Part a)
The home value is $120,000 and they get a loan for $90,000.
This must mean the down payment was 120,000 - 90,000 = 30,000 dollars. This is the payment made up front.
The mortgage has a monthly payment of $786.60 which is done for 25 years = 25*12 = 300 months. They pay back 786*300 = 235,800 dollars.
Therefore, the total amount they pay for the house is:
downPayment + loanRepayment = 30,000 + 235,800 = 265,800
Answer: $265,800=======================================================
Part b)
Refer to the previous part. Laura and Martin pay back $235,800 after being loaned $90,000
The total amount of interest is 235,800 - 90,000 = 145,800 dollars.
Answer: $145,800=======================================================
Part c)
The annual interest rate is 9.5% which converts to the decimal form 0.095
Divide this over 12 to get the monthly interest rate in decimal form.
0.095/12 = 0.00791667 approximately
Then multiply this with the initial balance of $90,000
90,000*0.00791667 = 712.5003
This rounds to 712.50 and this represents the interest for the first month.
This leads to:
principal = monthlyPayment - interest
principal = 786.60 - 712.50
principal = 74.10
It is unfortunately common practice that the starting monthly payments will be mostly interest. As time goes on, the increase payments decrease because they are tied directly to the remaining balance.
Answer: $74.10Which of the following is NOT an integer? A. 8/2 B. 1/4 C. 0 D. -5
Answer:
B. 1/4
Step-by-step explanation:
Even though A is a fraction it is also an integer (4)
What equals -9 when multiplied but -8 when added
Answer:
1 and -9
Step-by-step explanation:
We can find the number by looking at the factors of -9, which include 1 and -9, -1 and 9, and -3 and 3.
1 * -9 = -9
1 + (-9) = -8
An airplane flying with the wind takes 5 hours to travel a distance of 960 miles. The return trip takes 6 hours flying against the wind. What is the speed of the airplane in still air and how fast is the wind blowing?
let's recall that d = rt, distance = rate * time.
a = speed of the airplane in still air.
w = speed of the wind
the distance travelled with the wind is 960 miles, so the return trip is pretty much just that, 960 miles.
when the airplane is going with with wind, the airplane is really not going as fast as "a" mph, is really going faster due to the wind, so the speed of the plane is "a + w", because the wind is adding its speed to it.
when the airplane is going against the wind is not really going "a" mph fast either, is really going slower at "a - w" mph, because the wind is subtracting speed from it, so
[tex]\begin{array}{lcccl} &\stackrel{miles}{distance}&\stackrel{mph}{rate}&\stackrel{hours}{time}\\ \cline{2-4}&\\ \textit{with the wind}&960&a+w&5\\ \textit{against the wind}&960&a-w&6 \end{array}~\hfill \begin{cases} 960=(a+w)(5)\\\\ 960=(a-w)(6) \end{cases} \\\\\\ \stackrel{\textit{using the 1st equation}}{960=(a+w)(5)}\implies \cfrac{960}{5}= a + w\implies 192=a+w\implies \boxed{192-w=a}[/tex]
[tex]\stackrel{\textit{substituting on the 2nd equation}}{960=(\underline{192-w}~~ - ~~w)(6)}\implies \cfrac{960}{6}=192-w-w\implies 160=192-2w \\\\\\ 2w+160=192\implies 2w=32\implies w=\cfrac{32}{2}\implies \blacktriangleright w=16 \blacktriangleleft ~\hfill \blacktriangleright \stackrel{192 - 16}{176=a} \blacktriangleleft[/tex]
Solve the equation for y.
2x + 5y = 5
y=25x+1
y=−10x+25
y=−25x+1
y=25x+5
Answer: C
Step-by-step explanation:
[tex]2x+5y=5[/tex]
[tex]\mathrm{Subtract\:}2x\mathrm{\:from\:both\:sides}[/tex]
[tex]2x+5y-2x=5-2x[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]5y=5-2x[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}5[/tex]
[tex]\frac{5y}{5}=\frac{5}{5}-\frac{2x}{5}[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]\bf{y=-\frac{2}{5}x + 1}[/tex]
Help
ASAP...........
Step-by-step explanation:
[tex](9x + 24) + 30x = 180[/tex]
[tex]39x + 24 = 180[/tex]
[tex]39x = 156[/tex]
[tex]x = 4[/tex]
Hence，we know
<DEC
[tex] = 9x + 24 = 9 \times 4 + 24 = 60[/tex]
<AEB=<DEC=60
Flying against the jetstream, a jet travels 2370 miles in 3 hours. Flying with the jetstream, the same jet travels 6350 miles in 5 hours. What is the rate of the jet in still air and what is the rate of the jetstream?
Velocity of jet in still air is
970
miles per hour and velocity of wind is
210
miles per hour.
Explanation:
Jet's velocity against wind is
3040
4
=
760
mile per hour and flying with wind it is
8260
7
=
1180
miles per hour.
Let the velocity of jet in still air be
x
miles per hour and velocity of wind be
y
miles per hour.
As such its velocity against wind is
x
−
y
and with wind is
x
+
y
and therefore
x
−
y
=
760
and
x
+
y
=
1180
Adding the two
2
x
=
1940
and
x
=
970
and
y
=
1180
−
970
=
210
Hence velocity of jet in still air is
970
miles per hour and velocity of wind is
210
miles per hour.
The speed of an aircraft in still air is 200kmh−1. The wind blows from the west at a speed of 85.0kmh−1.
1 Expert Answer
The speed of the plane in still air is 110 mph.
Multiply the headwind or tailwind component by your estimated flight time expressed as a decimal, such as "3.2 hours." Add the result (don't forget that tailwinds are negative numbers) to the geographic distance of your route. The resulting number will be total nautical air miles of your trip.
HELP ME ON TANGENTS, ARCS AND CHORDS! 1
Solve for x in the diagram below?
The value of x in the triangle with angles 80, 40 and (13x - 5) degrees is 5.
Sum of angle in a triangleThe sum of angle in a triangle is equals to 180 degrees. Recall a triangle have three sides. Therefore,
80 + 40 + 13x - 5 = 180
120 - 5 + 13x = 180
115 + 13x = 180
subtract 115 from both sides of the equation
115 - 115 + 13x = 180 - 115
13x = 65
divide both sides by 13
13x / 13 = 65 / 13
x = 5
learn more on triangle here: https://brainly.com/question/15268683
a land mass is roughly in the shape of a rectangle whose perimeter is 1200 miles the width is 120 miles less than the length find the length and the width
PLEASE HELP ASAP!!! IM STUCK ON THIS
Answer:
Length: 360. Width: 240.
Step-by-step explanation:
360 * 2 = 720
240 * 2 = 480
720 + 480 = 1,200
which fraction is the biggest?
[tex] \frac{2}{3} [/tex]
[tex] \frac{4}{5} [/tex]
[tex] \frac{7}{8} [/tex]
Determine f”(1) for the function f(x)=(3x^2-5x^2)^2.
Answer: 48
Step-by-step explanation:
Name three synonyms for "Solution": _____________,___________,______________
Answer:
1 quick fix 2 solving 3 result
Step-by-step explanation:
hope it helps
Write in 0.85 as a common fractionin its simplest form
[tex]\mathsf\pink{♧ANSWER♧}[/tex]
[tex] \mathsf \purple{0.85 = \frac{85}{100} = \frac{17}{20} }[/tex]
85/100 = 17/20
first we write the fraction from of 0.85 which is 85/100
then for simplifying it, we divide both 85 and 100 by 5
then we get to 17/20 which is our final answer
Solve 6x - 3y = 12 for y.
Answer:
6x-3y=12
+3y
6x=3y+12
divide by 3
2x=y+4
-4
y=2x-4
Hope This Helps!!!
Figure ABCD is a parallelogram.
Parallelogram A B C D is shown. The length of A B is 4 y minus 2, the length of B C is 2 x + 2, the length of D C is 2 y + 6, and the length of A D is 3 x minus 1.
What is the perimeter of ABCD?
14 units
38 units
44 units
49 units
Answer: 44 units
Step-by-step explanation:
Opposite sides of a parallelogram are equal, hence sides
AB = DC
4y-2 = 2y+6
2y=8
y=4
and
BC = AD
2x+2=3x-1
x=3
AB = 4Y-2
y=4
AB=14
BC=2x+2
x=3
BC=8
Perimeter = 2 X (AB + BC)
= 2 X (14+8)
= 44
Answer:
44 units
Step-by-step explanation:
cos(theta) / sin(theta)cot(theta) = 1
Select the correct answer
What is the range of this function?
Please help it’s multiple choice wil choose brain list an 100 points!!!!!
LETTER B IS THE CORRECT ANSWER
Gabrielle's age is two times Mikhail's age. The sum of their ages is 81. What is Mikhail's age?
Answer:
27
Step-by-step explanation:
Let g be Gabrielle's age and m be Mikhail's age.
We can turn the statements the problem gives us into mathematical expressions to help us solve.
Gabrielle's age is two times Mikhail's age:
g = 2m
The sum of their ages is 81:
g + m = 81
This gives us a system of equations that will allow us to solve for Gabrielle's age.
g + m = 81
(2m) + m = 81
3m = 81
m = [tex]\frac{81}{3}[/tex]
m = 27
If we need to solve for Gabrielle's age, we can do the following.
g = 2m
2(27) = g
54 = g
g = 54
Mikhail's age is 27.
Gabrielle's age is 54.
Answer:
Mikhail is 27
Step-by-step explanation:
Use 'm' to represent Mikhail's ageUse g = 2m to represent Gabrielle's age (because Gabrielle's age is twice that of Mikhail's.You know that both of their ages combined must equal 81. This can be represented by g + m = 81Lastly, since we stated g=2m, substitute it into the equation to make: 2m + m = 81Combine like variables and divide to get Mikhail's age.**If you want to find Gabrielle's age, multiply Mikhail's age by two, as represented by the equation g=2m. Gabrielle is 57.
Hope this helps!
Please find 2/3 minus 3/5
Convert the following to sq. cm or to sq. m, as required.
920 000 sq. cm= ______ sq. m
Answer:
The answer is 92
Step-by-step explanation:
1 m = 10,000cm
920,000/10,000=92
00:23:04
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Product A sells 2.5 times more than Product B. Product B sells 60% less than Product C. Product C sold 25,000 units this month.
How many units of Product A were sold?
10,000
15,000
25,000 37,500 62,500
Answer:37,500
Step-by-step explanation: Find 60% of 25000 which is 15000 then multiply by 2.5
-8x+4y=-8
5x-2y=1
Pls answer this fast
Answer:
x=-3
y=-8
I answered your question in the photo sent.
Please help pls pls pls pls it’s due soon
Answer:
the answer is 67.5
Step-by-step explanation:
look at the photo
The area of the polygon shown in the figure is _______.
3) After measuring the heights of 7 people, they have an average height of 156cm. After
measuring the heights of 8 people they have an average height of 158cm. How tall is
the 8th person?
Answer greatly appreciated asap
Answer:
172 cm
Step-by-step explanation:
The total height of the first 7 people is the average of the 7 people multiplied by the number of people, which is 156 * 7 or 1092. Using the same method, the total height of the first 8 people is 158*8 or 1264. The eighth person must be 1264 - 1092 cm tall or 172 cm tall.
Which is the logarithmic form of 83 = 512?
log8 512 = 3
log512 9 = 2
log3 512 = 8
log3 8 = 512
Answer:
no solution,because the Is no 83=512 there
An arrow is shot vertically upward at a rate of 160 feet per second from ground level. Use the projectile formula
h
=
−
16
t
2
+
v
0
t
+
h
0
h
=
-
16
t
2
+
v
0
t
+
h
0
to determine when the height of the arrow will be 114 feet.
Answer:
0.772 seconds; 9.228 seconds
Step-by-step explanation:
The given projectile formula with the given numbers filled in is ...
[tex]\displaystyle h=-16t^2+v_0t+h_0\\\\114=-16t^2+160t[/tex]
We can "complete the square" to solve this for t, the times at which the height is 114 feet.
16(t² -10t) = -16(7.125) . . . . . rearrange, showing factor of 16
t² -10t +25 = -7.125 +25 . . . . divide by 16, add 25 to complete the square
t = 5 ±√17.875 ≈ 5 ± 4.228 . . . . take the square root, add 5
t ∈ {0.772, 9.228}
The arrow is 114 feet high after 0.772 seconds and again after 9.228 seconds.
the length of a rectagle is 5 in longer than its width. if the perimeter of the rectangle is 58 in, find its length and width
Answer:
Length: 17 in, Width: 12 in
Step-by-step explanation:
Let l=length and w=width
l=w+5
2(w+5)+2w=58
4w=48
w=12, l=17
Answer:
Length = 17 inchesWidth = 12 inches⠀
Step-by-step explanation:
⠀
As it is given that, the length of a rectangle is 5 in longer than its width and the perimeter of the rectangle is 58 in and we are to find the length and width of the rectangle. So,
⠀
Let us assume the width of the rectangle as x inches and therefore, the length will be (x + 5) inches .
⠀
Now, According to the Question :
⠀
[tex]{\longrightarrow \qquad { \pmb{\frak {2 ( Length + Breadth )= Perimeter_{(Rectangle)} }}}}[/tex]
⠀
[tex]{\longrightarrow \qquad { {\sf{2 ( x + 5 + x )= 58 }}}}[/tex]
⠀
[tex]{\longrightarrow \qquad { {\sf{2 ( 2x + 5 )= 58 }}}}[/tex]
⠀
[tex]{\longrightarrow \qquad { {\sf{ 4x + 10= 58 }}}}[/tex]
⠀
[tex]{\longrightarrow \qquad { {\sf{ 4x = 58 - 10}}}}[/tex]
⠀
[tex]{\longrightarrow \qquad { {\sf{ 4x = 48}}}}[/tex]
⠀
[tex]{\longrightarrow \qquad { {\sf{ x = \dfrac{48}{4} }}}}[/tex]
⠀
[tex]{\longrightarrow \qquad{ \underline{ \boxed { \pmb{\mathfrak {x = 12}} }}} }\: \: \bigstar[/tex]
⠀
Therefore,
The width of the rectangle is 12 inches .⠀
Now, We are to find the length of the rectangle:
[tex]{\longrightarrow \qquad{ { \frak{\pmb{Length = x + 5 }}}}}[/tex]
⠀
[tex]{\longrightarrow \qquad{ { \frak{\pmb{Length = 12 + 5 }}}}}[/tex]
⠀
[tex]{\longrightarrow \qquad{ { \frak{\pmb{Length = 17}}}}}[/tex]
⠀
Therefore,
The length of the rectangle is 17 inches .⠀
B.A ECO
(b) Prices of three commodities A, B and Crised by 4096, 60% and 90% respectively.
Commodity A is six times more important than Qy and B is three times more important than
C. what is the mean fise of these three commodities?
What is M G to the nearest tenth
Answer:
tan m‹G = 28.2/45.8
m‹G= 31.62°