Complete question :
Laura and Martin obtain a 30-year, $180,000 conventional mortgage at 10.0% on a house selling for $210,000. Their monthly mortgage payment, including principal and interest, is $1566.00. Determine the total amount they will pay for their house. How much of the cost will be interest? How much of the first payment on the mortgage is applied to the principal?
Answer:
$563760 ; $383760 ; $66
Step-by-step explanation:
Given that:
Monthly mortgage payment = $1566
Period = 30 years
Number of months in period = (30 * 12) = 360
Principal = $180,000
1.)
Total amount paid :
Monthly payment * period
$1566 * 360 = $563760
2.)
Total amount paid = Principal + Interest
Interest = Total amount paid - principal
Interest = $563760 - $180000
Interest = $383760
3)
First payment = 1566
Interest rate = 10% per annum = 0.1 / 12 = 0.0083333
monthly interest: 180,000 * 0.0083333 = 1500
Principal = 1566 - 1500 = $66
Alice has taken a job with a starting salary of $17,600 and the annual raise of $850. What will her salary be on the 5th year of her job?
Answer:
21,850
Step-by-step explanation:
850 x 5 = 4,250
17,600 + 4250 = 21,850
(12 + 31). Find the midpoint m of 21 (8 + 5i) and 22 Express your answer in rectangular form.
Every time Vince orders Chinese food, he gets egg drop soup. So, he decides to learn how to make it himself. His recipe calls for 1.5 liters of broth, but he can only find 500-milliliter cartons at the store. How many cartons should he buy?
Answer: 3
Step-by-step explanation:
Vince will have to buy three cartons of 500 ml each.
What is expression in mathematics?An expression in mathematics is a combination of terms both constants and variables.
Given is that every time Vince orders Chinese food, he gets egg drop soup. So, he decides to learn how to make it himself. His recipe calls for 1.5 liters of broth, but he can only find 500 milliliter cartons at the store.
We know that -
1 Liter = 1000 milliliters
1.5 liter = 1500 liters
Now -
1 carton 500 ml.
Then, 1 ml will be in (1/500) carton.
So, 1500 ml will be in (1/500 x 1500) = 3 cartons
Therefore, Vince will have to buy three cartons of 500 ml each.
To solve more questions on algebraic expressions, visit the link below -
https://brainly.com/question/27911936
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At a really nice
restaurant, Seiji
wanted to leave a
20% tip for the
outstanding waiter.
The bill was $75.64.
SHOW WORK!!!
Answer:
tip = $15.128
Step-by-step explanation:
tip = 75.64 × 20/100
tip = 1512.8/100
tip = $15.128
Pls help me and thank you!
how important is it to manage depression and stress effectively support your answer
Answer:
its manage to depreciate and that's all
Answer:
Effective stress management helps you break the hold stress has on your life, so you can be happier, healthier, and more productive. The ultimate goal is a balanced life, with time for work, relationships, relaxation, and fun—and the resilience to hold up under pressure and meet challenges head on.
Step-by-step explanation:
These include:
– Exercising regularly and adopting a healthy lifestyle.
– Exploring stress coping programs, which may incorporate meditation, yoga, tai chi, or other gentle exercises.
– Engaging socially.
– Avoiding unnecessary stressors by setting priorities and learning to say “no” to tasks.
Which of the following coordinate pairs make the equation x - 9y = 12 true?
(12, 0)
(0, 12)
(3, -1)
(0, -4/3)
Answer:
first one............
Solve each equation: -5(5x+5)+3(5x+3)=-4x-6x
Answer:
x= -1.118
Step-by-step explanation:
Firstly you need to start with the bracket
-5(5x +5) + 3(5x +3)
=( -25x +25) + (15x +9)
= -25x +25 +15x +9= -4x -6x
secondly you join the like terms together
25+9= -4x -6x +25x -15x
34= -38x
-38x ÷ 34
x= -1.118
Helppppp i need help ASAP
Answer:
a) 10.10 a.m. , (b) 10.20 a.m. which is 10 minutes after sprints start , (c) The students work at 10.50 a.m. , (d) For 60 minutes from 10 a.m. to 11 a.m. which equals to 1 hour
HELP PLEASE!! i need help on A and B. PLEASE DONT ANSWER IF YOU DONT KNOW!!
what is 5 5/7 x 3 1/5?
some pls help I have a couple min left plzz
Harpo, Groucho, Chico, Zeppo, Gummo, Karl, and Skid have won three tickets to the opera. They will randomly choose three people from their group to attend the opera. How many outcomes are possible?
Answer:
35
Step-by-step explanation:
This is a combination problem therefore we need to use the combination formula using factorials, plug in the values for n and r which would be 7 since there are 7 individuals in the group and 3 because we are making outcomes of 3.
C(n,r)=C(7,3)
=7!(3!(7−3)!)
=7!3!×4!
= 35
Finally, we can see that the total number of possible outcomes is 35
Hi, I am very stuck on questions 17 and 18. Can someone help please? Thanks
9514 1404 393
Answer:
17) x = 10√2
18) x = 4√6
Step-by-step explanation:
These problems rely on your knowledge of the side ratios of special triangles
45°-45°-90° triangle: 1 : 1 : √2
30°-60°-90° triangle: 1 : √3 : 2
__
17) 5 is the short side of the isosceles right triangle, so its hypotenuse is 5√2. That length is the shortest side of the 30/60/90 triangle, so its longest side is 2 times that:
x = 10√2
__
18) 8 is the longest side of the 30/60/90 triangle, so its long leg will be 8(√3)/2 = 4√3. The hypotenuse of the isosceles right triangle is √2 times that, so ...
x = (4√3)(√2)
x = 4√6
find f(4) if f(x) = x - 6
I’ll mark brainliest
Complete the statment with the best choice
All trapezoids are also
_________________.
a. squares b. parallelogram c. rectangles d. quadrilaterals
Answer:
d
Step-by-step explanation:
Help me with this!!!!
Well the half point of 427 and 428 is 427.5 so 427.5.
Please help.
Is algebra.
Answer:
Step-by-step explanation:
a solution is where both of the lines meet. or they have the same point on each line. so you can set the equation of each line equal to the other.
for this "solution" just look at the graph and see where the two lines meet.. and find the x coordinate of that point.
I see it meeting at x =2 get it?
what is the circumference of a circle that's radius is 11.8
Answer:
124
Step-by-step explanation:
Answer:
vggx yvhvjvd
Step-by-step explanation:
vhbbgu hg h
Zair has 48 marbles in his pocket. He has 3 more blues than the
yellow ones, and 4 times as many yellows as the red ones. How
many of each colored marble is there?
Answer:
# yellow = 20
# blue = 23
# red = 5
Step-by-step explanation:
let 'r' = # red marbles
let '4r' = # yellow marbles
let '3+4r' = # blue marbles
r + 4r + 3 + 4r = 48
9r + 3 = 48
9r = 45
r = 5
red = 5
yellow = 4(5) = 20
blue = 3+4(5) = 23
Find the area using sine rules.
Answer:
22.44 mi²Step-by-step explanation:
Step 1
Find the missing angle:
m∠H = 180° - (47° + 99°) = 34°Step 2
Find the missing sides by using the law of sines:
sin 34° / 5.9 = sin 47° / HP = sin 99° / HKHP = 5.9 sin 47°/sin 34° = 7.7 miHK = 5.9 sin 99° / sin 34° = 10.4 miStep 3
Use Heron's formula for the area:
A = [tex]\sqrt{s(s - a)(s - b)(s - c)}[/tex], where s is semi-perimeter, and a, b, c - sidesFind s:
s = 1/2(5.9 + 7.7 + 10.4) = 12Find A:
A = [tex]\sqrt{12(12 - 5.9)(12 - 7.7)( 12 - 10.4)}[/tex] = 22.44 mi²Pls help asap I have 10 min left to answer :(
Answer:
A. 1 foot
Step-by-step explanation:
Answer:
your answer will be A.1 foot
Step-by-step explanation:
hope it helps you
have a great day
Use the equation y=2x-5
To find y when x=3z
Answer:
If y = 2x - 5, and x = 3z, then y = 6z - 5
This year a small business had a total of $35,100.If this is 35% more than their total revenue the previous year, what was their total revenue the previous year
Answer:
22,815
Step-by-step explanation:
35% of 35,100 is 12285, then you subtract that from 35,100 to get 22,815. Hope this helps.
Line segment AB has endpoints A(0, 3) and B(2, 2). What is the midpoint of
line segment AB?
Make a conjecture regarding the line joining the midpoint of sides of a triangle
Answer:
A line drawn from the midpoint of one side of a triangle to it's opposite vertex would be an angle bisector of that vertex.
Step-by-step explanation:
Pls tell me which square unit :(
Answer:
8
Step-by-step explanation:
If I am doing this correctly you count all the dots the triangles lines are on. Which is 8 to find the area. Hope it helped have a wonderful day!
Samantha earns $8 p;er hour as a cashier. Write an equation that shows her earnings (E) after 'h' hours
Answer:
E=8h
Step-by-step explanation:
Becuase the earings equal the $8 times the amount of hours she worked.
This is a sketch of the curve with equation y = f(x).
The vertex of the curve is at (2, -3)
V
X
(2, -3)
Write down the coordinates of the vertex of the curve with equation
a) f(x + 7)
b) f(-x)
I’m
Answer:
We have to use the formule to calculate the vertex which is: V(-b/2a;4ac-b^2/4a)
A) y=x+7 where a=1 b=0 and c=7
By replacing we have: V(0;28/4) V(0;7)
B) y=-x where a=-1 b and c=0 so V(0,0)
Please help due today I will give brainliest!
Find the slope of the line that passes through each pair of points
2. (0,1), (1,-2)
3. (2,5), (3,6)
4. (6,1), (-6,1)
5. (4,6), (4,8)
6. (5,2), (5,-2)
7. (2,5), (-3,-5)
8. (9,8), (7, -8)
9. (-5,-8), (-8,1)
10. (-3,10), (-3,7)
11. (17,18), (18,17)
12. (-6,-4), (4,1)
13. (10,0), (-2,4)
14. (2,-1), (-8,-2)
15. (5,-9), (3,-2)
16. (12,6), (3,-5)
17. (-4,5), (-8,-5)
18. (-5,6), (7,-8)
Answer:
Step-by-step explanation:
2. (-2-1)/(1-0)= -3/1 = -3
3. (6-5)/(3-2)= 1/1= 1
4. (1-1)/(-6-6)= 0/-12= 0
6. (-2-2)/(5-5)= -4/0 = undefined
5. (8-6)/(4-4)= 2/0 = undefined
7. (-5-5)/(-3-2)= -10/-5= 2
8. (-8-8)/(7-9)= -16/-2= 8
9. (1+8)/(-8+5)= 9/-3= -3
10. (7-10)/(-3+3)= -3/0= undefined
11. (17-18)/(18-17)= -1/1= -1
12. (1+4)/(4+6)= 5/10 = 1/2
13.(4-0)/(-2-10)= 4/-12 = -1/3
14. (-2+1)/(-8-2)= -1/-10= 1/10
15. (-2+9)/(3-5)= 7/-2= -7/2
16. (-5-6)/(3-12)= -11/-9= 11/9