:

(x - 5)^5 = x^5 - 25x^4 + 250x³ - 1250x² + 3125x - 3125

Step-by-step explanation:

The explanation in the attached file

What is the greatest common factor of the terms in the polynomial 4x^4-32x^3-60x^2?

Answers

Answer:

4x^2

Step-by-step explanation:

hope this helps :)

Answer:

ITS CCCCCCCCCCC (4x^2)

subtract (-9x^2+8x-14) from the sum of (-9x^2-10x) and (3x^2+3x+7)​

Answers

Answer:

[tex]3x^2 - 15x + 21\\or\,\,3(x^2 -5x +7)[/tex]

Step-by-step explanation:

First we will find sum of [tex](-9x^2-10x)\,\, and\,\, (3x^2+3x+7)[/tex]

Adding the like terms:

[tex]= -9x^2-10x + 3x^2 +3x+7\\= -9x^2+ 3x^2 -10x+3x+7\\= -6x^2 - 7x +7[/tex]

Now subtract (-9x^2+8x-14) from (-6x^2 - 7x +7)

[tex]=(-6x^2 - 7x +7) - (-9x^2+8x-14)\\= -6x^2 - 7x +7 +9x^2-8x+14\\= -6x^2 +9x^2 - 7x -8x+7 +14\\= 3x^2 - 15x + 21\\=3(x^2 -5x +7)[/tex]

Heather received a 32% discount on a $34 shirt. After the 7% sales tax was added, how much did she pay for the shirt.

Answers

Answer:

24,74

Step-by-step explanation:

the price with tax= 34 : 100 x 107= 36.38

( start price : 100% x 100% with the 7% tax)

now you can calculate the discount = 36.38 ; 100 x 68= 24.74

( start price : 100% x 68 because the full price is 100% but there goes 32 from off so 100-32 = 68)

A percentage is a way to describe a part of a whole. The final cost of the shirt is $24.74.

What are Percentages?

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

The original cost of the shirt is $34, now since a 32% discount is given the cost will be,

$34 - (32% of $34)

= $34 - $10.88

= $23.12

Further, 7% tax is paid on the cost of the shirt after the discount, therefore, the final cost will be,

Final cost = $23.12 + (7% of $23.12) = $24.74

Hence, the final cost of the shirt is $24.74.

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Write an equation with the point (3,7) and has a slope of 7

Answers

Answer:

slope = 7 and point = (3, 7)

b = y - slope*x

b = 7 -7 * 3

b = -14

Then we enter "b" and the slope into this equation:

y = 7x -14

Step-by-step explanation:

What is the most specific name for quadrilateral PQRS?

Answers

It’s hard to help, since there’s no picture :/

Simplify -8+6i/4-2i​

Answers

Answer:

-1.1+0.4i

Step-by-step explanation:

Multiply the numerator and the denominator by [tex]4+2i:[/tex]

[tex]\dfrac{-8+6i}{4-2i}\cdot \dfrac{4+2i}{4+2i}=\dfrac{-32-16i+24i+12i^2}{4^2-(2i)^2}\ \ [\text{use formula }a^2-b^2=(a-b)(a+b)]\\ \\=\dfrac{-32+8i-12}{16-4i^2}\ \ [\text{remember }i^2=-1]\\ \\=\dfrac{-44+8i}{16+4}\\ \\=\dfrac{-44+8i}{20}\\ \\=-\dfrac{11}{10}+\dfrac{4}{10}i\\ \\=-1.1+0.4i[/tex]

Answer:

−11

5

+

2

5

i

Step-by-step explanation:

what is the mean of the values in the stem-and-leaf plot into your answer in the Box​

Answers

Answer:

Step-by-step explanation:

you need more information bu the stem-leaf is meant to split the number

3/4=9/x ASAP help now!!!

Answers

Cross multiply [tex]\frac{3}{4} = \frac{9}{x}[/tex].

3x = 4 * 9

3x = 36

Divide both sides by 3.

[tex]\frac{3x}{3} =\frac{36}{3}[/tex]

x = 12

What type of relationship does this pair of angles have? 161 and 19 degrees

Answers

Answer:

There are supplementary

Step-by-step explanation:

The sum of the given angles is 180 degrees. So, the given angles are supplementary angles.

Important information:

The measures of two angles are 161 and 19 degrees.

We need to find the type of relationship between the given angles.

Supplementary angles:

Two angles are called supplementary angles if their sum is 180 degrees.

The sum of given angles is:

[tex]161^\circ+19^\circ=180^\circ[/tex]

The sum of the given angles is 180 degrees. So, the given angles are supplementary angles.

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A bag contains 10 counters. 6 of them are white. a counter is taken at random and not replaced. A second counter is taken out of the bag at random. Calculate the probability that only one of the two counters are white

Answers

Answer:

[tex]\frac{8}{15}[/tex]

Step-by-step explanation:

The ways we can get "1 counter to be white out of 2 draws" is:

1. If 1st one taken out is white and next one different color, and

2. If 2nd one taken out is white and 1st one different color

In probability, AND means MULTIPLY and OR means ADD

Here, we are actually looking for ways of 1st one white, next one different OR first one different and next one white. Let's find them separately.

1. If 1st one taken out is white and next one different color

there are 6 white and 10 total, so 1st one white is 6/10

not replaced, so now there are 9 total and 4 of them are different,so different probabililty is 4/9

We multiply these two to get:  6/10 * 4/9 = 4/15

2. If 2nd one taken out is white and 1st one different color

probabilty 1st one different color is 4/10 since 4 are different and we have total of 10

since not replaced, now we have 9 total and still 6 white.

probability of white in 2nd draw is 6/9

We multiply these two to get:  4/10 * 6/9 = 4/15

Now we add these 2 as stated earlier, so 4/15 + 4/ 15 = 8/15

Answer:

Step-by-step explanation:

Charlotte puts a present in a box with a length of 114 ft, a width of 34 ft and a height of 1 foot.

What is the least amount of wrapping paper needed to cover the present box?

Answers

Answer:8048ft

Step-by-step explanation: A=2(wl+hl+hw) so 2(34*114)+(1*114)+(1*34)=8048

The box and whisker plot displays a set of data obtained from a marketing survey. Drag each item to the appropriate position on the number line. Drag the extra item to the box not associated with the number line.

Choices...
mean
median
outlier
minimum number in summary of data

picture is where these are suppose to go

Answers

Answer:

the one for the arrow point to #26 is min # in summary of data

the one where the arrow points between#30 and 32:  median

arrow pointing to #44 is: outlier

and the bottom choice is: mean

Step-by-step explanation:

Suppose P(A) =0.9, P(B) = 0.6, and P(B|A) = 0.2. What is P(A|B)

A) 0.36
B)0.45
C)0.3
D)0.6

Answers

P(B|A): P(A and B) / P(A)

P(A and B): P(A)•P(B) so 0.9 • 0.6 = 0.54

P(A|B): 0.54 / 0.9 = 0.6

Answer: D) 0.6

The value of the conditional probability is given by Bayes theorem and the value of P ( A | B ) = 0.1333

What is Bayes Theorem?

The likelihood that an event will occur based on the likelihood that a comparable outcome will occur in the future. The theorem offers a method for updating existing predictions or hypotheses in light of fresh or updated data. This is known as conditional probability.

Bayes Theorem states that based on past knowledge of circumstances that could be relevant to the occurrence, the Bayes Theorem estimates the likelihood of an event.

And , P ( A | B ) = [ P ( B | A ) P ( B ) ] / P ( A )

Given data ,

Let the conditional probability be represented as P

Now , the value of P ( A ) = 0.9

The value of P ( B ) = 0.6

The value of P ( B | A ) = 0.2

From the Bayes theorem , we get

P ( A | B ) = [ P ( B | A ) P ( B ) ] / P ( A )

On simplifying , we get

P ( A | B ) = [ 0.2 x 0.6 ] / 0.9

P ( A | B ) = 0.12 / 0.9

P ( A | B ) = 0.1333

Hence , the Bayes theorem is solved

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need help asap!!!


A baseball team averages one win to every one loss.The coach tosses three coins to simulate three games.Heads represents a win and tails represents a loss.The results of 10 coin tosses are shown.Find the experimental probability of 3 losses.

(A)1/5

(B)1/4

(C)1/2

Answers

A is the correct answer

Answer:

(A) 1/5

Step-by-step explanation:

The experimental probability is defined as the ratio between the number of time certain events occurs and the total number of trials.

In this case, there are 10 coin tosses. Notice that there are only two events where the lose three times, that means the probability is

[tex]P=\frac{2}{10}=\frac{1}{5}[/tex]

Which means that in two cases out of ten the lose three games.

Therefore, the right answer is A.

James's weekly quiz scores are shown in the stem-and-leaf plot below.


If he drops his scores from the first two weeks, his mode score increases by $2$. How much would his mean score increase?

Answers

Answer:

By 0.75

Step-by-step explanation:

From the stem-and-leaf plot you can find James's scores:

79, 81, 83, 83, 83, 85, 85, 88, 94, 99.

The mode is 83 (most often score). If he drops his scores from the first two weeks, his mode score increases by 2. This means that the mode became 85 and the data looks like

79, 81, 83, 85, 85, 88, 94, 99.

Now find two means.

1. The old mean:

[tex]\dfrac{79+81+83+83+83+85+85+88+94+99}{10}=\dfrac{860}{10}=86;[/tex]

2. The new mean:

[tex]\dfrac{79+81+83+85+85+88+94+99}{8}=\dfrac{694}{8}=86.75;[/tex]

Thus, the mean will increase by 0.75.

What is the length of XY

Answers

Answer:

F. 2cm

Step-by-step explanation:

If RSTU ≅ XWZY, then RS = XW, RU = XY, ST = WZ and TU = ZY.

RU = 2cm. Therefore XY = 2cm.

What number replaces the ◊?
15 = 15
15 + 4 + ◊ = 15 + 7

A. 3

B.4

C.19

D. 22

Answers

Answer:

The answer is A.

15 + 4 + 3 = 15 + 7

A. 3

First, simplify the equation. (x means the same thing as the symbol)

19 + x = 22

Subtract 19 from both sides of the equation.

x = 22 - 19

x = 3

There’s the answer!

Ryan is buying a triangular tract of land. The triangle has a base of 100 yards and a height of 30 yards. What is the area of the tact to land? HELPPPP PLZZZ

Answers

Answer:may be crazy but its 300.

Step-by-step explanation:

Answer:

300

Step-by-step explanation:

Area is multiplying the numbers together basically. 100*30=300.

Draw 2 cards from a standard deck of 52 cards. What is the probability that the first card is a queen and the second card is a king?

Answers

Answer:

4/663

Step-by-step explanation:

There are four queens.  The probability that the first card is a queen is 4/52.

There are four kings.  There are 51 cards left after the first card has been drawn, so the probability that the second card is a king is 4/51.

Therefore, the probability that the first card is a queen AND the second card is a king is:

P = 4/52 × 4/51

P = 4/663

The probability of drawing a queen first and a king second from a standard deck without replacement is 1/663.

The student is asking about the probability of drawing two specific cards from a standard deck of 52 cards. To calculate this probability, we need to consider the sequence of events without replacement. For the first card to be a queen, the probability P(A) is 4/52 because there are 4 queens in a deck of 52 cards. After drawing a queen, there are now 51 cards left in the deck. The chance that the second card is a king, P(B), is then 4/51, as there are still 4 kings but only 51 cards remaining.

The two events are dependent since the outcome of the first draw influences the second. Therefore, the combined probability of both events occurring is found by multiplying the probabilities of each event:

P(A and B) = P(A) × P(B) = (4/52) × (4/51)

This gives us P(A and B) = 1/13 × 1/51, which simplifies to 1/663.

What is the interquartile range of the following data set? 45,12,48,96,61,84,29,1,72,5,14

Answers

Answer:

60

Step-by-step explanation:

Population size : 11

To calculate inter-quartile range

Order the data from least to greatest.Find the median.Calculate the median of both the lower and upper half of the data.The IQR is the difference between the upper and lower medians.

Step 1

1, 5 , 12 ,14 , 29 , 45 , 48, 61 , 72 , 84 , 96

Step 2

medium = 45

Step 3

Q1

1 , 5 , 12 ,14 , 29

median = 12

Q3

48 , 61 , 72 , 84 , 96

median = 72

Step 4

IQ = Q3 - Q1

    = 72 - 12

    = 60

Answer: 60

Step-by-step explanation: Apex said so

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