Assume you get a 15-year $165,000 mortgage loan at 8.2% interest, with monthly payments. Use the amortization registers of your calculator to find the balance after payment 100.
$66,878.13
$98,101.87
$97,176.29
$92,695.87

Answer:

3.55

Step-by-step explanation:

This is simply combining like terms.

First, lets evaluate the terms separately.

x = 8 - (-2.25)

x = 8 + 2.25 (Negative signs cancel out)

x = 10.25 (Combine like terms)

y = 6 - 4.2 - (-4.9)

y = 6 - 4.2 + 4.9 (Negative signs cancel out)

y = 6.7 (Combine like terms)

Now, lets plug in these values to x - y.

(10.25)  - (6.7)

3.55

The value of x - y is equal to 3.55.

Answer:

Step-by-step explanation:

There are 11 ways, 5 of them are straight and 6 are involving side moves

See attached picture

Answer:

333 hours

Step-by-step explanation:

you didvide 999by 3

The equation formed is,

Here x is represent it will take to save enough money. If she saves $2 each week, then in x weeks she will save 2x dollars.

The already saved amount is $10 and

Check the picture below.

let's recall that, the arc made from 0 to π is just half a circle or namely a semi-circle, so any fraction of π refers to that arc

\(\cfrac{11\pi }{18}\qquad \textit{really means}\qquad \cfrac{11}{18}\qquad \textit{of that semi-circle}\)

Answer:

15x^5

Step-by-step explanation:

That's the answer I got im pretty sure it correct

Answer:

B.

Step-by-step explanation:

Answer: B

Step-by-step explanation:

Answer:

This is a ssa situation, no triangle is possible.

Step-by-step explanation:

"SSA" means "Side, Side, Angle".

In an SSA triangle, we are given two sides and an angle that is not the angle between the given sides.

In triangle ABC:

Given:

The angle that is between the sides a and b is angle C.

Therefore, as angle A is not the angle between the given sides, ΔABC is an SSA triangle.

Law of Sines

\(\sf \dfrac{\sin A}{a}=\dfrac{\sin B}{b}=\dfrac{\sin C}{c}\)

(where A, B and C are the angles and a, b and c are the sides opposite the angles)

To determine if any triangles are possible, substitute the given values into the Law of Sines to find angle B:

\(\implies \sf \dfrac{\sin 44^{\circ}}{12.6}=\dfrac{\sin B}{19}\)

\(\implies \sf \sin B=\dfrac{19\sin 44^{\circ}}{12.6}\)

\(\implies \sf \sin B=1.0475007...\)

As -1 ≤ sin B ≤ 1, there is no solution for angle B.

Therefore, although this is an SSA situation, no triangle is possible.

Step-by-step explanation:

I guess the answer is 187MB

Answer:

the answer's is 1 pound

Answer:

2 pounds

Step-by-step explanation:

Hope this helps :)

Answer:

-1/2

Step-by-step explanation:

slope = -a/b = -2/4 = -1/2

Answer:

1/10 or 10%.

Step-by-step explanation:

If the generator includes the numbers 1 and 10 then there are a total number of 10 possible number outcomes that the number generator can generate. Out of all of these outcomes, only one of those would be generating a 7. Therefore, the probability of the generator generating a 7 would be 1/10 or 10%. This is assuming that it only generates 1 number.

The interval of the graph at which Susan is running fastest is from point A ( 0 , 0 ) to B ( 10 , 3 )

Given data ,

Susan is running a 5k race. The graph of distance vs. time is shown

So , the slope of the first line is m₁

And , the slope of the second line is m₂

where the points are A ( 0 , 0 ) , B ( 10 , 3 ) , C ( 20 , 4 )

Now , slope of AB is

m₁ = ( 3/10 ) = 0.3

And , m₁ = 0.3 kilometers per minute

And , slope of BC is

m₂ = ( 4 - 3 ) / ( 20 - 10 )

m₂ = 1/10

m₂ = 0.1 kilometers per minute

Therefore , the interval is fastest at second line from B ( 10 , 3 ) , C ( 20 , 4 )

Hence , Susan is running fastest is from point A ( 0 , 0 ) to B ( 10 , 3 )

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A graph of the given piecewise-defined function is shown in the image below.

In Mathematics and Geometry, a piecewise-defined function simply refers to a type of function that is defined by two (2) or more mathematical expressions over a specific domain.

Generally speaking, the domain of any piecewise-defined function simply refers to the union of all of its sub-domains. By critically observing the graph of this piecewise-defined function, we can reasonably infer and logically deduce that it is constant over several intervals or domains such as x > 2 and x < -2.

In conclusion, this piecewise-defined function has a removable discontinuity.

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According to the vertical asymptote of the graph, the rational function is:

A. \(F(X) = \frac{1}{x + 4}\)

A vertical asymptote of a function is a point that is outside of it's domain.

In the graph, the vertical asymptote is at x = -4, hence \(x = -4 \rightarrow x + 4 = 0\) is a root of the denominator, and the correct option is:

A. \(F(X) = \frac{1}{x + 4}\)

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Answer to your question is A. F(X)=1/x+4

The probability of having at least 2 red balls in the 3 that I picked will be 1/3.

Its fundamental concept is that someone will nearly surely occur. The proportion of positive events in comparison to the total of occurrences.

Then the probability is given as,

P = (Favorable event) / (Total event)

I have 3 red balls, 3 blue balls, and 3 yellow balls in a crate. All out of 9 balls.

If the three balls are picked randomly, then the probability of having at least 2 red balls in the 3 that I picked will be given as,

P = 3/9

P = 1/3

The probability of having at least 2 red balls in the 3 that I picked will be 1/3.

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Mary can cover 1 mile of the distance in 12 minutes

The unit rate is can be expressed in any unit for instance minute per mile, miles/hour etc

For instance, if Mary covers 3 miles in 36minutes, her unit rate in minute oper mile is expressed as:

Unit rate = 36min/3miles

Unit rate = 12 minutes/mile

This shows that Mary can cover 1 mile of the distance in 12 minutes

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Answer:

the total average monthly expenditure in 2020 was £2400.

Step-by-step explanation:

c) To find the total average monthly expenditure in 2020, we need to add up all the individual expenditures in each category. From the given data, we have:

Average monthly expenditure in 2020 = 600 + 500 + 400 + 300 + 200 + 100 = £2400

So, the total average monthly expenditure in 2020 was £2400.

Given x = 7, we have:

Answer: 42

Answer:

20 vegetable plants and 30 flower plants

Step-by-step explanation:

Answer:

3x+10>10

Step-by-step explanation:

Answer:

3x+10

Step-by-step explanation:

The x is the sticker books because there could be any amount of stickers in there and the 10 is the new stickers.

f=3s

f = the amount of flour

Hope this helps! :)

Answer:

≈51.55

Step-by-step explanation:

∆/360 πD = 7.2

x/360 *22/7*16= 7.2

x/360 *50/2/7= 7.2

x/360 = 63/440

x =51.54545455

≈51.55

The following table shows the number of hours 45 hospital patients slept for one night. Use the table to answer the questions:Hours of Sleep | Patients0-2 | 53-5 | 96-8 | 179-11 | 2212-14 | 10a) How many patients slept between 6 and 11 hours?A total of 22 patients slept between 6 and 11 hours.

To find out, we need to add the number of patients who slept for 6-8 hours (17) and those who slept for 9-11 hours (5). Therefore, 17+5=22.b)

The mode is the value that occurs most frequently in the data set. In this case, the mode is the number of hours that the highest number of patients slept.

From the table, we can see that 9-11 hours is the mode because 22 patients slept for that number of hours, which is more than any other number of hours.c)

The median is the middle value in the data set when the data are arranged in numerical order. In this case, we have 45 patients, so we need to find the middle value between the 22nd and 23rd patients. These patients slept for 9-11 hours, so the median is 9-11 hours.

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Answer:

1/5 of your money is = 30

Step-by-step explanation:

2/5 of your money is equal to 60, so if you divide 60 by 2 you will get 30, which is 1/5 of your money. A way to check if it is right is by multiplying 30 by 5, which is 150, and divide it by 5, to see if it matches (150 : 5 = 30).

hope this helps!

answer:30

explanation:

2/5×X=60

X=150

means your money is 150

so 1/5 of your money is 1/5×150=30

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Explanation:

There are 45 carpenters total. 18 have kids, so 45-18 = 27 do not have kids.

The ratio of the total to the number who don't have kids is 45:27. We write the numbers in the exact order mentioned. Divide both parts of that ratio by the GCF 9 to get the final answer of 5:3

This says that for every 5 carpenters total, there are 3 who don't have kids.

Answer:

  the numbers are 3, 5, 4

Step-by-step explanation:

The given relations can be written as a system of equations. These are conveniently solved using elimination.

Let the three numbers be represented by x, y, z. The given relations are ...

  x +y +z = 12

  x -y +z = 2

  x +y -z = 4

Subtracting the second equation from the first gives ...

  (x +y +z) -(x -y +z) = (12) -(2)

  2y = 10 . . . . . . . . . simplify

  y = 5 . . . . . . . . divide by 2

Subtracting the third equation from the first gives ...

  (x +y +z) -(x +y -z) = (12) -(4)

  2z = 8 . . . . . . . . . simplify

  z = 4 . . . . . . . . divide by 2

Using these values of y and z in the first equation lets us find x:

  x +5 +4 = 12

  x = 3 . . . . . . . . . subtract 9

The numbers, in order, are (3, 5, 4).

Answer:

The price now would be 9 dollars

Step-by-step explanation:

60 x 85%  is 51 and you subtract that from 60

Answer:

The answer is "Option b".

Step-by-step explanation:

In the calculation of engineering or modeling, it is used to assess its necessary system, that performance, and also used to evaluate the distribution network adjustments, which is used to accommodate the slew of other distribution network adjustments, that's why except "choice b" all were incorrect.