The difference in the monthly payments for a 20-year mortgage and a 30-year mortgage on a $135,000 loan at 3.32% APR is $430.
Find, to the nearest dollar, the difference in the monthly payments for these two loans?The monthly payment on the 20-year mortgage is $902 and the monthly payment on the 30-year mortgage is $1,332.For Jim to compare the monthly payments on a 20-year mortgage and a 30-year mortgage, he needs to calculate the principal and interest for each loan. The principal and interest for a 20-year mortgage at 3.32% APR for $135,000 is $715.09 per month. The principal and interest for a 30-year mortgage at 3.32% APR for $135,000 is $572.72 per month. The difference in the monthly payments for these two loans is $142.37 per month.To calculate the difference in the monthly payments for a 20-year mortgage and a 30-year mortgage, you must first calculate the principal and interest for each loan. To do this, multiply the loan amount by the monthly interest rate, which is the APR divided by 12. Then subtract the principal from the total amount.This will give you the monthly principal and interest payment. The difference in the monthly payments for the two loans is the difference between the monthly principal and interest payments.To learn more about the difference in the monthly payments refer to:
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Which of the following shows the Commutative Property of Multiplication?
I NEED HELP PLEASE ASAP I HAVE LIKE $ MINUETS HURRY PLS!
The commutative property is given by a×b=b×a
What is the commutative property?The commutative property states that the numbers on which we operate can be moved or swapped from their position without making any difference to the answer. The property holds for Addition and Multiplication, but not for subtraction and division.
Given here: The law simply states that with addition and multiplication of numbers, you can change the order of the numbers in the problem and it will not affect the answer. Let the two numbers be a and b
Then we get a×b=b×a
Hence, The commutative property is given by a×b=b×a
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USE PATTERNS AND STRUCTURE
A jewelry Desinger Buys a new color of gem to add to his collection. The number of gems he buys is divisible by 2. Which color of gem did he buy?
GLASS GEM COLLECTION
red sapphire. 48
Blue sapphire. 55
Pink sapphire 65
Golden Sapphire 37
The tallest tree in the world is in redwood California as of April 2019 if you’re standing on the trail 220 feet from the bottom of the tree you have to look up it is 60° angle to see the top how tall is the tree
Answer:
220√3
Step-by-step explanation:
220 x tan60°
220√3
Your grandmother tells you a story about a genie that offers two options for rewards.
● Option 1: $1,500,000
● Option 2: A magical $1 coin that triples every day. The coin turns into three coins on the first day. The three coins turn into nine coins on the second day. The nine coins triple to 27 coins on the third day. This doubling will continue for 28 days.
Write an equation that shows the number of coins n that you get when you choose option 2 after d days.
Key: d is the variable
The expression for the magical coin for d days will be [tex]C = (3)^d[/tex].
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that A magical $1 coin that triples every day. The coin turns into three coins on the first day. The three coins turn into nine coins on the second day. The nine coins tripled to 27 coins on the third day. This doubling will continue for 28 days.
The equation can be written as,
[tex]C = (3)^d[/tex]
At d = 28, the value of the coin will be,
C = (3)²⁸
C = $2.28 x 10¹³
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1. What would be the next number in the pattern? (1 point)
1
1 1 1
324
108 36 12
O
OO
55|41|w|.
01
27
The next number in the given pattern is 1/4
What is Geometric Progression ?
Geometric progression can be defined as the sequence of numbers in which the common ratio between any consecutive numbers is same.
Given sequence ,
1/324 , 1/108 , 1/36 , 1/12
Lets check whether they are in Geometric sequence or not.
So,
r = 1/108 / 1/324
r = 324/108
r = 3
And
r = 1/36 / 1/108
r = 108/36
r = 3
So, The common ratios are same , it is in Geometric sequence
So , the next term could be
= 1/12 * 3
= 1/4
So, the next term could be 1/4
Hence, The next number in the given pattern is 1/4
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sketch a contour map of the function. f(x, y) = x2 + 9y2
A contour map/ plot is a way of representing a function with a two-dimensional input and a one-dimensional output.
Contours are obtained by intersecting the surface with the horizontal plane using the equation z = c. So the contour equation at height c is f(x,y) = c.
There are three types of contour lines displayed on the map:
Intermediate, Index, Supplement. The index line is the thickest contour line, and the points along the line are usually function numbered. Contours do not branch or split. Page 5 Steep slopes are represented by dense contour lines. Contour lines never intersect, but they can touch.
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A grocery store prints coupons on randomly selected receipts.
A coupon was printed on 18 of the last 1,200 receipts. Based on
these results, what is the probability that a coupon will be
printed on the next receipt? Show your work.
Answer:
18/1,200?
Step-by-step explanation:
im not too sure on this
Function g is a transformation of the parent function f(x) = x^2. The graph of g is a translation right 5 units and up 1 unit of the graph of f. Write the equation for g in the form y = ax^2 + bx + c.
Answer: A transformation of a function such as y = f(x) is a way to change the appearance of its graph by applying certain rules to it. In this case, the graph of function g is a translation right 5 units and up 1 unit of the graph of f.
To find the equation of the transformed function g, we can take the equation of the parent function, which is y = f(x) = x^2 and apply the translation rules (right 5 units and up 1 unit) to it.
The translation right 5 units means that the x-coordinate of each point on the graph of f is increased by 5 units. So this can be written as x = x+5
The translation up 1 unit means that the y-coordinate of each point on the graph of f is increased by 1 units. So this can be written as y = y+1
Substituting x = x+5 and y = y+1 in the equation of the parent function y = x^2 gives the equation of g in the form:
y = (x+5)^2 + 1
So the equation of g is y = (x+5)^2 +1
This equation is a parabola with a vertex that
Step-by-step explanation:
The scatterplot shows the relationship between the number of yards allowed by teams in the National Football League and the number of wins for that team in a recent season, along with the least-squares regression line. Computer output is also provided.
1 . State the equation of the least-squares regression line. Define any variables you use.
Answer:
16.84
Step-by-step explanation:
10. Grapes are on sale for
$2.36 per pound.
Pounds
0.75
1.25
2
2.5
Total Cost
Number 10
Answer:
.75 pounds= $1.77, 1.25 pounds=$2,95, 2 pounds=$4.72, 2.5 pounds= $5.90
Step-by-step explanation:
multiply each number in the pounds column by 2.36 to get the total cost
.75(2.36)=1.77
1.25(2.36)=2.95
2(2.36)=4.72
2.5(2.36)=5.9
Which of the following are irrational numbers?
Choose the two correct answers.
Responses
100−−−√ 100 ,
28−−√ 28 ,
11−−√ 11 ,
2.78¯¯¯¯
Answer:
11 and 28
Step-by-step explanation:
ok is a unatural and is the probability of the worst role in all of the curriculum in this field will
Answer:
11 and 28 are the numbers your looking for
Step-by-step explanation:
had a problem like this on a test
Katie received a sticker each time she picked up her toys. She places some of the stickers on the first page of her scrapbook as shown below. Write an equation to represent the problem using the distributive property.
The number of stickers on the first page of Katie's scrapbook is given by the equation A = 28 stickers
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
The number of stickers in Katie's first page of scrapbook is A
The array of stickers is = 4 rows and 7 columns
So , number of stickers in Katie's first page of scrapbook A = 4 x 7
Number of stickers in Katie's first page of scrapbook A = 28 stickers
The total number of stickers in the scrapbook for page 2 and 3 is
A = ( 4 x 4 ) + ( 3 x 4 )
Taking the common factor as 4 , we get
A = 4 ( 4 + 3 )
By using the distributive property , we get
A = 4 x 7
A = 28 stickers
Therefore , the value of A is 28
Hence , the equation is A = ( 4 x 4 ) + ( 3 x 4 )
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The population of a city was 34,000 at the beginning of 1937. Its
population steadily increased by 6.8% every year from 1937 to 1997.
Which of these is the closest to the population of the city at the end of
1970?
Answer:
298078.228074
Step-by-step explanation:
we add 6.8% of the population to the city each year
city population in year x + 1 = city population in year x + 6.8% of city population in year x = city population in year x + 0.068 * city population in year x = 1 * city population in year x + 0.068 * city population in year x = 1.068 * city population in year x
we multiply the population by 1.068 each year to get the next year's population
thus, over a period of y years, we would multiply the population by 1.068 y times.
start = 34000 in 1937
difference in years = 1970 - 1937 = 33
final amount = 34000 * 1.068 33 times = 34000 * 1.068^33 = 298078.228074
There can be no more than 835 people in the concert hall. What inequality represents the number of people, p, allowed in the concert hall? Drag and drop the appropriate symbol to correctly complete the inequality. Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.poop
Answer:
p is less than or equal to 835
Step-by-step explanation:
Up to 835 people can fit in the concert, therefore the answer is p<=835.
Let V be the set of all positive real numbers. Define + by U+V = UV-1 and . by C.V = V. Is V a vector space? Explain?
No, V is not a vector space with the operations defined in this way. Because the operations defined in this question do not satisfy the properties required for V to be a vector space.
A vector space is a collection of objects (vectors) that can be added together and multiplied ("scaled") by numbers, called scalars. These operations must satisfy certain properties to be considered a vector space.
For example, one of the properties is the associativity of vector addition, which means that (u + v) + w = u + (v + w) for any vectors u, v, and w in V. However, with the given definition of +, we have (U + V) + W = (UV-1) + W = U(VW-1) which is not equal to U + (V + W) = U(VW-1)
Another property is the distributivity of scalar multiplication over vector addition, which means that c(u + v) = cu + cv for any scalar c and any vectors u and v in V. But with the given definition of ., we have C(U+V) = C(UV-1) which is not equal to C.U + C.V = CUV-1
Furthermore, with the definition given the additive identity and the existence of additive inverse are not guaranteed.
Therefore, V is not a vector space with the operations defined in this way.
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i need help pls i have no clue what to do?
Answer:
Step-by-step explanation:
Ivy is incorrect. An ellipse would also fit her definition(since an ellipse has no corners and a shape that is round and closed)
Ethan is correct. A circle is a set of all points some fixed distance away from some fixed point.
Ebuka is incorrect. A half circle will also fit her definition.
Find the quotient and label the model 14 divide by 54.6
Answer:
On top: 3.9
2nd row: 42
3rd row: 12.6
4th row: 12.6
Top of area model:
3 and .9
Step-by-step explanation:
Long division has a rhythm of four steps. The outside number(divisor) goes into the inside number (dividend, but just a piece of it). Write the answer (quotient) on top. Multiply the top × the outside number. Write it below. Subtract down. Bring down another digit. See image.
The area model is based on length times width. See image.
Movie showings: At the 24/7 Classic movieplex, Gone with
Ahe wind shows every 120 minutes, Casablanca shows
every 140 minutes, and The Godfather shows e
every 90.
minctes. If all three movies have Just begun, in how
many minutes will they again all begin at the same time?
On solving the provided question, by LCM after 2520 minutes, all 3 movies will begin at the same time.
What is the L.C.M. of number?The number that is the smallest of two or more natural numbers' common multiples is known as the Lowest Common Multiple (LCM) in mathematics.
IF we look from mathematical point of view, the question is just asking what is the smallest numbers that is divisible by 120, 140 and 90, which is the L.C.M of these 3 number.
For instance, 12 is the least frequent multiple of 4 and 6. As a result, 12 is the lowest common multiple such that its elements are 4 and 6.
If we look at what the question ask, all the movies will begin at the same time if all the multiples of 120, 140 and 90 have a number in common and should be smallest.
Hence, after solving for L.C.M., we get 2520 as the L.C.M.
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HELLPPP
In*Delta*DEF, e = 1.8inches; m angle F=104^ and m angle D=52^ Find the length of f, to the nearest 10th of an inch.
The length of the triangle DEF f is 4.3 units.
How to find the side of a triangle?A triangle is a polygon with three sides. The sum of angles in a triangle is 180 degrees.
The sine law can be used to find the side of a triangle. Therefore, let's find the side f of the triangle using sine law.
Therefore,
a / sine A = b / sin B = c / sin C
Hence,
e / sin E = f / sin F
E = 180 - 104 - 52
E = 24 degrees
Therefore,
1.8 / sin 24 = f / sin 104
cross multiply
1.8 sin 104 = f sin 24
divide both sides by sin 24
f = 1.8 sin 104 / sin24
f = 1.8 × 0.97029572627 / 0.40673664307
f = 1.7465323073 / 0.40673664307
f = 4.29277407617
f = 4.3 units
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Omar is going to invest in an account paying an interest rate of 6% compounded monthly. How much would Omar need to invest, to the nearest dollar, for the value of the account to reach $32,400 in 20 years?
Omar needs to invest $9,788, to the nearest dollar, for the value of the account to reach $32,400 in 20 years
What is compound interest rate?Compound interest is computed as interest on the principle of an account plus any accrued interest.
Compound interest can be calculated using the following formula:
x = P (1+r/n[tex])^{nt}[/tex]
,where x = compound interest
P = principal (the initial deposit or loan amount)
r = annual interest rate
n = the number of compounding periods per unit of time
t = the number of time units the money is invested or borrowed for
Given:
Omar is going to invest in an account paying an interest rate of 6% compounded monthly.
A = $32,400 in 20 years
First, convert R as a percent to r as a decimal
r = R/100
r = 6/100
r = 0.06 per year,
Then, solve the equation for P
P = A / (1 + r/n[tex])^{nt}[/tex]
P = 32,400.00 / (1 + 0.06/12[tex])^{(12)(20)}[/tex]
P = 32,400.00 / (1 + 0.005[tex])^{240}[/tex]
P = $9,787.91
P = $9788 to the nearest dollar.
Therefore, the investing amount is $9,788.
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-.Write two different expressions you could use to represent the
combined area of the Description and Small Diagram sections.
What information about the combined area does each
expression show?
Answer:
hey please check my next questioj
True or False:
15 x 32 x 2 = 2 x 15 x 32
The answer is true
15 x 32 x 2 = 2 x 15 x 32
960=960
Answer:
it is true because the answers are the same
Step-by-step explanation:
Please help me!!! ASAP
Answer:
Step-by-step explanation:
Answer is 26. Plug in each of the numbers. (8x4)-6
Which number sentence is true?
A. 12 < |-12|
B. |-12| < |-48|
C. |-48| < |48|
D. |12| > |-48|
What is the name for a line that intersects two or more lines?
Answer:
line that intersects two or more lines at a distinct points is known as transversal line.
A man walks 16 miles east and then walks 12 miles due north. How far is the tired man from his starting point?
John and Ben each bought school supplies. John bought three pens, and Ben bought two pens. Ben bought three pencils. If each pen cost $1.10 and each pencil costs $0.75, how many pencils did John buy, if together they spent $10.00?
Answer:
10
Step-by-step explanation:
1.10*2=2.20
10-2.20=7.80
7.80/75=10.4
in total 10 pencils
Which is the volume of the cone shown below
A 2016
B 1344
C 504
D 4032
The volume of a cone is given by the formula V = (1/3) * π * r^2 * h Where the volume of this cone is approximately A:2016.
What is volume of cone?The volume of a cone is a measure of the amount of space inside the cone.
It is calculated using the formula: V = (1/3) * π * r^2 * h, where V is the volume, r is the radius of the base of the cone, h is the height of the cone, and π is the mathematical constant pi (approximately equal to 3.14).
The volume of the cone is the amount of space inside the cone, and is measured in cubic units (such as cubic centimeters, cubic meters, etc.).
From the diagram, we can see that the radius of the base of the cone is 4 and the height is 8. Plugging these values into the formula, we get:
V = (1/3) * π * 4^2 * 8
V = (1/3) * π * 16 * 8
V = (1/3) * 64π
The volume of this cone is approximately A:2016.
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Can anyone that’s good in math do this problem for me
Use the number line below, where RS=8y+4, ST=2y+4, and RT=58.
a. What is the value of y?
b. Find RS and ST.
The value of y is 58 and RS is 55.25 and ST is 17.5.
What is Equation?Equation is an expression that consists of variables, constants, and operators, and expresses a relationship between them. It is a mathematical statement that two expressions are equal. Equations can be used to solve a wide variety of problems in mathematics, science, engineering, and other fields. Examples of equations include the Pythagorean Theorem, the equation of a circle, and the equation of a line. Equations can be written in a variety of forms, such as symbolic, graphical, and numerical.
The value of y can be found by solving the equation 8y+4=58. By subtracting 4 from both sides, we get 8y=54.
Dividing both sides by 8, we get y=6.75.
Therefore, RS=8y+4=8(6.75)+4=55.25 and
ST=2y+4=2(6.75)+4=17.5.
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[tex]\frac{1}{2}[/tex]x+4=-26
[tex]\dfrac{1}{2} x+4=-26[/tex]
Subtract 4 from both sides:
[tex]\dfrac{1}{2} x+4-4=-26-4[/tex]
[tex]\dfrac{1}{2} x=-30[/tex]
Multiply both sides by 2:
[tex]2\times(\dfrac{1}{2} x)=2\times(-30)[/tex]
[tex]\fbox{x = -60}[/tex]