Answer:
The mortgage chosen is option A;
15-year mortgage term with a 3% interest rate because it has the lowest total amount paid over the loan term of $270,470
Step-by-step explanation:
The details of the home purchase are;
The price of the home = $275,000
The mode of purchase of the home = Mortgage
The percentage of the loan amount payed as down payment = 20%
The amount used as down payment for the loan = $55,000
The principal of the mortgage borrowed, P = The price of the house - The down payment
∴ P = $275,000 - 20/100 × $275,000 = $275,000 - $55,000 = $220,000
The principal of the mortgage, P = $220,000
The formula for the total amount paid which is the cost of the loan is given as follows;
[tex]Outstanding \ Loan \ Balance = \dfrac{P \cdot \left[\left(1+\dfrac{r}{12} \right)^n - \left(1+\dfrac{r}{12} \right)^m \right] }{1 - \left(1+\dfrac{r}{12} \right)^n }[/tex]
The formula for monthly payment on a mortgage, 'M', is given as follows;
[tex]M = \dfrac{P \cdot \left(\dfrac{r}{12} \right) \cdot \left(1+\dfrac{r}{12} \right)^n }{\left(1+\dfrac{r}{12} \right)^n - 1}[/tex]
A. When the mortgage term, t = 15-years,
The interest rate, r = 3%
The number of months over which the loan is payed, n = 12·t
∴ n = 12 months/year × 15 years = 180 months
n = 180 months
The monthly payment, 'M', is given as follows;
M =
The total amount paid over the loan term = Cost of the mortgage
Therefore, we have;
220,000*0.05/12*((1 + 0.05/12)^360/( (1 + 0.05/12)^(360) - 1)
[tex]M = \dfrac{220,000 \cdot \left(\dfrac{0.03}{12} \right) \cdot \left(1+\dfrac{0.03}{12} \right)^{180} }{\left(1+\dfrac{0.03}{12} \right)^{180} - 1} \approx 1,519.28[/tex]
The minimum monthly payment for the loan, M ≈ $1,519.28
The total amount paid over loan term, A = n × M
∴ A ≈ 180 × $1,519.28 = $273,470
The total amount paid over loan term, A ≈ $270,470
B. When t = 20 year and r = 6%, we have;
n = 12 × 20 = 240
[tex]\therefore M = \dfrac{220,000 \cdot \left(\dfrac{0.06}{12} \right) \cdot \left(1+\dfrac{0.06}{12} \right)^{240} }{\left(1+\dfrac{0.06}{12} \right)^{240} - 1} \approx 1,576.15[/tex]
The total amount paid over loan term, A = 240 × $1,576.15 ≈ $378.276
The monthly payment, M = $1,576.15
C. When t = 30 year and r = 5%, we have;
n = 12 × 30 = 360
[tex]\therefore M = \dfrac{220,000 \cdot \left(\dfrac{0.05}{12} \right) \cdot \left(1+\dfrac{0.05}{12} \right)^{360} }{\left(1+\dfrac{0.05}{12} \right)^{360} - 1} \approx 1,181.01[/tex]
The total amount paid over loan term, A = 360 × $1,181.01 ≈ $425,163
The monthly payment, M ≈ $1,181.01
The mortgage to be chosen is the mortgage with the least total amount paid over the loan term so as to reduce the liability
Therefore;
The mortgage chosen is option A which is a 15-year mortgage term with a 3% interest rate;
The total amount paid over the loan term = $270,470
Daria bought
a skein of alpaca yarn for $47.50, a skein
of angora yarn for $32.14, a skein of wool
yarn for $16.50, and a pair of knitting
needles for $3.86. How much did she
spend in all? Describe how you calculated
your answer
The total amount Daria spent on all her purchases is $100
In order to determine the total amount Daria spent on all her purchases, the cost of each item has to be added together.
Addition is a mathematical operation that can be used to determine the total sum of two or more values. other basic mathematical operations are subtraction, multiplication and division.
Total amount spent = cost of a skein of alpaca yarn + cost of a skein
of angora yarn + cost of a skein of wool yarn + cost of a pair of knitting
needles
$47.50 + $32.14 + $16.50 + $3.86 = $100
A similar question was answered here: https://brainly.com/question/13319621?referrer=searchResults
I need some help with 12 please
Answer:
its C
Step-by-step explanation:
thank me later
Find the value of x
solving steps
Answer:
x = 8
Step-by-step explanation:
Supplementary angles add up to 180 degrees to make a straight line.
The red square in one of them indicates that it is 90 degrees on their side which means that it is 90 degrees on the other where (6x+2) and 40 degrees are.
(6x+2) + 40 = 90
6x + 42 = 90
6x = 48
x = 8
the zeros of the function f(x)=-(x+1)(x-3)(x+2) are -1,3 and ___ and the y-intercept of the is located at (0,__)
Use the point-slope formula to write an equation of the line that passes through (-5, -4) and (3, -1).
Write the answer in slope-intercept form (if possible).
Answer:
point slope form: y + 4 = 3/8 (x + 5) slope intercept: y = 3/8x - 17/8
Step-by-step explanation:
y2 - y1 / x2 - x1
-1 - (-4) / 3 - (-5)
slope = 3/8
y + 4 = 3/8 (x + 5)
y = 3/8x + b
-1 = 3/8(3) + b
-1 = 9/8 + b
-17/8
y = 3/8x - 17/8
V
Calculate the length of Mary's trip.
10 miles
14 miles
24 miles
28 miles
Answer:
C) 24 miles
Step-by-step explanation:
Hope this helps! Pls give brainliest!
Answer:
C, 24 miles
Step-by-step explanation:
What is the probability that Zeke gets a sum of 7
Answer:
≈
17
%
Explanation:
A sum of 7 can be achieved the following ways.
5 and 2
2 and 5
4 and 3
3 and 4
6 and 1
1 and 6
There are
6/2
=
3/6
possible outcomes and 6 ways to obtain the sum of 7 so
6 3/6
≈
17
%
Is this correct?
If it’s not, help me :(
If f(x) is the total cost, in dollars, of x cupcakes, which of the following statements best describes the meaning of f(5) = 12?
Answer:
See belowStep-by-step explanation:
This a form of the proportional relationship:
f(x) = kx, where f(x) - total cost, k- cost of each item, x - number of itemsWe have:
f(5) = 12It means:
Total cost of 5 cupcakes is $12In f(x)
f(x) is total costx is total cupcakesSo in f(5)
5 cupcakes cost $12what is the factors of 245
Answer:
Factors of 245: 1, 5, 7, 35, 49 and 245.
Answer:
the factor of 245 is 1 5 7 35 49 and 245
Which of the given is the set of zeroes of the polynomial p(x)=2x3+x2-5x+2
Answer:
x = 1, [tex]\frac{1}{2}[/tex], -2Step-by-step explanation:
To find the roots (zeros), replace y with 0 and solve for x .
Hope this helped. A brainliest would be very much appreciated. (I need 5 brainliest so I can level up) :)
What is the y-intercept of this graph?
Answer:
0,0
Step-by-step explanation:
To find y-intercept You look where the line touches the y-axis and vice-versa if you want to find teh x-intercept
I will give brainliest if the following questions get answered :3.86 + 0.9876.31 + 48.55126 + 87.457
Answer:
Your answer would be 140.855891 or 140.9 rounded.
Step-by-step explanation:
3.86+
0.9876.31+
48.55126+
87.457=
140.855891 or 140.9 rounded to the nearest tenth
Help ASAP giving brainliest
Answer:
X >= 1
Step-by-step explanation:
Answer:
x>=1
Step-by-step explanation:
I will give you a simple definition for Closed and Open number lines.
Closed circles in this number line mean INCLUDING 1 and everything greater so X>=1, or row 2 column 1.
Actividades de Desarrollo Actividad 1. En el siguiente ejercicio identificarás los elementos de los términos algebraicos (signo, coeficiente, literal y exponente) en los espacios correspondientes. Considera que, si no existe un signo explícitamente, lo deberás indicar como positivo (+), de igual forma, de no ser visible un exponente, su valor será de uno. a) -21x3w? Signo: - Coeficiente: 21 Literales: X, W Exponentes: 3.7 b)-755 Signo: Coeficiente: Literales: Exponentes: Literales: c) 8a2b5 Coeficiente: Exponentes: Signo: Literales: Exponentes: Coeficiente: Signo: Literales: Exponentes: Coeficiente:_ Signo: Literales: Exponentes: Coeficiente: Signo: d) m11 e) xyws ni ayb e) xyws e) xyws Literales: Exponentes: Coeficiente: Signo: Signo: Exponentes: Literales: 28 Coeficiente: ACADEMIA NACIONAL DE MATEMATICAS DGETI
Una expresión algebraica consta de una variable, coeficiente, exponente y signos.
Una variable es cualquier término desconocido y representado por el alfabeto inglés, como a, b, c, etc.
Un coeficiente es un número que se multiplica por la variable, como 2, 17, 39, etc.
Un exponente da la potencia del término que indica cuántas veces se repite.
a) -21x³w⁷
Firmar: -
Coeficiente: 21
Literales: X, W
Exponentes: 3.7
b) -755
Signo: negativo -
Coeficiente: 755
Literales: nulo
Exponentes: 1
c) 8a²b⁵
Signo: Positivo +
Coeficiente: 8
Literales: a, b
Exponentes: 2,5
d) m11
Signo: Positivo +
Coeficiente: 11
Literales: m
Exponentes: 1
e) xyws
Signo: positivo
Coeficiente: 1
Literales: x, y, w, s
English
An algebraic expression consists of a variable , co efficient, exponent and signs.
A variable is any term that is unknown and represented by the English alphabet such as a, b,c and so on.
A co efficient is a number that is multiplied by the variable such as 2, 17 ,39 etc.
An exponent gives the power of the term indicating how many times it is repeated.
a) -21x³w⁷
Sign: -
Coefficient: 21
Literals: X, W
Exponents: 3.7
b) -755
Sign: negative -
Coefficient: 755
Literals: nil
Exponents: 1
c) 8a²b⁵
Sign: Positive +
Coefficient: 8
Literals: a,b
Exponents: 2,5
: d) m11
Sign: Positive+
Coefficient: 11
Literals: m
Exponents: 1
e) xyws
Sign: Positive
Coefficient: 1
Literals: x,y,w,s
https://brainly.com/question/19864285
https://brainly.com/question/24615967
Evaluate
Write your answer as a fraction in simplest form.
HELP PLEASE
Answer
-3⁻³/6⁻²
= (-1*3)⁻³/(2*3)⁻²
= -1⁻³·3⁻³/2⁻²·3⁻²
= -1.3⁻³⁺²/2⁻²
= -1.3⁻¹/2⁻²
= -4/3
Step-by-step explanation:
Can somebody round 32.7 to the nearest 10th and make it a whole number? explain your answer very very clearly please ;)
Answer:
32.7. 0.7 is a tenth already
32.7. 7 is greater than 5.
round to 38
Step-by-step explanation:
Please help me w this
Answer:
I can't give answer i don't have but....
percentage is similar to division.
heyyyyyyyyyy kinda need help asap sooooooo plz :)
Answer:
C and D are the most accurate/correct answers
Step-by-step explanation:
A car is traveling at 40 mi/hour. What is the car's speed in feet per second?
Answer:
58.8 feet per second
Step-by-step explanation:
At 40 miles per hour, you are traveling 58.8 feet per second. To convert miles per hour to feet per second, multiply the miles per hour figure by 1.47. There are 5280 Feet in a mile and 3600 Seconds in an hour. If you divide 5280 Feet by 3600 Seconds (5280 FT /3600 SEC.), you get 1.47.
Hope that helps :)
10x-1/3y=15
solve for y
Answer:
[tex]y = \frac{10x - 1}{45} \\ [/tex]
Step-by-step explanation:
[tex] \frac{10x - 1}{3y} = 15 \\ 10x - 1 = 15 \times 3y \\ 10x - 1 = 45y \\ \frac{10x - 1}{45} = y \\ [/tex]
Answer this for 50 points
Answer:
This would be point M.
Step-by-step explanation:
Hope this helps!
Answer:
M
Step-by-step explanation:
(3.75, -2.25)
The first coordinate is the x coordinate which means left or right.
Since it is positive we go to the right 3.75 units
The second coordinate is the y coordinate which means up or down
Since it is negative we go down 2,25 units
The point is labeled M
Please help me solve this problem
Answer:
I would say translation
Answer:
translation
Step-by-step explanation:
translation is move the shape to other place with same shape and same size
reflection is reflect the shape ，it will not be same direction
Determine the slope of the line in the graph below.
Answer:
Step-by-step explanation:
jnj
Answer:
I'm pretty sure it's 5
Step-by-step explanation:
It's 5 if: (please confirm before you answer it--the picture is blurry and it's hard to tell).
The line appears to intersect the origin (0,0) and (2.5,12.5).
Slope is rise over run, so if you take the difference in y value and divide it by the difference in x value, you get the slope.
Solve this plz ill give your brainly
Answer:
1) 280
There are 60 minutes in an hour. 60/15 is four. 4*70 is 280
2)384
640/5=128
128*3=384
3) 24
216/9=24
4)3
4.5=18/4
six times as many as you need.
1/2 times 6 is 3.
5)1120
280*4=1120
Hope this helps!
Please answer all 4 questions:)
Answer:
1. d=m/v
=57.6/112.9
=0.51018601
=0.510g/cm³(3s.f.)
2. m=d×v
=1.8×54
=97.2g
3. v=m/d
=63.8/12.7
=5.02362205
=5.02cm³(3s.f.)
4. v=length×breath×height
=12×2×6
=144m³
216g=0.216kg
d=m/v
=0.216/144
=0.0015kg/m³
Step-by-step explanation:
density=mass/volume
mass=density×volume
volume=mass/density
*make sure the units are correctly placed.
*g/cm³, kg/m³
PLEASE HELP RN AQAP
THANKS!
Answer:
8^3 x 12^3
Step-by-step explanation:
The graph of linear function k passes through the points (-3, 0) and (1, 8). Which statement must be true?
A. The x-Intercept of the graph of k is 8.
B. The slope of the graph of k is 2.
C. The graph of k passes through (-1, -8).
D. The zero of k is 3.
Fr someone help me
Answer:
B. The slope of the graph of k is 2.Step-by-step explanation:
Find the equation of the line.The slope is:
m = (8 - 0)/(1 + 3) = 2The y-intercept is:
0 = -3*2 + bb = 6The line is:
y = 2x + 6Now lets look at the answer optionsA. The x-Intercept of the graph of k is 8.
The x- intercept is -3, FalseB. The slope of the graph of k is 2.
m = 2, TrueC. The graph of k passes through (-1, -8).
-8 = 2(-1) + 6-8 = 4, FalseD. The zero of k is 3.
x = 0 ⇒ y = 0+ 6 = 6, FalseThe slope of the graph of k is 2.
The correct statement is B.
Given that the graph of linear function k passes through the points (-3, 0) and (1, 8).
We need to check which option is correct.
To determine the correct statement, let's first find the equation of the linear function k using the given points (-3, 0) and (1, 8).
The slope of a linear function is given by:
slope = (change in y) / (change in x)
Using the points (-3, 0) and (1, 8):
slope = (8 - 0) / (1 - (-3))
slope = 8 / 4
slope = 2
So, the slope of the graph of k is 2.
Now we can write the equation of the linear function using the slope-intercept form: y = mx + b, where m is the slope, and b is the y-intercept.
Using the point (1, 8):
8 = 2 × 1 + b
8 = 2 + b
b = 8 - 2
b = 6
Now, the equation of the linear function k is:
y = 2x + 6
Now, let's evaluate the given statements:
A. The x-Intercept of the graph of k is 8.
To find the x-intercept, we set y = 0 and solve for x:
0 = 2x + 6
2x = -6
x = -3
The x-intercept is -3, not 8. So statement A is false.
B. The slope of the graph of k is 2.
We already found earlier that the slope of k is 2. So statement B is true.
C. The graph of k passes through (-1, -8).
Let's check if (-1, -8) satisfies the equation of k:
-8 = 2 × (-1) + 6
-8 = -2 + 6
-8 = 4
The equation is not satisfied, so statement C is false.
D. The zero of k is 3.
To find the zero of k (the x-value where y = 0), we set y = 0 and solve for x:
0 = 2x + 6
2x = -6
x = -3
The zero of k is -3, not 3. So statement D is false.
In conclusion:
Statement A is false.
Statement B is true.
Statement C is false.
Statement D is false.
Learn more about linear function click;
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Jane started jogging home from 5 miles away, at a rate of 2 mph. Which equation in slope-intercept form represents Jane's distance from home?
Answer:
10 miles
Step-by-step explanation:
A family drives 412 miles in 110 of an hour. What is their rate of speed in miles per hour?
MPH is the ratio Miles/hour
412=miles
110=hours
412/110 = 3.745 with 45 repeated
hopefully i got this right, the answer seems wrong to me.
Answer:
110 per hour
Step-by-step explanation:
ies xd