A family is purchasing a house and needs to finance a $195,000 mortgage from the bank with an annual percentage rate (apr) of 5.3%. the family is financing it over 30 years and making monthly payments. what is the monthly payment?
The monthly payment of the family is $1082.84.
Value of the mortgage P= $195,000
Annual Percentage Rate APR= 5.3%
Time n = 30 years = 360 months
What is the formula for monthly payment or EMI?Monthly Payment = [tex]\frac{Pr(1+r)^n}{(1+r)^n-1}[/tex]
Where P = Amount of Mortgage
r = monthly rate of interest
n = tenure in months.
Put P = $195,000
r = APR/12= 5.3%/12
n = 360
So, EMI = $1082.84
Therefore, The monthly payment of the family is $1082.84.
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9.
SHORT RESPONSE Compare the surface area
of the figures. Justify your answer.
5 cm
6 cm
6 cm
20 cm
3 cm
3 cm
Answer:
7.16666666667
Step-by-step explanation:
5+6+6+20+3+3=43
43/6 because their are 6 numbers
43/6=7.16666666667
and 7.16666666667 simplified is 7.16
Graph circles A and B in the coordinate plane. circle A with center at (0,0) and radius of 6,circle B with center at (-4,-2) and radius of 4.
A circle can be represented as an equation or on a graph
The equations of the circles are [tex]x^2 + y^2 = 36[/tex] and [tex](x + 4)^2 + (y + 2)^2 = 16[/tex]
How to graph the circlesThe equation of a circle is represented as:
[tex](x - a)^2 + (y - b)^2 =r^2[/tex]
Where:
Center = (a,b)
Radius = r
For circle A, we have the equation to be:
[tex](x - 0)^2 + (y - 0)^2 =6^2[/tex]
[tex]x^2 + y^2 = 36[/tex]
For circle B, we have the equation to be:
[tex](x + 4)^2 + (y + 2)^2 =4^2[/tex]
[tex](x + 4)^2 + (y + 2)^2 = 16[/tex]
Hence, the equations of the circles are [tex]x^2 + y^2 = 36[/tex] and [tex](x + 4)^2 + (y + 2)^2 = 16[/tex]
See attachment for the graphs
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Answer:
A. (green)
x2 + y2 = 36
B. (orange)
(x + 4)2 + (y + 2)2 = 16
Step-by-step explanation:
Have an AWESOME day
Love yaa
-NaomiTheGenius
Help Solve the equation
Answer:
32
Step-by-step explanation:
32 x 8=4 and 4+12=16
Answer:
x = 32
Step-by-step explanation:
x/8 + 12 = 16
x/8 = 4
x = 32
HELPPP PLSSS HURRYY (100 points)
Answer:
it should be the 2 second one
Step-by-step explanation:
Answer:
B. Line segment CD is congruent to Line segment XY
Step-by-step explanation:
5
1.
10. Simon and Micah both made notes for their test on right triangles.
They noticed that their notes were different. Who is correct? Explain.
Simon
Micah
4545-90
45°-45-90°
30-60-90
30
30-60-90
30°
o
45
45
XV
2x
XV3
X
V2
the Pythago....
#
45
60°
45
60"
x
+
V2
The sum of angles in a right angled triangle is 180°, where as Pythagoras theorem can be used to determine the sides of a right angled triangle.
What is a right angled triangle?A right angled triangle is a triangle with one angle that measures 90 degrees. The sum of angles in a triangle is 180 degrees.
Pythagoras theorem states that:
hypotenuse² = adjacent² + opposite²
The sum of angles in a right angled triangle is 180°, where as Pythagoras theorem can be used to determine the sides of a right angled triangle.
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(K12) Interim Checkpoint: Grade 8 Checkpoint 4 - Part 1 answers:
1: Rectangle / 10
2: Triangle
3: 91. 125
4: Not valid / There is bias because of the location
5: Gold
6: Rectangle
7: 132. 54
8: 1,205. 62
9: 13. 4
10: 145. 5
11: 50 randomly selected users of the center's facilities
12: More teens play soccer than any other sport
13: Greater than / A
14: A typical guest at Party 1 was younger than a typical guest at Party 2, and guests' ages were more variable at Party 1 than at Party 2
15: About the same / Do not tend to
16: Not correct / 21%
17: 208
18: On average, 15- to 16-year-olds spend a few hours more on the Internet each week compared to 13- to 14-year-olds / The amount of time that 15- to 16-year-olds spend on the Internet each week is more variable than the amount time 13- to 14-year-olds spend
19: Can't / Similar
20: 2 resorts are about the same
simillar
Step-by-step explanation:
the similar is example for the math condition an help to provide the people and that beatifull answer and brainly part
The owners of an amusement park charge an admission fee, c, in dollars for children and an admission, p, in dollar for adults. They sold 500 child tickets and 800 adult tickets. Enter an equation that represents the total amount in dollars, t, collected from sale of tickets
Answer:
t = 500c + 800p I hope this helps
A person places $84800 in an investment account earning an annual rate of 4. 1%,
compounded continuously. Using the formula V = Pert, where Vis the value of
the account in t years, P is the principal initially invested, e is the base of a natural
logarithm, and r is the rate of interest, determine the amount of money, to the
nearest cent, in the account after 4 years.
[tex]~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$84800\\ r=rate\to 4.1\%\to \frac{4.1}{100}\dotfill &0.041\\ t=years\dotfill &4 \end{cases} \\\\\\ A=84800e^{0.041\cdot 4}\implies A=84800e^{0.01025}\implies A\approx 85673.67[/tex]
The amount that will be in the account after 4 years is $99912.57
Exponential functionsThe standard expoenential functions is expressed as:
V . = Pe^rt
Given the following
P = $84800
r = 4.1% = 0.041
t =4years
Substititute
V = 84800e^4(0.041)
V = 84800e^0.164
V = $99912.57
Hence the amount that will be in the account after 4 years is $99912.57
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solve: x+y=3 2x+3y=7
I need this answer fast
Answer:
If you were to make these two equations in slope intercept form, here's what it would be like;
First the formula for slope intercept form is, y = mx + b
where m represents the slope and b is the y intercept(where the line meets the y axis)
First equation;
x + y = 3
we need to isolate y so we subtract x from both sides
-x -x
y = -x + 3 (we put the -x before the 3 because that's how the formula is formatted)
Second equation;
2x + 3y = 7
Isolate y by subtracting 2x away from both sides
-2x -2x
3y = -2x + 7, y is not fully isolated because it has a coefficient and it's supposed to be just y, so we divide both sides by 3:
/3 /3
y = -2/3x + 2 1/3
Answer now will give brainless
The volume of this right prism is 240.5 ft³. What is the height, x, of the prism? Enter your answer as a decimal in the box.
Answer:
7.4 is the correct answer
Step-by-step explanation:
Height 'x' of the given right prism is 7.4 feet.
Volume of right prism:What information do we have?
Height of base = 5 ft
Length of first parallel line = 5 ft
Length of Second parallel line = 8 ft
Volume of prism = 240.5 ft³
Volume of prism = Area of base × height
Volume of prism = (1/2)(sum of parallel line)(Height) × height
240.5 = (1/2)(5+8)(5) × height
240.5 = (1/2)(13)(5) × height
240.5 = 32.5 × height
Height of prism = 7.4 feet
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Which of the following lengths can be expressed in two ways: square root of 5, square root of 10, square root of 18
Answer:
I thank it would be 10 and 5
Step-by-step explanation:
I hope this helps
Pat and Julie share some money in the ratio 2:5 Julie gets £45 more than Pat. How much money did Pat get? (show working please if you can thanks)
Answer:
4.58cm
Step-by-step explanation:
mark me brainliest!!
The high school is hosting an event for seniors but will also allow some juniors to attend. The principal approved the event for 200 students and decided the number of juniors should be 25% of the number of seniors. How many juniors will be allowed to attend? If you get stuck, try writing two equations that each represent the number of juniors and seniors at the event.
Answer:
Hey my encanto pe.eps! FR.EE POI.NTS FOR THOSE WHO CRI.ED DURING ENCANTO!!!!
(for scho.ol) What is the best primary paint for a 20'' bed.room?
Answer:
160 seniors and 40 juniors
Step-by-step explanation:
A farmer sells 8.9 kilograms of pears and apples at the farmer's market.
3
4
of this weight is pears, and the rest is apples. How many kilograms of apples did she sell at the farmer's market?
Answer:
2.225 kg
Step-by-step explanation:
We know that the total weight the farmer sold was 8.9 kilograms.
- 3/4 of this weight is apples, and the rest is pears.
Therefore, to calculate the amount of kilograms of pears she sold at the farmer's market (which you can call x), you need to apply the following procedure.
The kinetic energy of an object is given by:
Kinetic energy = 1/2 * mass * velocity²
If the kinetic energy of the pendulum at the top of its swing is 0, then this tells us that the velocity of the pendulum at that point is 0. All of the kinetic energy is converted to potential energy, and the pendulum starts moving in the opposite direction after this point in time.
Answer:
TYSM!! I wanted to know how to calculate the kinetic energy of an object for so long!
A pendulum at the top of its swing, when it stops moving does not have any speed and therefore it has no kinetic energy.
What is kinetic energy?Kinetic energy is the energy an object has because of its motion. If we want to accelerate an object, then we must apply a force.
Given that, Kinetic energy = 1/2 × mass × velocity²
If the kinetic energy of the pendulum at the top of its swing is 0, then this tells us that the velocity of the pendulum at that point is 0.
Here, mass m = 0, This shows that the pendulum has no mass and
velocity (v) = 0 meaning the velocity is zero, it is stopped at once.
The velocity that is moving one way or direction can be said to be in a positive direction or positive velocity.
It does slows down when it reaches the top of its swing then move again back to the opposite direction making it to move in the opposite or negative direction with negative velocity. This make a positive velocity and a negative velocity which has pass through to be zero.
Therefore, a pendulum at the top of its swing, when it stops moving does not have any speed and therefore it has no kinetic energy.
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What is the measure of angle y?
Answer:
The measure of angle y is 43
Step-by-step explanation:
Which of the following is equal to the rational expression when x = -2 or -1?
A. x-2/x+1
B. x+2/x+1
C. x^2-4/x+1
During lunch, Julio drinks 2 3/4 cups of milk. Alan drinks 3/8 cups of milk. Fernando drinks 1 1/6 cups of milk. How much milk do the 3 gentleman drink
Population (thousands) Land Area (square miles) Total Income (billions of dollars)
159.2 1,536.7 4.8
Determine the per capita income for this county. Round to the nearest cent.
The per capita income is the ratio of the total income to the population
The per capita income of the county is $30150.75
How to determine the per capita incomeThe given parameters are:
Population = 159.2 thousand
Land area = 1,536.7 square miles
Total income = $4.8 billion
The per capita income is then calculated as:
Per capita income (p) = total income /population
So, we have:
[tex]p = \frac{\$4.8\ billion}{159.2\ thousand}[/tex]
Evaluate the quotient
[tex]p = \$30150.75[/tex]
Hence, the per capita income of the county is $30150.75
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hello people ~
Find the area of a rectangular blackboard whose length and breadth are 120 cm and 100 cm, respectively.
Answer:12,000cm^2
Step-by-step explanation:
please answer the problem in the picture below will mark first correct answer brainliest
Answer:
6x+2y=8
Step-by-step explanation:
We can multiply both sides of the equation by 3 to get 6x+2y=8.
(Note there is more than one possible answer, you could've multiplied both sides by any number.)
A lender will verify and carefully consider your income before approving you for a loan because _____. A. They need to be sure you will be able to pay the loan back b. Government restrictions require a minimum salary to be approved for a loan c. Loan applicants with higher salaries are generally more trustworthy than other applicants d. They need to be sure you make at least the minimum payment for the loan you applied for Please select the best answer from the choices provided A B C D.
They need to be sure you will be able to pay the loan back. Then the correct option is A.
What is decision-making?The process of making choice is by identifying the correct decision, gathering information, and assessing alternative solutions.
A. They need to be sure you will be able to pay the loan back. This is correct.
B. Government restrictions require a minimum salary to be approved for a loan. This is incorrect.
C. Loan applicants with higher salaries are generally more trustworthy than other applicants. This is incorrect.
D. They need to be sure you make at least the minimum payment for the loan you applied for. This is incorrect.
A lender will verify and carefully consider your income before approving you for a loan because they need to be sure you will be able to pay the loan back.
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Meg is heading back to her car after a hike to Misty Falls. The waterfall is at an elevation of
4,000 feet, and the trail descends an average of 500 feet for every 1 mile she hikes. You can
use a function to approximate Meg's elevation after she hikes x miles.
write and equation for the function, if it is linear, write the form h(x)=mx+b, if it is exponential, write it in the form h(x)=a(b)^x
The linear function is given by h(x) = -500x + 4000
What is a linear equation?
A linear equation is in the form:
y = mx + b
Where y,x are variables, m is the rate of change and b is the initial value of y.
Let h represent the elevation after hiking x miles.
The waterfall is at an elevation of 4,000 feet, hence b = 4000
The trail descends an average of 500 feet for every 1 mile she hikes, hence m = -500
The linear function is given by:
h(x) = -500x + 4000
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HELP! which parallelogram has the greater area?
Solve for g g/2 + 10 = 14
Q1: The temperature outside dropped 13°F in 7 hours.
The final temperature was -2°F. What was the starting temperature?
Answer:
11
Step-by-step explanation:
To get the answer, we need to add 13 to -2.
First, we need to add 2 to -2 to get it to 0.
Now we add 11 to zero to get 11.
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP MEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE PLSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS
Answer:
least to greatest
7607
49470
591429
864464
Step-by-step explanation:
PART 2 OF ME ASKING FOR HELP
Answer:
C
Step-by-step explanation:
Since the angles are congruent, that means that they are equal to each other.
this would mean that the binomial, 5x+2, is equal to 32.
5x + 2 = 32.
Now just solve for x.
5x = 30
x = 6.