Laura and Martin obtain a 20-year, $170,000 conventional mortgage at 8.5% on a house selling for $190,000. Their monthly mortgage payment, including principal and
interest, is $1475.60.
a) Determine the total amount they will pay for their house.
b) How much of the cost will be interest?
c) How much of the first payment on the mortgage is applied to the principal?

Answer:

r = 24.3/π  m

r = 7.73 m

Step-by-step explanation:

C = 2πr

48.6 m = 2 × π × r

r = 48.6/(2π)  m

r = 24.3/π  m

r = 7.73 m

Jack's problems illustrates algebraic expressions

The given parameters are:

The number of questions solved per day is calculated as:

Daily = Days/Problems

So, we have:

Daily = m/5

We have:

Daily = m/5

He solved 15 daily.

So, the equation becomes

m/5 = 15

Multiply both sides by 15

m = 75

Hence, 75 questions were assigned in total

Read more about expressions at:

https://brainly.com/question/723406

The worth of the old scanner machine in the open market will be $86601.60.

To calculate the worth of the scanner on the open market, it's important to compare the values of the machines.

The calculation of the worth of the scanner goes thus:

Let the worth be represented by x.

x(A/P,10%, 3) - 350000 + 150000(A/F, 10%, 3) = 2000000(A/P, 10%, 3) + 270000 + 875000(A/F, 10%, 3)

= 0.4021x - 350000 + 45315 = -804200 + 270000 + 264337.50

0.4021x = 34822.50

Divide by 0.4021

x = 34822.60/0.4021

x = 86601.60

Therefore, the worth is $86601.60.

Learn more about open market on:

https://brainly.com/question/1426204

Answer:

A

Step-by-step explanation:

Find the number of bottles in 5 cases:

5 × 12 = 60

Find the number of liters in 60 bottles:

60 × 3 = 180

180 liters of laundry detergent

Answer:

48%

Step-by-step explanation:

P (not getting a speckled rock) = 12/18 = 2/3

P (not getting a green rock) = 13/18

2/3 * 13/18 = 26/54 = 13/27 ≈ 48%

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Let's check I the given pairs of triangles are congruent or not ~

[tex]\qquad \sf  \dashrightarrow \:ABC \cong FED[/tex]

These triangles are congruent by SSS congruency, as it's three sides are equal.

・ ．━━━━━━━†━━━━━━━━━．・

[tex]\qquad \sf  \dashrightarrow \:LMN \not \cong PQO[/tex]

・ ．━━━━━━━†━━━━━━━━━．・

These triangles are not congruent because they don't fulfill any congruency criteria.

[tex]\qquad \sf  \dashrightarrow \: XVW \cong YZA [/tex]

These triangles are congruent by AAS congruency criteria, since two angles and one of the side is common.

・ ．━━━━━━━†━━━━━━━━━．・

[tex]\qquad \sf  \dashrightarrow \: GHI \not \cong IJG [/tex]

These triangles are not congruent because they don't fulfill any criteria.

・ ．━━━━━━━†━━━━━━━━━．・

[tex]\qquad \sf  \dashrightarrow \: PQR\cong QPO[/tex]

These triangles are congruent by SSS congruency, as it's two sides are equal and one side is common.

・ ．━━━━━━━†━━━━━━━━━．・

[tex]\qquad \sf  \dashrightarrow \: JIK \cong HIG [/tex]

These triangles are congruent by SAS congruency, since two sides and Angle between them are equal.

・ ．━━━━━━━†━━━━━━━━━．・

These given triangles are congruent by SSS congruency, because they have two equal sides and one common side in there.

・ ．━━━━━━━†━━━━━━━━━．・

[tex]\qquad \sf  \dashrightarrow \: BCD \cong FED [/tex]

These triangles are congruent by ASA congruency, because they have one pair equal angles, one pair of vertical opposite angles (they are equal) and a side between them equal.

・ ．━━━━━━━†━━━━━━━━━．・

[tex]\qquad \sf  \dashrightarrow \: LKM \cong LNM [/tex]

These given triangles are congruent by SSS congruency, because they have two equal sides and one common side in there.

➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖

Answer:

Option D

Step-by-step explanation:

Given the following question:

[tex](7^5)^3[/tex]

To find the answer we simply have to apply the exponent rule and multiply the exponents.

[tex](7^5)^3[/tex]
[tex](a^b)^c=a^{bc}[/tex]
[tex]5\times3=15[/tex]
[tex]=7^{15}[/tex]

Your answer is "7^15" or option D.

Hope this helps.

Answer:

7^15

Step-by-step explanation:

We know that a^b^c = a^(b*c)

7^5^3

7^(5*3)

7^15

Answer:

The degree of the polynomial [tex]-3x^{6}+2x^{3} +x^{7} +5[/tex] is 7

Step-by-step explanation:

The degree of a polynomial is the largest power a variable is taken to in an expression. Since the largest exponent in this polynomial is 7, that is the degree of the polynomial.

Answer:

7

Step-by-step explanation:

The degree of a polynomial is the highest exponent in a polynomial.

Standard Form

To find the degree, it is easiest to first write the polynomial in standard form. Standard form is when the terms' exponents are written from greatest to least.

Degree

From the standard form, it is obvious that the degree is 7. Any time the polynomial is written in standard form, the first term's exponent will be the degree of the whole polynomial.

Answer:

e

Step-by-step explanation:

e

Step-by-step explanation:

Pythagoras theorem

16²=7²+a²

a²=16²-7²

a²= 256 -49

a²=207

a=√207

a=14.38

a≈14.4 in. (approx)

Answer:

Step-by-step explanation:

As it is a right angle triangle, we can use Pythagorean theorem to find a

base² + altitude² = hypotenuse²

7² + a² = 16²

49 + a² = 256

       a² = 256 - 49

       a² = 207

     a = √207

a = 14.4 in

Answer:

6

Step-by-step explanation:

to find the perimeter of a trapezoid you add all the sides together

therefore we do it backwards

24-3-6-9=6

Solution :-

We know that perimeter is the sum of all sides, and here we have been provided with perimeter and the length of three sides. Now, we can assume the length of other side as any variable, say x. And develop a linear equation, and solve it. Thus,

A/Q,

→ 3yd + 6yd + 9yd + x = 24yd

→ 18yd + x = 24yd

→ x = 24yd - 18yd

→ x = 6yd

Thus, the length of the fourth side is 6yd.

Hope that helps :)

Answer:

no sure about the answer

Answer:

7.5 inches

peeeee

Answer:The function that represents an exponential function is the 4th graph and it can be modeled as y = aeᵇˣ.

What are exponential functions?

The exponential functions are written in the form of y = aeᵇˣ, where the output y increases exponentially for the input x.

In order to find the graph that represents an exponential function, we will discuss each of the following graphs,

For the 1st graph, (Black),

In the first graph, the graph is of a parabola, and the function which represents this kind of graph is a quadratic equation, therefore, this graph represents a parabolic equation. It is given by the function,

y=ax²+bx+c or y=a(x-h)²+k

For the 2nd graph, (Red),

In the second graph, the graph represented is the graph of a reciprocal function, the function that can be represented by the graph,

y=a/x + b

For the 3rd graph, (Blue),

In the third graph, the graph represented is the graph of root function, it can be modeled as,

y = a+√(x+b)

For the 4th graph, (Green),

In the fourth graph, the graph represented is the graph of an exponential function, and it can be modeled as,

y = aeᵇˣ

Hence, the function that represents an exponential function is the 4th graph and it can be modeled as y = aeᵇˣ.

Step-by-step explanation:

Answer:

Step-by-step explanation:

The given properties of one pair of parallel sides in the four sided

quadrilateral, indicates that the shape is a trapezium.

Response:

The area of the shape is 35 square unit

Area of trapezoid

Answer:

ba/2+bd/2+cd, in this case the area is 46

Step-by-step explanation:

The formula for this would simply be the area of the trapazoid plus the area of the rectangle.

The area of a trapazoid(in this case) is b(a+d)/2

The area of the rectangle is cd

Adding these you get ba/2+bd/2+cd

In this case the area is 46

Answer:

Hope the picture will help you.Make sure to mark me brilliant

Answer:

x = 8

Step-by-step explanation:

The mean is the average of the population.

Multiplying the mean by 8 terms will get you the total sum.

12 * 8 = 96

Subtracting all the values from the total sum should get you x.

96 - 18 - 15 - 18 - 3 - 3 - 19 - 12 = 8

Answer:

The stament is false. Although the government deos fund research, most of the funding for research is from corporations

Step-by-step explanation:

I am sorry if it's wrong but I think that's the correct answer but read this first

Most research funding comes from two major sources, corporations (through research and development departments) and government (primarily carried out through universities and specialized government agencies; often known as research councils).

State and Local Taxes

1. Higher-income individuals are more likely to afford their standard of living and can afford to pay more in taxes.

2. Yes, 32 of the 41 states that tax wages use a graduated scale for the individual income tax.

3. sales tax, meals tax, hotels tax, excise tax, and tolls

4. federal payroll tax

5. A levy paid to a local government by a landowner, a homeowner, or a business that owns real estate.

100% if you put these answers.

Answer

answer is 19

Step-by-step explanation:

hope it's help

Answer:

I don't think that is possible because absolute value cant equal negative number, symbol would be ∅ if that is true

Step-by-step explanation:

i don't have one

Answer:

The angle B = 70°

Step-by-step explanation:

The sum of angles of a triangle is 180°

=> 40°+(2x-30)°+(x+20)° = 180°

=> 40°+2x°-30°+x°+20° = 180°

=> 30°+3x= 180°

=> 3x = 180°-30°

=> 3x = 150°

=> x = 150/3

=> x = 50°

So,the value of x = 50°

now , angle B = (2x-30) = (2×50 -30 ) = (100-30) = 70°

Answer:

a bit of a room for the television and then we you too I am really sorry for the television and then we you too I love you too I will be there in about you guys see you tomorrow at 7 in the middle to buy a house in the middle of the night guys see you tomorrow at 7 in the middle of the night

Answer: First train speed shall be 42 mi/hr

Second train speed shall be 84 mi/hr

Yes it is the valid answer, it gets annoying when almost everyone enters the wrong answer for a good laugh. Either way, hope this helps! Have a spectacular day.

Step-by-step explanation:

What is the 1st train's head start in miles?

Let +s+ = the speed of the 1st train in mi/hr

From 2PM to 4PM is 2 hrs

+d%5B1%5D+=+s%2A2+

---------------------

Let +d+ = distance the 2nd train travels until

it overtakes the 1st train

From 4PM to 6PM is 2 hrs

Start time when the 2nd train leaves

---------------------

Equation for 1st train:

(1) +d+-+2s+=+s%2A2+

Equation for 2nd train:

(2) +d+=+%28+s%2B42+%29%2A2+

--------------------

Substitute (2) into (1)

(1) +%28+s%2B42+%29%2A2+-+2s+=+s%2A2+

(1) +2s+%2B+84+-+2s+=+2s+

(1) +2s+=+84+

(1) +s+=+42+

and

+s%2B+42+=+42+%2B+42+

+s+%2B+42+=+84+

------------------

The 1st train's speed is 42 mi/hr

The 2nd train's speed is 84 mi/hr

---------------------------

check:

(2) +d+=+%28+s%2B42+%29%2A2+

(2) +d+=84%2A2+

(2) +d+=+168+

and

(1) +d+-+2s+=+s%2A2+

(1) +d+-+2%2A42+=+42%2A2+

(1) +d+=+84+%2B+84+

(1) +d+=+168+

Answer:

A?

Step-by-step explanation:

I honestly am guessing here but i think its A take my answer with a grain of salt

Answer:

False.

Step-by-step explanation:

y+9=0

y=-9

hope you have a good day/night! :)

Answer:

40; 0.1 and 0.16

Step-by-step explanation:

a. We know that p(w)=230(1.1)^W represents the number of specialty items produced at the old factory.

This equation is in the form of an exponential growth function:

f(x)=a(1+r)^x

where a is the initial value, r is the growth rate, and x is the number of time intervals.

That means that for p(w)=230(1.1)^W:

230 is the initial value, and 0.1 is the growth rate. (1.1-1)

Therefore, for week 0, there were 230 specialty items produced at the old factory.

We can also plug in 0 for w (0 time intervals) to get the same answer

That would look like:

p(0)=230(1.1)^0

p(0)=230(1)

p(0)=230

On the other hand, for the new factory, if you go find 0 on the x-axis, you'll notice that 190 specialty items were produced in week 0.

230-190=40

This means that our answer for a is that 40 more specialty items were produced at the old factory than the new factory.

_____

b. Our first step for this question would be to find the equation for the graph.

We can immediately recognize that this is an exponential growth function, similar to the other equation.

As a reminder, exponential growth functions are in the form: f(x)=a(1+r)^x

We can put it in terms of production and weeks:

p(w)=a(1+r)^w

We know that the initial value is 190 by the graph.

p(w)=190(1+r)^w

Now we just need to find the growth rate:

We can do this by choosing a value (other than the first point) and plugging it in.  Let's use (1, 220) which is in the form (w, p)

Plug it in to the equation:

220=190(1+r)^1

220=190(1+r)

Distribute

220=190+190r

Subtract 190 from both sides

30=190r

Divide 190 from both sides

r=0.1578947368 (round how your teacher asks)

Next, all we have to do is find the growth rate for the old factory:

p(w)=230(1.1)^W

1.1=1+r

Therefore, r=0.1

The growth rate at the old factory is 0.1.

When comparing them, we'll realize that the growth rate at the new factory is about 0.06 higher.

#1

For old factory

So

[tex]\\ \rm\dashrightarrow p(0)=230(1.1)^0=230(1)=230[/tex]

For nEW factory

Difference:-

40 items were more produced

#2

For old factory

[tex]\\ \rm\dashrightarrow 230(1+0.1)^t[/tex]

For new factory

Find slope:-

[tex]\\ \rm\dashrightarrow m=\dfrac{220-190}{1}=30[/tex]

Find growth rate

New factory has greater growth rate

==========================================================

Let's simplify the expression:-

[tex]\bigstar{\boxed{\frac{3}{1} *\frac{1}{2}}[/tex]

Multiply 3 times 1 and 1 times 2:-

[tex]\bigstar{\boxed{\pmb{\frac{3}{2} }}[/tex]

======================================================

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

Answer:

-1

Step-by-step explanation:

-b+10b+2b+17=6

9b+2b+17=6

11b+17=6

11b=6-17

11b=-11

b=-1