Assuming you are asking for the monthly principal and interest payment for the loan, it would be:
$1,021.76.
The calculation for the monthly mortgage payment is as follows:
P = (r * (1 + r)^n) / [(1 + r)^n - 1] * A
P = Monthly Payment
r = Monthly Interest Rate (6.5%/12 = 0.00542)
n = Number of Months (30 x 12 = 360)
A = Loan Amount (218,500 - (218,500 x 0.035 = 7,645) = 210,855)
Therefore, the monthly payment would be:
P = (0.00542 * (1 + 0.00542)^360) / [(1 + 0.00542)^360 - 1] * 210,855
P = $1,021.76
Where can I find compound interest?When calculating compound interest, the starting principle amount is multiplied by one along with the annual interest rate raised to the number of compound periods minus one. The resulting value is then reduced by the full initial loan amount. Investopedia, 2019. Katie Kerpel, "Copyright."
How is compound interest demonstrated?For instance, after a year, if you deposited $1,000 in an account with 1% yearly interest, you would have received $10 in interest. Compound interest allows you to earn 1% on $1,010 in Year Two (principal plus interest), which translates to $10.10 in interest payments for the year.
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H(t)= 50- t/5
H(35)=
Please explain it
The value of the function H(t) = 50 - t / 5 at t = 35 will be 43.
What is a function?A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.
The function is given below.
H(t) = 50 - t / 5
At t = 35, the value of the function will be given as,
H(35) = 50 - 35 / 5
H(35) = 50 - 7
H(35) = 43
The value of the function H(t) = 50 - t / 5 at t = 35 will be 43.
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There are about 2.54 centimeters in 1 inch. if a segment is 2.7 centimeters long, how many inches is it, rounded to the nearest hundredth?
The number of inches of a segment is 1.06 inches if a segment is 2.7 centimeters long.
What is meant by line segment?In geometry, a line segment is a portion of a straight line that is bounded by two distinct end points and includes all of the points on the line that fall inside those endpoints. A line segment's length is determined by the Euclidean distance between its endpoints.
In geometry, a line segment is a portion of a straight line that is bounded by two distinct end points and includes all of the points on the line that fall inside those endpoints. A line segment's length is determined by the Euclidean distance between its endpoints.
Given,
In 1 inch there are about 2.54centimeters
And the segment is 2.7 centimeters long
The number of inches=?
2.7/2.54=1.0629
When it is rounded to the nearest 100, we get
1.06 inches.
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How do you dilate an image with a scale factor?
To dilate an image with a scale factor, multiply the scale factor with the dimensions of the image
The dilation is the process of changing the size of the given shape or figure ,the shape of the figure will be always same. Therefore dilation is one form transformation of shapes
The scale factor is the ratio of the measurement of the new shape to the measurement of the original shape.
We can use the scale factor for the dilation
To get the dilate and image with scale factor, we have to multiply the scale factor with the measurement of the original shape
The equation will be
The dimension after dilation = scale factor × original dimensions
Therefore, to dilate an image, multiply the scale factor and the original dimensions
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1) x-2y=15
2) x-3=4y
A) rearrange equation (2) to make x the ubject
B) uing your anwer to part a) olve the imultaneou equation uing ubtitution
x= -9 and y= -3
What is equation?
A mathematical statement that has a "equal to" symbol between two expressions with equal values is called an equation. as in 3x + 5 Equals 15, for instance. Equations come in a variety of forms, including linear, quadratic, cubic, and others. In this tutorial, let's study more about math equations.
A) rearranging equation (2) to make x the subject
[tex]x-3=4y\\x-4y=3[/tex]
Also,
[tex]4y=x-3\\y=(x-3)/4[/tex]
by subtitution method
putting this value of y in equation 1)
[tex]x-2((x-3)/4)=15\\\\x-2x+6=15\\x=-9\\y=(-9-3)/4\\y=-3[/tex]
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a certain star is 3.6 x 10^2 light years from the earth. one light year is about 5.9 x 10^12 miles how far from the earth in miles is the star
The earth is 21.24 x 10¹⁴ miles far from the star.
What are the light years?
A light-year is a significant length measure that is used to express astronomical distances. It is around 9.46 trillion kilometers, or 5.88 trillion miles, in length.
We have given,
1 light year = 5.9 x 10¹² miles
Distance of the star = 3.6 x 10² light years
To get this we just convert the distance of the star in light years into miles.
3.6 x 10² light years x( 5.9 x 10¹² miles/1 light years)
We cancel out the lightyears and then we are left with:
3.6 x 10² light years x 5.9 x 10¹² miles
In dealing with scientific notation, when we multiply them we can treat the coefficients and exponents of 10 separately.
Coefficients:
3.6 x 5.9 = 21.24
Exponents of 10:
10² x 10¹² = 10⁽²⁺¹²⁾ = 10¹⁴
Then we combine them again to form:
21.24 x 10¹⁴ miles
Hence, the earth is 21.24 x 10¹⁴ miles far from the star.
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9(-2)
Help I don't get it :'(
So, let's think about what it's asking
it next to the parentheses means to distribute, or multiply into.
Multiply 9 * -2
A negative times a positive is a negative.
9 * 2 = 9 + 9 = 18
Make the final answer negative because its a positive and a negative multiplied. A positive and a positive multiplied gives you a positive. A negative and a negative multiplied gives you a positive too.
-18
a school show had ticket sales of $1345 the first night and $935 the second night. 180 student tickets were sold and 110 adult tickets were sold on the first night. 100 student tickets were sold and 90 adult tickets were sold. find the price of a student ticket.: * a) $5.75 b) $8.75 c) $6.50 d) $3.50 e) $7.50
A school show had sold the ticket sales of first and second nights. The price of a student ticket is $3.54, a So, the correct answer is option (d).
Total sale on tickets at the first night = $1345
Total sale on tickets at the second night = $935
Let the price of student ticket and adult ticket in school show be "$x" and "$y" respectively. According to problem,
On first night total sale,
180x + 110y = $1345 --(1)
On Second night total sale,
100x + 90y = $935 --(2)
we have to determine the price of student ticket i.e x and price of adult ticket i.e y .. We have a system of linear equation which consists two equations (1) and (2) . Now, we solve these equations using Substitution method,
From equation (2), 100x = 935 - 90y
=> x = (935 - 90y )/100 --(*)
Substitute the value of x in equation (1) 180x + 110y = $1345
=> 180(935 - 90y )/100 + 110y = 1345
Simplify ..
=> 168120 - 16200y + 11000y = 134500
=> 168120 - 134500 = 16200y - 11000y
=> 33620 = 5200y
=> y = 33620/5200
=> y = 6.46
put the value of y in equation (*) we get,
x = (935 - 90× 6.46)/100 = 3.536
Hence, the value of x is $3.536 and value of y is $6.46..
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What is the slope of the line that passes through the points (2, -4) and (5, 2)? Write
your answer in simplest form.
Answer:
used formula
Step-by-step explanation:
y-y1=m(x-x1)
Pedro has a balance of $5810 on a credit card with an APR of 16.2%. Paying
off his balance in which of these lengths of time will result in him paying the
least amount of interest?
O 1 Month
2 Months
3 Months
4 Months
The least amount of interest, if Pedro has a balance of $5810 on a credit card with an APR of 16.2%, is $78.345 for one month, so option A is correct.
What is interest?When the loan is given to you, then some amount is charged to you for the principal amount and that is called interest.
Given:
Pedro has a balance of $5810 on a credit card with an APR of 16.2%,
Calculate the simple interest for one month as shown below,
[tex]SI = P \times r \times t / 100[/tex]
SI = 5810 × 16. 2 × 1 / (12 ×100) [time in year = 1 / 12]
SI = $78.345
SI = 5810 × 16. 2 × 2 / (12 ×100) [For 2 months]
SI = $156.87
Therefore, the least amount of interest, if Pedro has a balance of $5810 on a credit card with an APR of 16.2%, is $78.345 for one month.
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There are about 2.54 centimeters in 1 inch. if a segment is 2.7 centimeters long, how many inches is it, rounded to the nearest hundredth?
The number of inches made by a segment of 2.7 centimeters long, where 1 inch is 2.54 centimeters is 236 inches.
What is the symbol for an inch?Please also notice that the sign for inches is the double prime ("), not the double quotation mark, the straight quotation mark, or even (gasp!) the two consecutive single quotation marks (").
What exactly is 1 inch?The inch was defined as "three dry, spherical grains of barley set end to end lengthwise" during the early 14th century under King Edward II. The lengths of 12 poppy seeds together have also been used at various periods to define one inch. Since 1959, 2.54 cm has been the official definition of an inch.
From the above definition, we get that
The number of inches made by a segment of 2.7 centimeters long, where 1 inch is 2.54 centimeters is 236 inches.
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Which function is used to calculate maximum value?
Derivatives is used to calculate the maximum value of a function.
We will set the first derivative of the function to zero and solve for x to get the critical point. If we take the second derivative or f''(x), then we can find out whether this point will be a maximum or minimum. If the second derivative is positive, it will be a minimum value.
Derivatives
The rate of change of a function with respect to a variable. Derivatives are fundamental to the solution of problems in calculus and differential equations.
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Help with question 3
Answer:
3.75
Step-by-step explanation:
I BELIVE YOUR ANSWER IS 3.75
Answer:
3.75
Step-by-step explanation:
1. In the figure below, segments LJ and A F are perpendicular. What is the value of x+y?
2. In the figure below, LJ is perpendicular-bisector of A F. What is the value of m + n?
1) The value of the expression x + y is; 30
2) The value of the expression m + n is; 16
How to solve Algebraic Expressions?1) We are told that segments LJ and A F are perpendicular. This means that; 4x + 50 = 90 and 7y - 50 = 90
Let us solve for x and y;
4x + 50 = 90
4x = 90 - 50
4x = 40
x = 10
Similarly;
7y - 50 = 90
7y = 90 + 50
7y = 140
y = 140/7
y = 20
Thus;
x + y = 10 + 20
x + y = 30
2) We are told that LJ is a perpendicular-bisector of A F. Thus;
AJ = FJ and AL = FL
Thus;
FL = AL gives;
3m = 42
m = 42/3
m = 14
Similarly;
2m + 3n = 34
2(14) + 3n = 34
28 + 3n = 34
3n = 6
n = 2
m + n = 14 + 2 = 16
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Which equation repreent the line that pae through the point (2, -8) and (-3, 2)?
The Equation represent the line that passes through the points (2, -8) and (-3, 2) is 2x + y + 4 = 0
Two point form is one of the important forms used to represent a straight line algebraically. The equation of a line represents each and every point on the line, i.e., it is satisfied by each point on the line.
The two point formula is used to represent a line algebraically using the coordinates of two points that lie on that line. The formula for two point form can be given as:
(y - y1) = m(x-x1) -----------(1)
where , m is slope of line given by => y2-y1/ x2 - x1
(x, y) is an arbitrary point on the line.
(x1, y1) and (x2 , y2) are coordinates of points lying on the line.
According to the question,
The required line passes through (2,-8) and (-3,2)
Slope : m = 2 - (-8) / -3 -2
=> m = 2+8/-5
=> m = 10/-5
=> m = -2
Substituting the values in equation (1)
(y - (-8)) = -2(x-2)
Solving,
=> y + 8 = -2x + 4
=> 2x + y + 4 = 0 is required equation of line
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PLEASE HELP MEEEEEEE, GIVING 30 POINTS IF YOU SOLVE (MY THRID TIME REPOSTING THIS)
A rental car company charges $40.50 per day to rent a car and $0.15 for every mile driven. Elizabeth wants to rent a car, knowing that:
She plans to drive 125 miles.
She has at most $210 to spend.
Write and solve an inequality which can be used to determine x, the number of days Elizabeth can afford to rent while staying within her budget.
Answer: 4 days, more below
Step-by-step explanation:
40.50x + 0.15y < 210
(0.15)(125)=18.75
40.50x + 18.75 < 210
40.50x < 191.25
x < 4.7222222...
She can afford to rent the car for 4 days if she drives 125 miles and has 210$ to spend.
30.9 divided by 100
PLEASE I NEED HELP ASAP
Answer:
0.309
Step-by-step explanation:
Why is area in square units?
The number of unit squares needed to completely cover a shape is its area. As a result, it is expressed and measured in square units.
The word "area" refers to a free space. The area of a thing is the amount of space it occupies in two dimensions. A closed figure's surface area is calculated by counting how many unit squares completely encircle the surface. The square unit is frequently expressed as square inches, square feet, etc., and is the accepted unit of area.
Consider, there are several squares with sides that are 1 unit by 1 unit wide in the grid. The surface area of each square is one square unit. Each square is a unit square. As a result, the area is stated and measured in square units.
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I need help with question number 10 the question says Ash has 61 toothpicks but do I keep increasing by 1 until I get 61?
The largest figure that Ash can built with 61 toothpicks is of:
A composition of 12 hexagons.
How to obtain the largest figure?The number of toothpicks needed is modeled with a linear function, defined as follows:
y = mx + b.
The coefficients of the function are given as follows:
m is the slope, representing the number of toothpicks per new figure.b is the y-intercept, representing the number of toothpicks of the first figure.The number of toothpicks in each figure is represented by the following sequence:
(6, 11, 16, ...).
Hence the parameters are given as follows:
m = 5, b = 6.
Thus the definition of the function is of:
T(n) = 5(n - 1) + 6. (as the first figure is with n = 1).
T(n) = 5n + 1.
Then the number of hexagons with 61 toothpicks is obtained as follows:
5n + 1 = 61
5n = 60
n = 60/5
n = 12 hexagons.
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c(1) = -20
c(n) = c(n − 1) + 10
Find the 2nd term in the sequence.
Answer:
-10
Step-by-step explanation:
So we are going to find c(2)
c(2)=c(1)+10
c(2)=-20+10
c(2)=-10
How do you solve an equation with 2 answers?
The quadratic formula x = [-b (b2 - 4ac)] / 2a] provides the solutions to the quadratic equation ax2 + bx + c = 0. (2a).
Given,
Equation with two answers are quadratic equations.
Quadratic equation;
The polynomial equations of degree two in one variable of type f(x) = ax2 + bx + c = 0 and with a, b, c, and R R and a 0 are known as quadratic equations. It is a quadratic equation in its general form, where "a" stands for the leading coefficient and "c" for the absolute term of f. (x).
The solution for quadratic equation;
The quadratic formula x = [-b (b2 - 4ac)] / 2a]gives the solutions to the quadratic equation ax2 + bx + c = 0. (2a). Get the problem into standard form, ax2 + bx + c = 0, and then use the quadratic formula to solve the quadratic equation.
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Write an equation in slope-intercept form of the line.
(Use integers or fractions for any numbers in the equation.)
Answer:
[tex]y=-\frac{1}{2} x+5[/tex]
Which president proposed the creation of the Environmental Protection Agency ?
President Richard Nixon proposed the creation of The Environmental Protection Agency (EPA).
What is the Environmental Protection Agency?
The Environmental Protection Agency is an independent government agency of the United States, which was considered mandatory by the government for environmental issues.
The Agency followed a series of measures to improve air quality, decrease greenhouse gas emissions, forbid water pollution, and invest in oil spill control measures.
The EPA had many obligations in the United States, two of which were to set industry standards to reduce their impact on the environment and investigate air pollution.
How did the EPA launch?
The operation of the agency began on December 2, 1970, after President Nixon had signed an executive order. The order established by the EPA was made official by signing by the committee hearings in the House and Senate.
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to calculate the expected risk premium on a stock, one must subtract the ________ from the stock’s expected return.
To calculate the expected risk premium on a stock, one must subtract the Inflation rate from the stock’s expected return.
How to complete the blank in the statement?From the question, we have the following parameters that can be used in our computation:
Expected risk premiumStock's expected returnMathematically, the relationship between the expected risk premium and the stock's expected return is represented as follows
Expected risk premium = Stock's expected return - Inflation rate
This means that the Inflation rate must be subtracted from the stock’s expected return to calculate the expected risk premium
Hence, the statement that completes the blank is Inflation rate.
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Select all the correct answers.
A pharmaceutical company claims that regular consumption of its new children's vitamin Increases the average number of hours that a
child sleeps each night. To test this claim, a researcher decided to conduct an experiment. The researcher randomly selected
500 children, grouped by age. Over the course of a year, half of the children received the children's vitamin and half of the children
received a placebo. At the end of the year, the researcher compared the average number of hours that the children in each group slept
each night.
Which statements about this study are true?
This study uses random sampling.
This study uses blinding.
This study uses blocking.
This study uses a repeated measures design.
This study uses a control group.
The statements that are true concerning the study that was carried out by the pharmaceutical company include the following: This study uses random sampling, This study uses blinding and This study uses a control group. That is option A, B and E.
What is a pharmaceutical company?A pharmaceutical company is defined as the company that has been certified to manufacture and distribute drugs such as the children's vitamin.
While selecting sample for the study, it was stated that 500 children grouped by age was randomly selected.
Out of the total samples, 250 was given the vitamin while the remaining half was given a placebo ( a blind) which would serve as concealment of the group allocation from them as they are serving as the control.
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Answer:
A,B,C,
Step-by-step explanation:
PLATO
I need help pleaseee
Answer: 1/10th
Step-by-step explanation:
20 different lengths, 2 are 21.5 = 2/20 reduce to 1/10 so 10%
What is the measure of one of the central angles in the regular Pentagon What is the measure of one of the congruent base angles in triangle ABC?
The measure of one of the central angles of a regular pentagon is 72° .
In the question ,
a regular pentagon is given ,
we have to find the measure of one of central angle ,
we know that a pentagon has 5 equal sides .
and the sum of the central angles is 360° .
it is given that the pentagon is regular , So , all the central angles are equal in measure .
The central angle can be calculated using the formula ,
central angle = 360°/n , where n is number of sides .
substituting the value of number of sides as = 5 ,
we get ,
central angle = 360°/5 = 72° .
Therefore , the central angle is = 72° .
The given question is incomplete , the complete question is
What is the measure of one of the central angles in the regular Pentagon ?
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How do you split a sentence into two simple sentences?
To split a sentence into two simple sentences, first, highlight the clauses while dividing sentences. When necessary, add subjects or other words in place of subordinating liners to make sub-clauses autonomous.
In the given question we have to explain how we split a sentence into two simple sentences.
As we know that;
A basic sentence typically consists of a subject, a verb, and maybe an object and modifiers. It only has one independent clause, though. Here are a few illustrations: She composed.
First, highlight the clauses while dividing sentences. When necessary, add subjects or other words in place of subordinating liners to make sub-clauses autonomous.
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Solve for ttt:
-18 = -3t−18=−3t
Answer: 4z
Step-by-step explanation:
Which graph represents y=^3square root x
You plug your phone in to charge. After 10 mins your phone is at 30%. If your phone is charging at a rate of 5% every 2 minutes, write an equation in point slope form representing the battery percent,y, after x minutes.
y-5=3(x-2) is the equation in point slope form representing the battery percent, y, after x minutes.
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
After 10 mins your phone is at 30%.
If your phone is charging at a rate of 5% every 2 minutes,
4 minutes=10%
6 minutes=15%
8 minutes=20%
10 minutes=25 %
The equation of point slope form.
y-5=3(x-2)
Hence, y-5=3(x-2) is the equation in point slope form representing the battery percent, y, after x minutes.
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