Answer:
$ 251,619.37
Step-by-step explanation:
Given that :
Loan = $ 268,000
Interest rate = 4.4 % per annum
4.4%/12 months = 0.366% per month
[tex]$3/27$[/tex] : [tex]$3$[/tex] years to pay and [tex]27[/tex] years amortization
[tex]27[/tex] years x 12 months = [tex]324[/tex] months
Calculating the amount for he monthly amortization,
[tex]$A=P \times \frac{r(1+r)^n}{(1+r)^n-1}$[/tex]
[tex]$A=268,000 \times \frac{0.00366(1+0.0366)^{324}}{(1+0.00366)^{324}-1}$[/tex]
[tex]$A=268,000 \times \frac{0.0119}{2.266}$[/tex]
A = 1407.41
Therefore, the future value is given by :
[tex]$FV=PV(1+r)^n-P\left[\frac{(1+r)^n-1}{r}\right]$[/tex]
where, FV = future value ( balloon balance)
PV = present value (original balance)
P = payment
r = rate per payment
n = number of payments
[tex]$FV=268,000(1+0.00366)^{36}-1407.41\left[\frac{(1+0.00366)^{36}-1}{0.00366}\right]$[/tex]
[tex]$FV = 305670.10- 54050.73 $[/tex]
FV = 251619.37
Therefore, Stuart's balloon payment will be $ 251,619.37
Soit trois nombres consécutifs. Lorsque l’on soustrait le double du deuxième nombre du quadruple du
premier nombre on obtient le triple du troisième nombre moins 15. Détermine quels sont ces nombres.
Answer:
Les trois nombres sont 5, 6 et 7.
Step-by-step explanation:
Soit x le premier nombre.
x + 1 sera le second et x + 2 sera le troisième.
On pose l'équation :
2x + 3(x + 1) = 4(x + 2)
2x + 3x + 3 = 4x + 8
5x - 4x = 8 - 3
x = 5
i hope u can help meeeee!!!
Answer:
1)4,5,8
2)3,6,7
3)1 and2,5 and 6,3 and 4,7 and 8,1 and6,3and 8,2 and5,4 and 7
Matthew purchased a desk that was on
sale for 45% off the original price of
$480. If the sales tax was 8% (of the
sale price), how much did Matthew
spend on the desk?
Answer:
ANSWER :
285.12
discount amount =45/00 x 480=45 x 48/10
=216.0
price of discount =480-216=264
salex tex 8/100 x 264. =21.12
total many of spend 264+21.12=285.12
Solve each by elimination
4x - y = 105
x + 7y = -10
Answer:
point form:
(25, -5)
Equation form:
x= 25, y= -5
heyy! i’ll give brainliest please help.
Answer: A/ Polar Regions
Step-by-step explanation:
I'm sure of it.
Manual is cooking dinner for his family of four. The recipe he is using makes dinner for six people. The recipe calls for three cups of flour. How many cups of flour should Manuel use to make the recipe for four people?
1. 1 cup
2. 2 cups
3. 7 cups
4. 8 cups
What Expressions are equivalent to ....
I think it is C
Step-by-step explanation:
I really dont know
Please help, sorry the image is blurry I retook it multiple times.
Answer:
i dont really know for sure, but try P (-8, 6) Q (-5, 2) and R (2, 1) sorry if its wrong
Step-by-step explanation:
Please help if you know the answer please!!!
Answer:
20
Step-by-step explanation:
The figure can be broken up into 4 congruent right triangles
with sides of 3 and 4.
Which makes a classic 3-4-5 right triangle
The 5 side is on the perimater
4 * 5 = 20
0.2x + 0.3 = 0.1x + 0.5
Answer:
x = 2
Step-by-step explanation:
0.2x + 0.3 = 0.1x + 0.5 ( subtract 0.1x from both sides )
0.1x + 0.3 = 0.5 ( subtract 0.3 from both sides )
0.1x = 0.2 ( divide both sides by 0.1 )
x = 2
Can anyone help a fellow out ?
Please help me solve this 5/3x²-x-2 +5/3x²-x-1 =7/3x²-x-3
Answer:
can you take a photo of the equation? and do you just want to evaluate?
PLEASE HELP ME FAST WILL GIVE POINTS AND BRAINLIEST
Answer:
x = 289 degrees
Step-by-step explanation:
The sum of angle measures in a hexagon is 720 degrees. One can apply this information here, by forming an equation. Add up all of the angle measures, including parameter (x), simplify and use inverse operations to solve for the numerical value of the parameter (x).
100 + 102 + 108 + 121 + x = 720
Simplify,
431 + x = 720
Inverse operations,
431 + x = 720
-431 -431
x = 289
Box A has a volume of 24 cubic meters. Box B is similar to Box A. To create Box B, Box A's dimensions were multiplied by 4. What is the volume of Box B?
Answer: [tex]1536\ m^3[/tex]
Step-by-step explanation:
Given
Box A has a volume of [tex]24\ m^3[/tex]
Box B is similar to box A such that box A dimension is multiplied by 4 to get the box B
So, each length is 4 times the box A and volume is the cube of the side.
Thus, the volume of box B is [tex]4\times 4\times 4[/tex] the volume of box A
The volume of box B is
[tex]=4\times 4\times 4\times 24\\=1536\ m^3[/tex]
hii i’ll give brainliest please help thanks :)
Answer:
3,6,9
Step-by-step explanation:
123 456 789
Answer:
85
Step-by-step explanation:
hi plz mark brainlist
2) Sandy empties 21 cookies into a jar. Twelve were vanilla-flavored and 9 were
chocolate-flavored. What fraction of cookies were vanilla- flavored?
Answer:
4/7
Step-by-step explanation:
12 vanilla / 21 total
12/21 = 4/7 (divide both sides by 3)
Answer:
3/7
Step-by-step explanation:
9 / 21 = 3/ 7
7 1/2 divided by 3/4 equals?
Answer:
The answer is 9 3/5
I hope this helps :)
Which graph represents 9x2 – 16y2 – 54x + 64y – 127 = 0?
Answer:
Right now I'm wondering what kind of class you are taking to get such a weird graph, but I graphed it for you on the screenie.
Step-by-step explanation:
You should though recheck your question for exponents, as 9x2 could be interpreted differently.
Since exponents to not transition well here, I can assume that it was a 9x^2, so please add an exponent symbol ^ between the variables and exponents next time.
Answer:
its C
Step-by-step explanation:got it right edge2022
r/3 - 9 ≥ - 2
pls show steps and answer
i’ll mark brainlyest
Answer:
r ≥ 20
Step-by-step explanation:
r/3 - 9 ≥ - 2
r/3 ≥ 7
Multiply both sides by 3
r ≥ 21
Answer: Good deal
Step-by-step explanation:
r/3-9≥2
r ≥ 20
r/3 - 9 ≥ - 2
r/3 ≥ 7
3 r ≥ 20
What is the distance between parallel lines whose equations are y = 2x + 7 and y = 2x – 3?
Answer:
The distance is [tex]\sqrt{20}[/tex] or [tex]2\sqrt{5}[/tex].
Step-by-step explanation:
Slope of parallel: 2
Slope of perpendicular: -1/2
Pick a point for y =2x + 7. For example (0,7)
Use the perpendicular slope to get to the other line to find the other point of y=2x-3. Look at the screenshot...I got (4,5).
Distance formula [tex]\sqrt{(x_{2}-x_{1} )^{2}+(y_{2} -y_{1})^2 }[/tex]
Insert (0,7) and (4,5)
[tex]\sqrt{(0-4)^{2}+(7-5)^2 }[/tex] = [tex]\sqrt{(-4)^{2}+(2)^2 } = \sqrt{(16)+(4)} } = \sqrt{20} = 2\sqrt{5}[/tex]
The distance between parallel lines whose equations are y = 2x + 7 and y = 2x – 3 is [tex]2\sqrt{5}[/tex] and can be determined by using the point-slope form and also by using the distance formula.
Given :
y = 2x + 7y = 2x - 3First, determine the line perpendicular to the line (y = 2x + 7) whosw slope is -1/2 and intersect the line (y = 2x + 7) at point (0,7).
Using the point-slope, the equation of the perpendicular line can be determined.
[tex](y-y_1)=m(x-x_1)[/tex] ---- (1)
where m is the slope and [tex](x_1,y_1)[/tex] is the point on the line.
Now, put the value of known terms in the equation (1).
[tex]y-7=-\dfrac{1}{2}(x-0)[/tex]
y = -0.5x + 7 --- (2)
Now, determine the point of intersection between lines (y = -0.5x + 7) and (y = 2x -3).
Substitute the value of y that is (y = 2x - 3) in equation (y = -0.5x + 7).
2x - 3 = -0.5x + 7
2.5x = 10
x = 4
Now, put the value of x in the equation (y = -0.5x + 7).
y = -0.5(4) + 7
y = 5
Now, the distance between two points is given by the equation:
[tex]\rm D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]\rm D = \sqrt{(0-4)^2+(7-5)^2}[/tex]
[tex]\rm D = \sqrt{20}[/tex]
[tex]\rm D = 2\sqrt{5}[/tex]
The distance between parallel lines whose equations are y = 2x + 7 and y = 2x – 3 is [tex]2\sqrt{5}[/tex].
For more information, refer to the link given below:
https://brainly.com/question/19707745
A playground has two sides that each measure 70 feet and two sides that each measure 50 foot. Select all the quadrilaterals that describe the shape
of a playground with these dimensions.
The last one is trapezoid
Answer:
Rectangle
Step-by-step explanation:
Would any three squares
form the sides of a right
triangle? Explain.
Three squares of sides 15 units, 9 units, and 12 units can form a
right-angled triangle.
What is a triangle?A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.
Given, We have to form a right-angled triangle that has side lengths of
3 different squares.
Let, The first square has a side length of 9 units, and let this be the height of the right-angled triangle.
Another square has a side length of 15 units and this is the hypotenuse.
Therefore, the base of the triangle must be 15² - 9² = 225 - 81 = 144 = 12 units.
So, The third square must have a side length of 12 units.
learn more about triangles here :
https://brainly.com/question/29083884
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PLZ HELP ME PLZ PLZ I’LL MARK AS BRAINLIESTT!!
Answer:
$0.35
Step-by-step explanation:
16.25/1.25=13
4.55/13=0.35
(-2-√3) (-2+√3) when simplified is
Answer:
=1
Step-by-step explanation:
(-2-√3)(-2+√3)
=-2(-2+√3)-√3(-2+√3)
=4-2√3+2√3-√9
=4-3
=1
What is the surface area of the cylinder with height 2 yd and radius 3 yd? Round your answer to the nearest thousandth.
[tex] \boxed{ \mathrm{Surface \: Area = 2\pi r(h +r )}}[/tex]
[tex]2 \times 3.14 \times 3 \times (3 + 2)[/tex][tex]18.84 \times 5[/tex][tex] \boxed{\mathrm{94.2 \: yd {}^{2} }}[/tex]_____________________________
[tex]\mathrm{ \#TeeNForeveR}[/tex]
!!HELP PLEASE NO LINKS!!Select the graph of y = 3 sin (x+ pi/4)
Answer:
A
Step-by-step explanation:
Just graph it
resuelve la siguiente ecuación trigonométrica 2Sena-√3=0
Which of these equations is eqavalent to 1/2x and 2/3y=5
Answer:
1.12
Step-by-step explanation:
The difference of twice a number and 10 is less than 22
2(n-10)≤ 28 or n ≤ 24
Answer:
2x-10≤22
Step-by-step explanation:
2x≤22+10=32
x≤16
In ΔPQR, \overline{PR} PR is extended through point R to point S, \text{m}\angle PQR = (2x+6)^{\circ}m∠PQR=(2x+6) ∘ , \text{m}\angle RPQ = (x-7)^{\circ}m∠RPQ=(x−7) ∘ , and \text{m}\angle QRS = (5x-17)^{\circ}m∠QRS=(5x−17) ∘ . What is the value of x?x?
The value of x according to the given information is 8
Sum of interior angleThe sum of interior angle of a triangle is equal to the exterior
Given the following
interior angles = PQR=(2x+6) and ∠RPQ=(x−7)
exterior = m∠QRS=(5x−17)
According to the theorem
5x -17 = 2x+6+ x - 7
5x - 17 = 3x - 1
5x-3x = -1 + 17
2x = 16
x =8
Hence the value of x according to the given information is 8
Learn more on exterior angle theorem here; https://brainly.com/question/11900288
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