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
Anita collects shells and stones in a ratio of 1:2.
If she has a total of 8 shells how many stones does she have
Answer:
The answer is 16 stones
Step-by-step explanation:
It's 8:16 because
8/1 = 8
and
2 x 8 = 16
To check your answer to see if its correct :
1/2 = 2
16/2=8
Hope this helps!! ;)
I need this ASAP:
Find the volume
Please help me with this I will make you brainlist if you respond with no links and fully! Do NOT steal points.
Answer: 6782.4 ft is your answer
Step-by-step explanation:
Answer: 6785.84
Step-by-step explanation:
Volume of a cylinder is [tex]\pi r^{2}h[/tex]
So solve both cylinders to get
20357.52
13571.68
Subtract to get the difference
6785.84
How many feet are in 2,241 inches? (Note: 1 foot = 12 inches)
Group of answer choices
Answer:
186.75 feet in 2,241 inches
Step-by-step explanation:
Answer:
186.75 Feet.
Step-by-step explanation:
How many different committees can be formed from 12 teachers Abs 43 students of the committee consists of 4 teachers and 3 students ? In how many ways can the committee of 7 members be selected ?
Answer:
6108795
Step-by-step explanation:
To obtain the number of ways the committee can be selected :
4 teachers from the 12 teachers available and 3 students from the 43 students available
Using combinatorics :
12C4 * 43C3
recall :
nCr = n! ÷ (n - r)!r!
Using calculator :
12C4 = 495
43C3 = 12341
12C4 * 43C3
495 * 12341
= 6108795
Question 10. The length of a rectangular field is 65 meters. its width is 35
meters. Johnny ran around the field 4 times. How far did she run? *
O A 400 meters
B 760 meters
C 600 meters
D 800 meters
It's might be answer C but im not sure :\
inverse function. sketch the graph of each function.
Answer:
I cant see picture
Step-by-step explanation:
(D)
28
3.
The Hill family rented a car for the weekend. The rental agency charged a weekend fee of $35.00 and
$0.12 per mile. Their final bill was $44.36. Which equation could be used to discover how many miles the
family drove?
012
Answer:
d I think please be right
In a class, there are twice more boys than girls. Six boys leave the class and six girls arrive ;
therefore, there are twice more girls than boys .
How many boys and girls were there at first ?
please show calculations steps plus this should be solved as a system
Answer:
Boys= 12
Girls= 6
Step-by-step explanation:
Let no: of girls be 'x'
No: of boys= 2x
boys after= 2x-6
girls after = x+6
according to the question,
2(2x-6)=x+6
4x-12=x+6
3x=18
x=6
No: of girls at first= 6
No: of boys at first=2*6=12
Mike is catering a party. He plans on having 4 trays of 5 appetizers each on the buffet at the beginning of the party and will rotate in new trays as those become empty. To ensure that he does not run out of appetizers during the party, he is going to make 2 appetizers per person in addition to the initial number put out on the buffet. Which of the following represents A, the amount of appetizers Mike needs to make, in terms of p, the amount of people attending the party?
Answer:
A = 20 + 2p
Step-by-step explanation:
help me pls!!!!!!!!!!!
Answer:
Step-by-step explanation:
Rate of decrease = 3% = 0.03
Number of decreased employees = Current number of employees * rate of decrease * number of years
= 810 * 0.03 * 16
= 388.8
= 389
Number of employees = 810 - 389 = 421
A square pyramid was sliced perpendicular to its base but not through its vertex. What is the shape of the cross section shown in the figure?
A rectangular pyramid. The cross section is a trapezoid.
a parallelogram that is not a rectangle or square
a rectangle that is not a square
a square
a trapezoid
Answer:
a trapezoid
Step-by-step explanation:
Answer:
D: Trapezoid.
Step-by-step explanation:
Because you can see that the shape has only one set of parralel sides it is a trepezoid.
Jake's parents want $100,000 at the end of 40 years. They put their money in an account that yields 4% per year compounded continuously. How much money should jakes parents deposit?
Answer:
$ 20,189.65
Step-by-step explanation:
Jake's parents want $100,000 at the end of 40 years. They put their money in an account that yields 4% per year compounded continuously. How much money should jakes parents deposit?
From the above question, we are to find the Principal. The formula for Principal compounded continuously =
P = A / e^rt
Where:
A = Amount after time t = $100,000
r = Interest rate = 4%
t = Time in years = 40 years
First, convert R percent to r a decimal
r = R/100
r = 4%/100
r = 0.04 per year,
Then, solve our equation for P
P = A / e^rt
P = 100,000.00 / e ^(0.04×40)
P = $ 20,189.65
Therefore, the amount Jake's parents should invest = $ 20,189.65
Plz check theses aswell
Answer:dont worry :) its right! hit enter!
Step-by-step explanation:
Answer:
Step-by-step explanation:
w' = (1, - 1 ) check
C' = ( 4, 2 ) check
1 Katie is raising money to buy
a dog. She starts a
neighborhood babysitting service.
She paid $40 for a CPR class and
charges $5 per kid. Write an
equation she could use to calculate
her profit, p, if she has k kids.
O p = 5k - 40
P = 5k + 40
O p = 40k + 5
k = 40p - 5
Answer:
p = 5k - 40
Step-by-step explanation:
Since we're finding the profit (p), it's not the last answer choice because it's finding kids (k).
Because we have to take out from her profit whatever Katie spent, we would have -40.
Because she'd charging $5 per kid, or $5 per k, we would have 5k.
So now we know the profit is whatever she makes, then minus whatever she spent. So:
p = 5k (what she makes) - 40 (what she spent)
p = 5k - 40
Answer:
O p = 40k + 5
Step-by-step explanation:
Katie is raising money to buy a dog. She starts a neighborhood babysitting service.
asap please help i really need it
Answer:
x ≈ 261 ft
Step-by-step explanation:
Using the sine ratio in the right triangle
sin50° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{200}{x}[/tex] ( multiply both sides by x )
x × sin50° = 200 ( divide both sides by sin50° )
x = [tex]\frac{200}{sin50}[/tex] ≈ 261 ft ( to the nearest foot )
x ≈ 261 ft
that is the answer
Solve 8 = 2^x + 4
x=-4
x=-1
x=0
x=7
Answer:
x=-1
Step-by-step explanation:
because 2^3 is 8
and when you do -1+4 you get left with 3
so x=-1
Answer:
x = -1
Step-by-step explanation:
PLS HELP (AGAIN) ILL MARK BRAINLIEST. I HAVE TO TURN THIS IS ASAP
Step-by-step explanation:
A diameter spans from one end of (in this case, a circle) to the direct opposite end, going through the center-point. The radius, on the other hand, is half of a diameter, and spans only from the center-point to a point on the circle.
In this case:
1) Diameter = 18 km (given)
Radius = 18/2 = 9 km
2) Diameter = 1 x 2 = 2 m
Radius = 1 m (given)
3) Diameter = 17 x 2 = 34 cm
Radius = 17 cm (given)
4) Diameter = 50 mm (given)
Radius = 50/2 = 25 mm
John has a swimming pool, in which the center of the pool to the edge is 3 meters. What is the diameter? Simply multiply 3 with 2:
3 x 2 = 6 meters
6 meters is the diameter.
The table shows the results of a survey of seventh-grade students in the lunch-line
CHART:
Drink / Students
Chocolate Milk / 15
Soda / 12
Milk / 6
Water / 2
If there are 245 seventh-graders in the school, how many can be expected to prefer chocolate milk?
A: 45
B: 84
C: 90
D: 105
Answer:
D
Look at the picture. :)
105 can be expected to prefer chocolate milk
How to Solve the Problem?The problem can be solved in following steps.Survey of seventh-grade students in the lunch-line is given in chart.We need to calculate the expected students to prefer chocolate milk
Let the expected students be x
Calculate the total students = 15+12+6+2 = 35
The expected students prefer milk is
15/35 = x/245
245*15=35x
3675 = 35x
x = 3675 / 35
x = 105
Hence 105 students are expected to prefer chocolate milk .
Learn more about Surveys
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A penguin walks 10 feet in 6 seconds. At this speed how far does the penguin walk in 45 seconds?
Answer:
The penguin will walk 75.15 feet in 45 seconds. It will take the penguin 26.95 seconds to walk 45 feet
Step-by-step explanation:
hope it helps !
Answer: 75 feet
Step-by-step explanation:
6
Solve the system of equations.
-3x +y = 2
70 – 8y = 1
Solution:
y =
Answer:
x = -1, y = -1.
Step-by-step explanation:
-3x +y = 2
7x – 8y = 1
We can use the elimination method to solve these:
Multiply the first equation by 8:
-24x + 8y = 16
Now add this to the second equation:
-17x -8y + 8y = 17
-17x = 17
x = -1.
Plug x = -1 into the first equation:
-3(-1) + y = 2
3 + y = 2
y = -1.
what is 9-3 divied by 1/3 + 1 =
Answer:
1
Step-by-step explanation:
3 divided by 1/3 is 9, and 9-9=0
0+1=1
1
Step-by-step explanation:
solve this equation graphically using table 5m-2n=4,m-4n=-1
Answer:
m = 1; n = 0.5
Step-by-step explanation:
5m - 2n = 4; m - 4n = - 1
solve for h in the literal equation g(h+3/2)=5
Answer: h= 5/g−3/2
Step-by-step explanation:
h= 5 over g minus 3 over 2
Answer:
[tex]h\neq -3/2[/tex]
Step-by-step explanation:
Divide both sides by h+3/2;
g(h+3/2)/h+3/2=5/h+3/2
simplify
g=10/2h+3; h[tex]\neq[/tex]-3/2
5+ 2 1/2 + 7 1/2 + 2 1/2+ 7 1/2 +5=
Answer:
its 30.
Step-by-step explanation:
that's all I know.
Which point is on the graph of a direct variation equation in which k = 0.4?
A) (10, 0.04)
B) (4, 10)
C) (10, 4)
D) (0.04, 10)
It costs $32 per day to rent a medium-sized car, plus $0.25 for each mile driven over 150 miles. The equation that represents this situation is y = 0.25x + 32, where y represents the total cost of renting a car, and x represents the number of miles driven over 150 miles.
a.) What is the slope and what does it represent in the context of this problem?
b.) What is the y- intercept and what does it represent in the context of this problem?
Answer:
Read explanation
Step-by-step explanation:
A)The slope is the number before the X so 0.25, this represents the amount of money people have to pay for each mile driven over 150 miles.
B) The y-intercept is the number after the X so 32, this number represents the amount people have to pay rent the car before actually using it.
how to calculate the Triangle Proportionality Theorem
Step-by-step explanation:
If a line parallel to one side of a triangle intersects the other two sides of the triangle, then the line divides these two sides proportionally.
Solve for x:
5x - 3y = 22
10x - 4y = 46
Answer:
x=5, y=1
Step-by-step explanation:
Isolate x for 5x-3y=22
5x-3y=22
Add 3y to both sides
5x-3y+3y=22+3y
Simplify
5x=22+3y
Divide both sides by 5
5x/5=22/5+3y/5
Simplify
x=22+3y/5
Substitute x=22+3y/5
10*22+3y/5-4y=46
Simplify 10*22+3y/5-4y
10*22+3y/5=2(3y+22)
=2(3y+22)-4y
Expand 2(3y+22)
=6y+44-4y
Simplify 6y+44-4y
=2y+44
Isolate y for 2y+44=46
2y+44=46
Subtract 44 from both sides:
2y+44-44=46-44
Simplify
2y=2
Divide both sides by 2;
2y/2=2/2
Simplify;
y=1
For x=22+3*1/5 substitute y=1
y=22+3*1/5
22+3*1=25
=25/5
Divide the numbers;25/5=5
=5
x=5
The solutions to the system of equations are;
x=5, y=1
Simplify (y+1)+4
Help
Answer:
y+5
Step-by-step explanation:
Answer: y+5
Step-by-step explanation:hope this help
