Mathematics College

lars has been approved for$420,000, 20-year mortgage with an APR of 5.125%.What is his monthly payment ? How much interest would he expect to pay on the loan in one month?How much of the monthly payment will go towards the principal?

Answers

Answer 1

Answer:

Monthly Payment = $2,286.85

Interest on first month payment = $1,793.75

Principal value on first month payment = $493.10

Step-by-step explanation:

lars has been approved for $420,000 for loan.

Time for loan = 20-years

APR (Annual Rate of interest ) = 5.125%

We need to find monthly payment. First month interest and First month principle.

Formula for loan:

[tex]p=\dfrac{PV\cdot \frac{r}{n}}{1-(1+\frac{r}{n})^{-nt}}[/tex]

Where,

p is monthly payment.

PV = Loan Amount (PV=$420,000)

R = Rate of interest (R=0.05125)

t = Loan period ( t=30)

n = Mode of payment (n=12)

Substitute the value into formula and solve for p

[tex]p=\dfrac{420000\cdot \frac{0.05125}{12}}{1-(1+\frac{0.05125}{12})^{-12\cdot 30}}[/tex]

p=$2,286.85

Thus, Monthly Payment =$2,286.85

Interest for first month [tex]=420000\times \dfrac{0.05125}{12}=1793.75[/tex]

Interest pay on the loan in on month = $1,793.75

Principle value on first month payment = 2286.85 - 1793.75 = $493.10

The monthly payment will go towards the principal is $493.10

Related Questions

A train arrives at the station with 150 passengers on board.2/5 of the passengers get off the train in Seattle,and then 35 passengers board the train.How many passengers are on the train when it leaves the station?

Answers

2/5 of 150 is 60. So 60 people leave the train leaving 90 people on it. 90 + 35 is 125. The answer should be 125.

Good luck!!

150/5=30
30×2=60
60+35=95
so there are 95 passengers when the train leaves.

1410+0515 in milartary time

Answers

That would be 1925 ( 15 + 05 = 19 and 10 + 15 = 25)

19:25 or if you want it standard it would be 7:25pm

Lynn and dawn tossed a coin 60 times and got heads 33 times. What is the experimental probability of tossing heads using Lynn and dawn's results?

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The experimental probability would be 33 out of 60 or 55%

Sam can plant 261 cabbage plants in 1 row of his garden . How many rows in his garden must be used to plant 1044 plants

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4 rows becsuse 261 × 4 = 1044. hop it helped

rihanna has a spinner, which is divided into four equal parts. the parts are numbered 1, 2, 3, and 4. if rihanna spins the spinner and tosses a coin, which table shows all the possible outcomes

Answers

Total parts in which a spinner is divided = 4

Each part is named as 1,2,3,4.→Total possible outcome when spinner gets in the motion.

When we toss a coin , total possible outcome = {H,T}

So, all the possible outcome when Rihana spins the spinner and tosses a coin = {H 1 , H 2, H 3 , H 4, T 1, T 2, T 3, T 4}=8

Answer:

that it c and it was is

Let f(x)=5x3−60x+5 input the interval(s) on which f is increasing. (-inf,-2)u(2,inf) input the interval(s) on which f is decreasing. (-2,2) find the intervals on which f is concave up. (-inf,-2)u(2,inf) find the intervals on which f is concave down.

Answers

Answers:

(a) f is increasing at [tex](-\infty,-2) \cup (2,\infty)[/tex].

(b) f is decreasing at [tex](-2,2)[/tex].

(c) f is concave up at [tex](2, \infty)[/tex]

(d) f is concave down at [tex](-\infty, 2)[/tex]

Explanations:

(a) f is increasing when the derivative is positive. So, we find values of x such that the derivative is positive. Note that

[tex]f'(x) = 15x^2 - 60 [/tex]

So,

[tex] f'(x) \ \textgreater \ 0 \\ \\ \Leftrightarrow 15x^2 - 60 \ \textgreater \ 0 \\ \\ \Leftrightarrow 15(x - 2)(x + 2) \ \textgreater \ 0 \\ \\ \Leftrightarrow \boxed{(x - 2)(x + 2) \ \textgreater \ 0} \text{ (1)}[/tex]

The zeroes of (x - 2)(x + 2) are 2 and -2. So we can obtain sign of (x - 2)(x + 2) by considering the following possible values of x:

-->> x < -2
-->> -2 < x < 2
--->> x > 2

If x < -2, then (x - 2) and (x + 2) are both negative. Thus, (x - 2)(x + 2) > 0.

If -2 < x < 2, then x + 2 is positive but x - 2 is negative. So, (x - 2)(x + 2) < 0.
If x > 2, then (x - 2) and (x + 2) are both positive. Thus, (x - 2)(x + 2) > 0.

So, (x - 2)(x + 2) is positive when x < -2 or x > 2. Since

[tex]f'(x) \ \textgreater \ 0 \Leftrightarrow (x - 2)(x + 2) \ \textgreater \ 0[/tex]

Thus, f'(x) > 0 only when x < -2 or x > 2. Hence f is increasing at [tex](-\infty,-2) \cup (2,\infty)[/tex].

(b) f is decreasing only when the derivative of f is negative. Since

[tex]f'(x) = 15x^2 - 60 [/tex]

Using the similar computation in (a),

[tex]f'(x) \ \textless \ \ 0 \\ \\ \Leftrightarrow 15x^2 - 60 \ \textless \ 0 \\ \\ \Leftrightarrow 15(x - 2)(x + 2) \ \ \textless \ 0 \\ \\ \Leftrightarrow \boxed{(x - 2)(x + 2) \ \textless \ 0} \text{ (2)}[/tex]

Based on the computation in (a), (x - 2)(x + 2) < 0 only when -2 < x < 2.

Thus, f'(x) < 0 if and only if -2 < x < 2. Hence f is decreasing at (-2, 2)

(c) f is concave up if and only if the second derivative of f is positive. Note that

[tex]f''(x) = 30x - 60[/tex]

Since,

[tex]f''(x) \ \textgreater \ 0 \\ \\ \Leftrightarrow 30x - 60 \ \textgreater \ 0 \\ \\ \Leftrightarrow 30(x - 2) \ \textgreater \ 0 \\ \\ \Leftrightarrow x - 2 \ \textgreater \ 0 \\ \\ \Leftrightarrow \boxed{x \ \textgreater \ 2} [/tex]

Therefore, f is concave up at [tex](2, \infty)[/tex].

(d) Note that f is concave down if and only if the second derivative of f is negative. Since,

[tex]f''(x) = 30x - 60[/tex]

Using the similar computation in (c),

[tex]f''(x) \ \textless \ 0 \\ \\ \Leftrightarrow 30x - 60 \ \textless \ 0 \\ \\ \Leftrightarrow 30(x - 2) \ \textless \ 0 \\ \\ \Leftrightarrow x - 2 \ \textless \ 0 \\ \\ \Leftrightarrow \boxed{x \ \textless \ 2}[/tex]

Therefore, f is concave down at [tex](-\infty, 2)[/tex].

2 groups of students were acts how many hours they spent reading each day the table below shows the numbers for each group

Answers

Where is the table because i will need the table to answer this specific complex problem

Two angle add up to be complementary if one angle is 15 degree more than 2 times the other find the value of the smaller side

Answers

Let x and y represent the two angles.
.. x + y = 90 . . . . . . two angles are complementary
.. x -2y = 15 . . . . . . one angle is 15 more than twice the other (y = smaller angle)

Subtract the second equation from the first.
.. (x +y) -(x -2y) = (90) -(15)
.. 3y = 75
.. y = 25

The smaller angle is 25 degrees.

The city of austin can buy roads or light rail. if 10 miles of roads cost $1 million and 2 miles of light rail cost $10 million, what is the city's opportunity cost of 1000 miles of roads?
a. $1,000 million
b. 200 miles of light rail
c. 2 miles of light rail
d. $100 million
e. $50 million

Answers

The first part is how many dollars would it cost to build 1000 miles of road. The second part is to determine how much light rail could be made for the same amount.

10 miles of road = $1 million. Multiply by 100 to get the cost for 1000 miles of road.

1000 miles = $1 million * 100 = $100 million.

For the same $100 million, the city could build 20 miles of light rail. (2 miles for $10 million, multiply by 10 = 20 miles for $100 million).

Andrew earns an allowance of $14 the first week, $17 the next week, $20 the following week, and so on.

How much will Andrew earn over the course of 10 weeks?

Answers

Hey there!

First, we need to find out the pattern here:

The allowance keeps adding up by the number 3 (14 + 3 = 17, 17 + 3 = 20)
Now let's just keep adding 3:

Week 1 - $14
Week 2 - $17
Week 3 - $20
Week 4 - $23
Week 5 - $26
Week 6 - $29
Week 7 - $32
Week 8 - $35
Week 9 - $38
Week 10 - $41

Add up the weeks . . .

14 + 17 = 31
31 + 20 = 51
51 + 23 = 74
74 + 26 = 100
100 + 29 = 129
129 + 32 = 161
161 + 35 = 196
196 + 38 = 234
234 + 41 = 275

Your final answer is 275. Andrew will earn $275 over the course of 10 weeks.

Hope this helps you.
Have a great day!

what is the reciprocal

Answers

keeping in mind that, any expression, can be written as a rational with a denominator of 1, since 3 is really 3/1 and 3/1 is well, just 3, likewise, "anything" is just "anything"/1 and so on.

the reciprocal of a rational, is just the same thing, upside-down, thus

[tex]\bf u^2-s^2\implies \cfrac{u^2-s^2}{1}\implies \stackrel{reciprocal}{\cfrac{1}{u^2-s^2}}[/tex]

hello!

In order to find the reciprocal of a number, we should just flop it over.

If we're asked to find the reciprocal of a fraction, then the numerator & denominator of the fraction switch places.

If we're asked to find the reciprocal of an expression, then we also flop it over, like so:-

[tex]\pmb{u^2-s^2}\longmapsto\pmb{\displaystyle\frac{u^2-s^2}{1} }\longmapsto\pmb{\displaystyle\frac{1}{u^2-s^2} }[/tex]

Explanation of steps:-

First, I turned the expression into a fraction by adding a denominator of 1.

Then, I flopped it over and found the reciprocal.

Hence, the reciprocal of u²-s² is:-

[tex]\bigstar{\boxed{\pmb{\displaystyle\frac{1}{u^2s^2} }}}[/tex]

note:-

Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)

The price of milk is believed to increase by 54% over the next 3 years. If 2 gallons of milk costs $2.50 now, what will the price be in 3 years after the increase?

Answers

2.50*1.54=3.85
$3.85 will be the cost of the milk in three years

Final answer:

To find the future price of milk after a 54% increase, multiply the current price by 1.54. For 2 gallons of milk costing $2.50 now, the future price will be $3.85.

Explanation:

To calculate the future price of milk after a 54% increase over 3 years, we first need to determine the percentage increase in decimal form and then apply it to the current price. An increase of 54% is equivalent to a multiplier of 1.54 in decimal form.

Therefore, if 2 gallons of milk currently cost $2.50, we calculate the future cost by multiplying $2.50 by 1.54.

Here's the calculation:

Convert the percentage increase to a decimal: 54% = 0.54.

Add 1 to the decimal to account for the total value after the increase: 1 + 0.54 = 1.54.

Multiply the current price of 2 gallons of milk by the increase factor: $2.50 x 1.54 = $3.85.

After a 54% increase, the price for 2 gallons of milk will be $3.85.

Find the radius of a cylinder with a volume of 208 cm3 and a height of 4 cm.

Answers

Volume = πr²h

----------------------------------------------
Find radius :
----------------------------------------------
208 = π x r² x 4

r² = 208 ÷ 4π
r² = 16.55
r = √16.55
r = 4.07 cm

----------------------------------------------
Answer: The radius is 4.07 cm.
----------------------------------------------

ABC undergoes a dilation, with a scale factor of 6, to form A’B’C’

Side A’B’ is 6 times the length of slide AB

what is the area of A’B’C, compared to the area of ABC?

Answers

Given that ABC has gone a dilation with scale factor of 6 to form A'B'C'. The linear scale factor of the triangles is 6. Thus when we compare the areas of the two triangles we shall use the area scale factor which is given by:
area scale factor=(linear scale factor)²
hence
area scale factor=6²
thus we conclude that the area of A'B'C' is 36 times the area of ABC

Larry use a pattern of colors to make a Q train he use a regular a blue cube a Red Cube and another Red Cube before he start the pattern again he use 15 cubes how many red cubes are Larry use

Answers

Larry will use 10 red cubes and 5 blue cubes

What is the equation for the line of curve of best fit for the following data?

{(4, 32), (20, 808), (17, 662), (8, 125), (13, 307)}

Option 1. y = -240x + 50.5

Option 2. y = 50.5x - 240

Option 3. y = 2.2x^2 - 1.6x - 1.6

Option 4. y = -0.08x^4 + 3.7x^3 - 56.6x^2 + 361.5x - 726.9

Answers

Correct answer:
Option B. y = 50.5x - 240

If we plot these points on a graph, we will observe that these points mostly lie in a straight line. Therefore, a straight line will be the best fit for the given ordered pairs. The equation of the best fit can be found using any tool like Statistica, Stata or Excel. I have used Microsoft Excel to plot the lines and find the equation of best fit. The graph and equation are shown below in the image attached with:

A rope of length 2/5 m is cut into 4 equal cords. What is the length of each cord?

Answers

every piece of cord is 1/10 of a meter long

i think the answer is 10
hope it helps
please mark as brainliest

A rectangle has dimensions 10 cm by 6 cm. determine the measures of the angles at the point of where the diagonals intersect

Answers

see the attached figure to better understand the problem

we know that

in the triangle ABC
tan(alfa/2)=AC/BC----> 5/3
so
(alfa/2)=arctan (5/3)---------> 59.0362°
alfa=2*59.0362--------> alfa=118.07°
alfa+beta=180°----------> because are supplementary angles
beta=180-118.07-------> beta=61.93°

the answer is
the angles are
alfa=118.07°
beta=61.93°

Which exponential equation is equivalent to the logarithmic equation below? c = ln 2

Answers

1. To solve this problem, you need to remember that an exponential function has the following form:

f(x)=a^x

"a" is the base and "x" is the exponent.

2. It is important to know that the logarithmic functions and the exponential functions are inverse. Then, you have:

c=ln2
e^c=e^(ln2)
e^c=2

3. Therefore, the answer is:

e^c=2

e^c=2

Step-by-step explanation:

Find two different sets of parametric equations for the given rectangular equation (there are many correct solutions) x^2+4y^2 - 16=0

Answers

Daw load photo maths

What is the answer to the equations

Answers

we have that

1) triangle
a=3
b=5
c=?
applying the Pythagoras theorem
c²=a²+b²----> 3²+5²=34
c=√34
the answer part N 1) is c=√34

2) triangle
a=?
b=6
c=8
applying the Pythagoras theorem
c²=a²+b²----> a²=c²-b²-----> 8²-6²-------> a=√28
a=√28
the answer part N 2) is a=√28

3) triangle
a=?
b=3
c=√15
applying the Pythagoras theorem
c²=a²+b²----> a²=c²-b²-----> √15²-3²-------> a=√6
a=√6
the answer part N 3) is a=√6

4) triangle
a=5
b=6
c=13
c²--------> 13²=169
a²+b²----> 5²+6²=61
c²> (a²+b²)------------> the triangle is obtuse

5) triangle
a=5
b=12
c=13
c²--------> 5²=25
a²+b²----> 12²+13²=313
c²< (a²+b²)------------> the triangle is acute

6) triangle
a=9
b=11
c=13
c²--------> 9²=81
a²+b²----> 11²+13²=61
c²> (a²+b²)------------> the triangle is obtuse

N 8) the base of a ladder is placed 6 feet from a wall. If the top of the ladder is at a point 8 feet high, how long is the ladder?
we have that
a= 8 ft
b=6 ft
c=?
applying the Pythagoras theorem
c²=a²+b²----> 8²+6²-----> √100-------> c=10 ft
c=10 ft
the answer part N 8) is 10 ft

N 9) Amy laptop computer has a 15 inch diagonal and is 14 inch wide. Determine the height of the screem
we have that
a=?
b=14 in
c=15 in
applying the Pythagoras theorem
c²=a²+b²----> a²=c²-b²-----> 15²-14²-------> a=√29-----> a=5.39 in
a=5.39 in
the answer part N 9) is a=5.39 in

N 10)
we have that
a= 5
b=12
c=?
applying the Pythagoras theorem
c²=a²+b²----> 5²+12²-----> √169-------> c=13 blocks
c=10 ft
the answer part N 10) is 13 blocks

grandma baked cookies, she gave 7 to Sandy . she gave half of what was left plus 1 to sue. she gave 3 to Stan. then she gave half of what was left to Steve. since there was only 2 left she ate them herself. how many cookies did ahe bake?

Answers

Let's see. We know that x > 13 for sure. That's because we have 4 constant numbers: 7, 1, 3, 2. The total amount of cookies must be larger than 13 because those numbers equal 13 already.

If you then look, it says that after Sandy and Sue and Stan, Steve was given half of the cookies left. After Steve's cookies were given, there were only two left for grandma. That means Steve got 2 cookies, because grandma also got 2. Now we know that the total amount of cookies must be > than 15.

But using this information, we know that after 3 cookies were given to Stan, there were 4 cookies (b/c 2 + 2 = 4). This also means that before 3 cookies were given to Stan, there were 7 cookies (b/c 4 + 3 = 7).

So now I did a little trial and testing. After a few tries, I've found the answer. Grandma baked 23 cookies in total.

23 - 7 = 16. 16 / 2 = 8. 8 + 1 = 9. 16 - 9 = 7. 7 - 3 = 4. 4 / 2 = 2. 4 - 2 = 2.

Sorry if this was a tad confusing, hope it helps though!

An item is regularly priced at $ 40 . It is on sale for 40 % off the regular price. How much (in dollars) is discounted from the regular price?

Answers

40 percent of something is the same as multiplying it by 40/100, so to find 40% of $40, you would multiply $40 * 40/100 = $16 discounted

$16 are discounted from the regular price of the item.

Discounts

Given that an item is regularly priced at $40, and it is on sale for 40% off the regular price, to determine how much (in dollars) is discounted from the regular price, the following calculation must be performed:

40 - (40 x (1 - 0.4)) = X40 - (40 x 0.6) = X40 - 24 = X16 = X

Therefore, $16 are discounted from the regular price of the item.

Learn more about discounts in https://brainly.com/question/1289629

Please help me god bless you.

Answers

I think it is the same distance from point A to CD

In a taxi, there is a pregnant lady that's 25 years old.An elder that's 76 years old. The taxi driver who's 34 years old. Who is the youngest?

Answers

The baby in the mothers stomach

baby in mothers stomach its 0 days
i got yououu

Compare the decimals 1,825.10 and 1,825.1. Which is correct? A. 1,825.10 > 1,825.1 B. 1,825.10 < 1,825.1 C. 1,825.10 = 1,825.1

Answers

THEY ARE EQUAL
1,825.1=1,825.10

This figure is a step in which construction?

A. a line parallel to <-AB-> through point P.

B. a line perpendicular to <-AB-> through point P.

Answers

This will give you many results. AP = PB by construction

C is a point made by making the compass points such that AC>AP and the compass points are not altered so that BC = AC

C when joined to P creates a perpendicular line. This is very important. You use it a lot.

Answer:

Option: B is the correct answer.

B. a line perpendicular to <-AB-> through point P.

Step-by-step explanation:

We know that a line perpendicular to a given line is constructed as follows:

1) Draw a line segment AB

2) Take a span of compass more than half the length of AB and keep the point of compass first at A and then at B to make a arc above AB.

3) Draw a straight line that passes through the intersection of arc and line AB such that it meets AB at point P which will act as a midpoint of line AB.

Hence, the correct option is:

Option: B

The equation d = can be used to calculate the density, d, of an object with mass, m, and volume, V. Which is an equivalent equation solved for V?

Answers

Another equation to get V is mass/density.
A way to get density is mass/volume
A way to get mass is density times mass.
I know you didn't ask for the other equations, but I listed them to show how density, volume, and mass are related. To answer your question, to get volume you divide mass by density.

The equation [tex]d=(m)/(V)[/tex] can be used to calculate the density, [tex]d[/tex], of an object with mass, [tex]m[/tex], and volume, [tex]V[/tex]. [tex](m)/(d)=V[/tex] is an equivalent equation solved for [tex]V[/tex].

To find the equation equivalent to [tex]d= m/V[/tex] solved for [tex]V[/tex], we need to isolate [tex]V[/tex]on one side of the equation.

Given the equation [tex]d= m/V,[/tex] where [tex]d[/tex] represents density, [tex]m[/tex] represents mass, and [tex]V[/tex] represents volume.

To solve for [tex]V[/tex] , we can rearrange the equation:

[tex]d= m/V[/tex]

First, let's get rid of the fraction by multiplying both sides by [tex]V[/tex]:

[tex]d*V=m[/tex]

Now, to isolate [tex]V[/tex], we need to divide both sides by [tex]d[/tex]:

[tex]V= m/d[/tex]

So, the equivalent equation solved for [tex]V[/tex] is:

[tex]V= m/d[/tex]

This corresponds to option C: [tex]m/d=V.[/tex]

COMPLETE QUESTION:

The equation [tex]d=(m)/(V)[/tex] can be used to calculate the density, [tex]d[/tex], of an object with mass, [tex]m[/tex], and volume, [tex]V[/tex]. Which is an equivalent equation solved for [tex]V[/tex]?

A. [tex]dm=V[/tex]

B. [tex](d)/(m)=V[/tex]

C. [tex](m)/(d)=V[/tex]

D. [tex]m-d=V[/tex]

Whole numbers are written on cards and then placed in a bag. Tyra selects a single card, writes down the number, and then places it back in the bag. She repeats this 62 times. Tyra calculates the relative frequency of each number card. Outcome 1 2 3 4 5 Relative Frequency 0.19 0.20 0.21 0.19 0.21 Which statement about Tyra's experiment is true? The outcomes do not appear to be equally likely, so a uniform probability model is a good model to represent the probabilities in Tyra's experiment. The outcomes do not appear to be equally likely, so a uniform probability model is not good model to represent the probabilities in Tyra's experiment. The outcomes appear to be equally likely, so a uniform probability model is a good model to represent the probabilities in Tyra's experiment. The outcomes appear to be equally likely, so a uniform probability model is not a good model to represent the probabilities in Tyra's experiment. will give BRAINLIEST

Answers

Answer: The outcomes appear to be equally likely, so a uniform probability model is a good model to represent the probabilities in Tyra's experiment.

Step-by-step explanation: Probability model, also known as Probability distribution, is a mathematical function that shows the probability of any outcome to occur in an experiment. When those probabilities of occurence are the same for all possible outcomes, it is a uniform probability distribution.

For example, if you roll a fair dice, the probability of having the number 1 is 1/6; for 2 is also 1/6 and etc,

In Tyra's experiment, when the calculates the frequency of each number card, the values are closer together. This means that the probability of taking a card with number 1 written on it is almost the same as taking a card with number 2 and so. In conclusion, Tyra's experiment is au uniform probability model.

The statement about Tyra's experiment is:The outcomes do not appear to be equally likely, so a uniform probability model is not a good model to represent the probabilities in Tyra's experiment.

In probability theory, a uniform probability model is one in which all outcomes in the sample space are equally likely to occur. This means that if there are n possible outcomes, the probability of each outcome is [tex]$ \frac{1}{n} $[/tex].

In Tyra's experiment, she drew a card from a bag, recorded the number, and then replaced it before drawing again. This process is repeated 62 times, and she calculates the relative frequency of each number card. The relative frequency is the ratio of the number of times a particular outcome occurs to the total number of trials.

The given relative frequencies for outcomes 1 through 5 are as follows:

Outcome 1: 0.19Outcome 2: 0.20Outcome 3: 0.21Outcome 4: 0.19Outcome 5: 0.21

If the outcomes were equally likely, we would expect the relative frequencies to be the same for all outcomes, especially after a large number of trials like 62. However, the relative frequencies vary from 0.19 to 0.21, indicating that some outcomes are occurring more frequently than others.

Since the relative frequencies are not the same for all outcomes, we can conclude that the outcomes do not appear to be equally likely. Therefore, a uniform probability model, which assumes equal likelihood for all outcomes, would not be a good fit for Tyra's experiment. Instead, the probabilities in Tyra's experiment seem to be non-uniform, and a different probability model that accounts for the varying likelihoods of the outcomes would be more appropriate.

Convert y=2/3x-17 to standard form

Answers

y = 2/3x - 17
-2/3x - 2/3x Subtract x value from both sides
-----------------------------
y - 2/3x = -17

the answer is 2x/3 - y = 17

Other Questions

Jing is faced with a decision about drinking alcohol while at a party with some friends. Which area(s) of her health could be affected by her decision?A.Physical healthB.Emotional healthC.Physical, emotional, and social healthD.Social health Gel electrophoresis separates dna fragments according to their ________. In ancient Athens, which of the following was one way in which citizens participated in the democratic process? A. Citizens could serve as advisors to the president. B. Citizens elected representatives who then decided on laws. C. Citizens who spent the most money would receive the most power. D. Citizens served on juries to decide court cases Write a python function that on input takes a list l of integers and returns the count of how many of the integers in the list are even. I need the answer for B! whoever answers first will get a brainliest, a thanks, and 50 points! also plz tell me how you got the answer Read the text below and answer the following question:"Camp-meeting with thy presence crown, And show't O Lord, they blessings down; Fill every head with holy zeal, And all thy righteousness reveal, O'er all our hosts do thou preside, And all our various movements guide; The praying companies attend, And show thyself the sinner's friend."This text from a revival hymn of 1830 best captures which element of the Second Great Awakening?A. The enthusiasm of religious conversionsB. The key role anti-slavery activities played in evangelismC. The belief that social reform required direct work with sin and sinnersD.The idea of the importance of temperance reform Which expression is equivalent to (x^1/2y^16)^1/2 explain how the united states and the soviet union used nuclear weapons as a form of deterrence what popular form of entertainment drew from the immigration experience. This ____ the most innovative product our company has ever released. a.)maybe b.)may be What number belongs in the blank space in the formula?? Can someone plz explain Pythagoras theorem to me Read the following lines of dialogue spoken by Grandma Sands in Chapter 12 of The Watsons Go to Birmingham1963 Lona, things are different from what they were when you left. Nearly everything changes. Your daddys been gone for almost twenty years . . . Now Mr. Roberts is my dearest friend.What do these lines most likely reveal about Grandma Sands? A.She misses her first husband. B.She has moved forward with her life. C.She intends to marry Mr. Roberts.D.She is afraid of the changes occurring in the South. An urn contains six red balls, five black balls, and four green balls. If two balls are selected at random without replacement from the urn, what is the probability that a red ball and a black ball will be selected. Please explain how to do it A rectangle has vertices A ( 1, 2) B (1, 7), C ( 4,7) and D (4, 2). What is the area of the rectangle What is the result of mutation during meiosisA- it organism will not be able to form some organsB- The organism will not be able to live C-The offspring of the organism will have a mutation D- there will be silent mutations that will have no effect Which of the functions below is the inverse of the logarithm function? Linear function Exponential functionRational function Radical function Why does increased global movement of people increase the risk for pandemic flu? A-It decreases the population densities of urban areas. B-It increases the transmission of flu between countries.C- It decreases the responsiveness of national government.D- It increases the evolution of treatment resistant flu virus. Jan is saving for a skateboard. She has saved $30 already, which is 20% of the total price. How much does the skateboard cost Read the passage.excerpt from "Marie Curie and the Discovery of Radioactivity" by Mara RockliffTo the Austrian mine owners who had sent the pitchblende ore, it was just dirt. After all, they had already taken out the valuable partthe metallic element called uraniumand dumped what was left over in a nearby pine forest. If a pair of eccentric French scientists wanted them to scoop up the worthless stuff and ship it, the mine owners were happy to oblige.But Marie and Pierre Curie knew the secret of the dull brown ore. Hidden deep within it was a new chemical element. No one, the Curies included, had ever seen this element. Still, the husband-and-wife team had given it a name: radium. And Marie was determined to prove radium was real.It could be inferred that the word eccentric in the text means "odd."Which context clue best helps confirm this meaning of the word eccentric?A. "scientists wanted them to scoop up the worthless stuff and ship it"B. "deep within it was a new chemical element"C. "After all, they had already taken out the valuable partcalled uranium"D. "No onehad ever seen this element"