The monthly payment for this difference would be $1,361.21. An Adjustable Rate Mortgage (ARM) is a type of mortgage in which the interest rate on the loan changes over time.
An Adjustable Rate Mortgage (ARM) payment is based on various factors such as the loan amount, interest rate, and the terms of the ARM. The interest rate is usually tied to a specific financial index, such as the U.S.
Here is the calculation format for the difference in payments between year 2 and year 3 for Bart and April's mortgage:
Total amount to be paid for the mortgage: $315,000
Rate of interest: 5.85% (Depreciating rate)
Time = 2 years:
a. Remaining amount to be paid after 2 years:
Principal × (1 - Rate/100)^time
= $315,000 × (1 - 5.85/100)²
= $315,000 × (1 - 0.0585)²
= $279,223.01
Time = 3 years:
a. Remaining amount to be paid after 3 years:
Principal × (1 - Rate/100)^time
= $315,000 × (1 - 5.85/100)³
= $315,000 × (1 - 0.0585)³
= $262,888.46
Difference in payments from year 2 to year 3:
= Remaining amount after 2 years - Remaining amount after 3 years
= $279,223.01 - $262,888.46
= $16,334.55
The monthly payment for this difference would be $1,361.21, which is calculated by dividing the difference in payments by 12:
$16334.546/12 = $1361.21
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What is the laterral surface area?
Answer:
In other words, the surface area is the sum of all the areas of all the shapes that cover the surface of the object. On the other hand, the lateral surface area refers to the area of the sides of a shape , excluding its base and top area.
Step-by-step explanation:
please help me i can give brainliest!
If the mean and the median of a set of data is 25, is the data skewed left, skewed right, or symmetrical.
Answer:
skewed left
Step-by-step explanation:
What is the value of x?
Answer:
130
Step-by-step explanation:
180-70=110
110+20=130
A bag drawing contains 2 red balls and18 green a ball is chosen at random from the bag
Probability of drawing a red ball:
Total number of balls = 2 + 18 = 20
number of red balls = 2
number of green balls = 18
total number of favourble outcomes = 2
probability = number of favourable outcomes/number of total outcomes.
= 2/20 = 1/10
Therefore probability of drawing a red ball is 1/10.
Probability of drawing a green ball:
total number of balls = 2 + 18 = 20
number of green balls = 18
number of red balls = 2
total number of favorable outcomes = 18
probability = number of favourable outcomes/number of total outcomes.
= 18/20 = 9/10
Therefore probability of drawing a green ball is 9/10.
please help!! no files!!! i’ll mark you brainliest if you can explain your answer!!!!
Answer:
a = 1.5
VW = 9 ft
Step-by-step explanation:
Since the tangent lines connect both circles, we know that the line VU and VX are congruent (equal). Thus, we can set them equal to each other and solve for a:
a + 4 = a² + 0.25 Set equal
a² - a = 3.75 Isolate a values
a² - a + 0.25 = 3.75 + 0.25 Complete the square
(a + 0.5)² = 4 Factor
a + 0.5 = 2 Simplify
a = 1.5
Now we need to calculate VW, but thats easy because its equal to TV, and since we know a, we can just plug it in:
((1.5) + 7.5) ft
9 ft
HELP ME PLEASE, ILL GIVE BRANILIST FOR THE BEST CLEAR ANSWER :
William has a new puppy that has completely destroyed the carpet in his living room. If he wants to replace the carpet in the room, which is the best measure?
a
surface area
b
area
c
volume
Answer:
C. Area
hope this helped
Write the ratio, Explain what the ratio means . 6 basketballs to 4 soccer balls
Answer:
6:4
This ratio means that for every 6 basketballs there are 4 soccer balls.
please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!
Answer:
89/80
Step-by-step explanation:
cos = adjacent/hypotenuse
Answer:
80/89
Step-by-step explanation:
Can someone help on this?
Answer:
x=0 and y=36
Step-by-step explanation:
30 + 6 equals 36 but it is negative so you would add 30 to negative thirty to get to zero and go into the positive numbers. So if you add 6 more you would have positive 6. so it it 36 y is 36
The scatter plot shows the winning times, in minutes, in a track event over eight consecutive years.
Scatter plot with x axis labeled Time in Years and y axis labeled Winning Time, with points at 1 comma 5 and 4 tenths, 2 comma 5, 3 comma 4 and 6 tenths, 4 comma 4 and 9 tenths, 5 comma 4 and 1 tenth, 6 comma 3 and 9 tenths, 7 comma 3 and 6 tenths, and 8 comma 3 and 3 tenths.
Predict the winning time in year 10 of the race.
1.52 minutes
1.98 minutes
2.83 minutes
3.01 minutes
The predicted winning time in year 10 of the race is 2.83 minutes.
How to obtain the equation for the line of fit?The equation for the line of fit is obtained inserting the points of the data-set into a linear regression calculator.
Given:
From the scatter plot, the points are given as follows:
(1, 5.4), (2, 5), (3, 4.6), (4, 4.9), (5, 4.1), (6, 3.9), (7, 3.6), (8, 3.3).
Inserting these points into the linear regression calculator, we get
y = -0.29x + 5.67.
Now, for x= 10 year
y = -0.29(10) + 5.67 = 2.77 minutes.
which is closest to 2.83 minutes.
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The right triangle represents a sketch of a wheelchair ramp that meets safety requirements. What is the horizontal distance required for the ramp? Round your answer the nearest tenth
The horizontal distance required for the ramp is 143.5 inches
Consider the following figure.
In right triangle ACB, CB is the horizontal distance,
hypotenuse AB = 144 in.
and the vertical distance AC = 12 in.
We need to find the measure of side CB
Let m be the measure of the horizontal distance CB
Using Pythagoras theorem for right triangle ACB,
(AB)² = (AC)² + (CB)²
Substitute given values in above equation.
(144)² = (12)² + (m)²
20736 = 144 + m^2
20736 - 144 = 144 + m^2 - 144
20592 = m^2
m^2 = 20592
m = 143.5 in.
Therefore, the horizontal distance is 143.5 in.
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Find the area of the circle .Round your answers the nearest whole number if necessary.use 3.14 or 22/7
Please help
geometry stuff pls help
Answer:
Step-by-step explanation:
SQR-PRQ-SRP
SP/RP=RP/PQ
QP/QR=RQ/SQ
# of faces?
# of edges?
# of vertices?
HELP (links= report)
Step-by-step explanation:
Face is 5 the edges is 10 the vertices is 12
Tell whether 30 is divisible by 2
Answer: Yes
Step-by-step explanation
Since the number being divided has a 0, it can be divided by 2
PLEASE HURRY 100 POINTS
Which expression represents the total surface area, in square meters, of the rectangular pyramid below?
A rectangular pyramid. The rectangular base has a length of 27.6 meters and height of 18.4 meters. 2 triangular sides have a base of 27.6 meters and height of 17.6 meters. 2 triangular sides have a base of 18.4 meters and height of 20.4 meters.
(18.4) (27.6) + 2 ((18.4) (20.4)) + 2 ((27.6) (17.6))
(18.4) (27.6) + 2 ((18.4) (22.4)) + 2 ((27.6) (22.4))
(18.4) (27.6) + 2 (one-half (18.4) (20.4)) + 2 (one-half (27.6) (17.6))
(18.4) (27.6) + 2 (one-half (18.4) (22.4)) + 2 (one-half (27.6) (22.4))
A parabola can be represented by the equation x2 = -
20y.
What are the coordinates of the focus of the parabola?
O(-5,0)
O (5,0)
0 (0,5)
0 (0,-5)
Answer:
( 0 , -5 )
Step-by-step explanation:
The coordinates of the focus of the parabola is at (0, -5)
How to find the focus of a parabolaThe standard formula of a parabola is given as:
y² = 4ax
Given a parabola represented by the equation x² = -20y
Determine the focus
The standard equation of the parabola facing downward is 4p(y-k)=(x-h)^2 where (h, k) is the focus.
Comparing with the given equation, the focus will be at (0, -5)
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When dad got the bill at the restaurant, it gave the cashier a coupon for 15% off his entire order. How much was the bill after the coupon
Answer:
This doesnt give enough things to answer
Yoshi is standing on top of a building, looking at a park in the distance. The angle of depression is
53°. If the building he's standing on is 100 feet tall, how far away is the park to the nearest
hundredth of a foot?
105
53°
Park
100
Step-by-step explanation:
because after 105 it's 100
Consider y =f(x)=-3x+2 . Using space below, determine the equation that represents the inverse f(x)
Answer: [tex]f^{-1}(\text{x}) = \frac{2-\text{x}}{3}[/tex]
Explanation:
Swap x and y, then solve for y to get the inverse.
[tex]f(\text{x}) = -3\text{x}+2\\\\\text{y} = -3\text{x}+2\\\\\text{x} = -3\text{y}+2\\\\\text{x}-2 = -3\text{y}\\\\\text{y} = \frac{\text{x}-2}{-3}\\\\\text{y} = \frac{2-\text{x}}{3}\\\\f^{-1}(\text{x}) = \frac{2-\text{x}}{3}\\\\[/tex]
If you divide 6! by 4! you are evaluating
P(6.4)
P(4, 6)
P(6. 2)
HELP! will give brainliest if you show work on how to get this answer below!
Solve for x. Check for extraneous solutions.
2+ sq root (x+18)=x
answer should be:
7(-2 is extraneous)
Kekskekeke
Step-by-step explanation:njbnmmk
Answer:
It should be 7! :)
Step-by-step explanation:
Isolate the radical, then raise each side of the equation to the power of its index.
HELP PLS
What is the perimeter of the triangle?
Answer:
[tex]p=48 ~units[/tex]
Step-by-step explanation:
[tex]x^2=12^2+9^2[/tex]
[tex]x^2=144+81[/tex]
[tex]x^2=2225[/tex]
[tex]x=15[/tex]
[tex]p=15+15+18[/tex]
[tex]p=48 ~units[/tex]
-----------------------
hope it helps...
have a great day!!
Answer:
p=48 units
Step-by-step explanation:
hope it helps..
Please, answer this one. Thank you!
Answer:
3
Step-by-step explanation:
Since LM = 9 and ST = 6 and those are corresponding sides, the ratio of any side from [tex]\triangle{PLM}[/tex] and its corresponding side from [tex]\triangle{UST}[/tex] is 9 to 6 which can be expressed as the fraction 9/6 or 3/2.
LQ and SR are corresponding segments, so set up two ratios.
[tex]\frac{LQ}{SR}=\frac{3}{2}\\\\\frac{x-1}{x-2}=\frac{3}2}[/tex]
Now "cross-multiply" (using what you may have seen called the Means-Extremes Property).
[tex]2(x-1)=3(x-2)\\\\2x-2=3x-6\\\\4=x[/tex]
Now put in 4 for x in the expression for LQ.
[tex]LQ=x-1=4-1=3[/tex]
Problem 3. Ryan and four of his friends were going to the movies. The movie tickets cost $8 each, they
bought two popcorns at $5.75, four drinks at $2.25, and two boxes of candy for $1.75. How much money did
they spend total?
The table shows the ratio between the number of tickets ordered and their cost: Number of Tickets Cost (dollars) 5 20 7 28 9 36 Find equivalent ratios when the number of tickets ordered is 1, 2, and 3. Write them as ordered pairs in the form (x-coordinate, y-coordinate). Starting from the origin, explain how to plot the three equivalent ratios on a coordinate grid. (10 points)
9514 1404 393
Answer:
(1, 4)(2, 8)(3, 12)Step-by-step explanation:
The ratios all have ...
first number : second number = 1 : 4
Using first numbers of 1, 2, 3, the second numbers can be found by multiplying these by 4. (1, 4), (2, 8), (3, 12)
__
You plot these (x, y) points the same way you plot any point on a coordinate grid. The first (x) value is the horizontal distance from the vertical axis. Positive is to the right. The second (y) value is the vertical distance from the horizontal axis. Positive is up.
__
Of course, the origin is where the horizontal and vertical axes meet. It can be convenient to find one of the coordinates on its respective axis, then use the other coordinate to find the point at the desired distance from that axis.
Usually, you would choose the axis on the basis of how easy it is to determine exactly where the coordinate lies. If the y-axis is marked every 5, for example, it might be hard to determine where a multiple of 4 will lie. Locating the x-coordinate on the x-axis may be an easier way to start.
The temperature of a city at sunset was -2°F. Overnight, the temperature decreased by 12°F. What was the lowest temperature overnight in that city?
Answer:-14°F
Step-by-step explanation:
-2°F -12°F is basically the same as 12°F+2°F which is 14°F and then you inverse it
If you could take one sample from the mystery bag in order to make a prediction, would you rather draw a sample of 10 marbles or a sample of 20 marbles. Explain your choice by referring to the representations of the two distributions.
I would choose to draw a sample of 20 marbles in order to make a more accurate prediction.
How to illustrate the sample?In general, it is generally better to draw a larger sample if you are trying to make a prediction. This is because a larger sample will provide more information and will therefore lead to a more accurate prediction.
For example, imagine that you are trying to predict the proportion of red marbles in a bag based on the samples that you draw. If you draw a sample of 10 marbles, there is a good chance that the proportion of red marbles in your sample will be different from the true proportion of red marbles in the bag.
However, if you draw a sample of 20 marbles, the proportion of red marbles in your sample will be more likely to be closer to the true proportion of red marbles in the bag.
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43 inches tall. Each book 1/2 - inch thick
Answer:
If you're asking how many books there are its 86.
Step-by-step explanation:
If each book is 1/2 thick that means there are 2 books per inch.
Because there are 43 inches you're going to multiply by 2.
43(2)= 86.
Hope that helped, have a good day!
Find the common ratio of the geometric sequence 6, 24, 96, ...
Answer:
The common ratio is 4
Step-by-step explanation:
How?
Multiplying or dividing is how to get the common ratio in a geometric sequence (moving from either left to right or right to left) *in this question to be precise* okay so...
Moving from right to left, and dividing, 96 ÷ 24 is 4; 24 ÷6 is 4 so the common ration is still 4.
(To find the next terms, moving from left to right, and multiplying, multiply the previous term by the common ration, so the next term after 96 is 96 × 4, which is 384, and you continue....)
You are very welcome and good luck :)