Answer:
Rollin and Sandra will not be eligible for a loan. Since 20% of $265,000 is $53,000, they have the required down payment.The recurring debt they have exceeds the allowable amount of $557. Rollin and Sandra should work on reducing their recurring debt.
Step-by-step explanation: this is what i put on the practice
Based on the 28/36 rule, the Rollin and Sandra family are eligible for the mortgage loan of $212,000.
Data and Calculations:Price of home = $265,000
Required down payment = 20% or $53,000
Amount saved = $53,000
Combined annual income of Rollin and Sandra = $83,600
Recurring debt = $582 per month
Annual recurring debt = $6,984 ($582 x 12)
The Rollin and Sandra family will need to finance $212,000 ($265,000 - $53,000) of the home price.
At 6% interest rate for 30 years, the Rollin and Sandra household will pay $1,271.05 monthly or $15,252.60 yearly. This gives a total annual debt payment of $22,236.60 ($6,984 + $15,252.60).
Thus, based on the 28/36 rule, the Rollin and Sandra family are eligible for the mortgage loan of $212,000.
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Here is the same number machine.
Input
Output
x 2
+ 3
17
Work out the input when the output is 17.
help pls
6 x (2-8) + 4
Answer:
-32
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
In Solving This You will Need To;
*First You Open The Bracket Which is
6×(2-8)+4
6×2-8+4
*So after this you will multiply the 6 by the 2 which is going to be;
12-8+4
*So after you have multiplied 6 by 2 you can choose to subtract the 8 from the 12 or you can also choose to add the -8+4 either way you choose you're going to arrive at the same answer. So I choose to subtract 8 from the 12 so it's going to be;
4+4
Then you add the four plus 4 so the final answer will be 8
(If I chose to add the -8+4 it would have been -4 so 12-4 would have also given me 8 so any step is acceptable)
F(x) = (4x–5)/6
Find the Inverse
Answer:
F^-1 (x) = 3x/2+5/4
Step-by-step explanation:
First, replace f(x) with y
Replace every x with a y and replace every y with an x .
Solve the equation from Step 2 for y
Replace y with f−1(x) f − 1 ( x )
Verify your work by checking that (f∘f−1)(x)=x ( f ∘ f − 1 ) ( x ) = x and (f−1∘f)(x)=x ( f − 1 ∘ f ) ( x ) = x are both true.
Hope this helps! Stay Safe!
Does this graph represent a function? khan academy
Answer:
yes
Step-by-step explanation:
its a graph
Answer:
No
Step-by-step explanation:
It isn't a positive linear association nor a negative linear association. If you were to connect those lines, it would not be a linear function of any kind of association.
The following lines: y=2/3(x) and y=-3/2(x) are...
O Intersectings=
O Neither
O Parallel
O Perpendicular
Need ASAP
Answer:
the answer to this question is parallel
You can use the expression 2e+2w to find the perimeter of a rectangle where e is the length and w is the width. Interpret the coefficients of the terms.
Answer: The coefficient of terms is 2 represents length of 2 equal and opposite sides of rectangle.
Step-by-step explanation:
A rectangle is a 4 sides closed quadrilateral where opposite sides are equal .
So , length of one pair of opposite is represented by 'l' [l= length]
Such that sum of these two sides = l+l=2l
The other pair of opposite sides s represented by 'w' [w= width]
Such that sum of these two sides = w+w=2w
Perimeter is the sum of sides.
So, perimeter of rectangle = 2l+2w.
The coefficient of terms is 2 represents length of 2 equal and opposite sides of rectangle.
Write or describe the function that flips over the x-axis, shifts right .5
units, and up 12 units. *
Use the information to answer the following question.
The table shows the cost of various products at a store.
Item Cost
T-Shirt 0.75x
Jeans 4x-5
Hat 2x+4
Gary has (10x + 7) dollars. If Gary decides to buy two pairs of jeans, what expression can be written to represent how much money Gary will have leftover after the purchase? Write the expression and then simplify the expression. (Explain)
At a candy store, you can buy pre-filled bags of candy that weigh 2 1/4 pounds for $8. At this same rate, how much would a 4 pound
bag of candy cost?
Answer:
$14.22Step-by-step explanation:
step one:
given data
we are told that 2 1/4( 2.25 pound) of candy cost $8
let us find the cost of 1 pound first
so
2.25 pound cost #8
1 pound will cost x
cross multiply
x=8/2.25
x=$3.55 for one pound.
step two:
Hence if 1 pound cost $3.55
4 pound will cost = 3.55*4= $14.22
PLEASE HELP find the sins of z
Answer:
It's easy
Step-by-step explanation:
Check the attachment for your answer
Bridget, Jim and Krutika share some sweets in the ratio 2:1:1. Bridget gets 24 sweets. How many sweets are there altogether?
Answer:
48
Step-by-step explanation:
Bridget = 2 x 12 = 24
Jim = 1 x 12 = 12
Krutika = 1 x 12 = 12 ---> 24 + 12 + 12 = 48
Equation parallel y= -3 also passes through the point (2,5)
Answer:
When somethins is parallel it never crosses each other, this means the new equation has to have the same slope but, since y=-3 is a straight line we just have to make the new line also a straight line, maknig sure it passes through (2,5).
To do this make y equal the y-coordinate of the points it needs to pass through. This would make the answer y=5
Step-by-step explanation:
I need help bad please anyone I need this
Answer:
The answer is A because 144 - 121 = 23 so
Step-by-step explanation:
because 144 - 121 = 23
Which expression is equivalent and why?
9514 1404 393
Answer:
C. 1.15x
Step-by-step explanation:
You are given the expression for the cost:
x + 0.15x
Combining like terms, this becomes ...
1.15x . . . . . matches choice C
Simplify the expression
Answer:
f(x) = x - 6 g(x) = x - 5Step-by-step explanation:
[tex]\dfrac{x^2-8x+12}{x^2-7x+10}\\\\x^2-7x+10\ne0\ \iff\ x=\frac{7\pm\sqrt{49-40}}{2}\ne0\ \iff\ x\ne5\ \wedge\ x\ne2\\\\\\\dfrac{x^2-8x+12}{x^2-7x+10}=\dfrac{x^2-2x-6x+12}{x^2-2x-5x+10}=\dfrac{x(x-2)-6(x-2)}{x(x-2)-5(x-2)}=\\\\\\ =\dfrac{(x-2)(x-6)}{(x-2)(x-5)}=\dfrac{x-6}{x-5}\\\\\\f(x)=x-6\\\\g(x)=x-5[/tex]
A gardener is installing fence around his garden. Let x represent the width of the garden, in feet. The perimeter of the garden is 8x + 8. Which expression represents the length of the garden?
1. 2x + 2
2. 3x + 4
3. 6x + 8
4. 8x + 8 – 2x
Answer:
2. 3x + 4
Step-by-step explanation:
What we know:
w=x
Perimeter (p) = 8x+8
Formula for perimeter p =2(L+W)
8x+8 = 2(L+W)
L+W is half, so
L+W = 4x+4
Substract W on both sides;
L = 4x+4 -W
We know that W = x
So
L= 4x+4-x
4x-x= 3x
L= 3x+4
The temperature drops 2°F every hour. Make a table and write an equation to represent the total temperature drop over time.
bob buys a t-shirt for $7.45 he pays with a 20 bill. how much change will he get?
Answer:
12.55
Step-by-step explanation:
Subtract 20 by 7.45
The required amount bob will get in return is given as $12.55.
Given that,
bob buys a t-shirt for $7.45 he pays with a 20 bill, how much change will he get is to be determined.
What is arithmetic?
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
here,
total nill = $7.45
Total money given = $20
Change to return = 20 - 7.45 = $12.55
Thus, the required amount bob will get in return is given as $12.55.
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In right triangle ABC, altitude CD is drawn to its hypotenuse. Select all triangles which must be similar to triangle ABC.
Answer: ABC, ACD, CBD
Step-by-step explanation: I just did this problem and got it wrong. It then gave me the correct answer which is ABC, ACD, CBD.
The triangles that should be similar to triangle ABC is ABC, ACD, CBD.
What is the right triangle:
It is known as the rectangled triangle where the one angle should be treated as the right angle or here the two sides should be perpendicular. The relationship between the sides and the other angles should depend upon the trigonometry
Therefore, The triangles that should be similar to triangle ABC is ABC, ACD, CBD.
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Using the graph, find the
1. Domain
2. Range
3. Is it a function? Why or why not?
9514 1404 393
Answer:
domain: {-5, -4, 2, 5}range: {-6, 1, 3, 4, 5}no: fails the vertical line testStep-by-step explanation:
The domain is the list of x-values of the points on the graph. It is ...
{-5, -4, 2, 5}
The range is the list of y-values of the points on the graph. It is ...
{-6, 1, 3, 4, 5}
__
Two of the points, (2, 1) and (2, 4), have the same x-value. When a single input has multiple outputs, the relation is not a function.
If you were to draw a vertical line at x=2, it would intersect the relation in more than one place. Thus, we say the relation "fails the vertical line test." A vertical line will never intersect the graph of a function in more than one place.
I'm not sure what to do about this problem, so please help me out.
Answer:
21
Step-by-step explanation:
Let the three consecutive integers be;
x , x + 1 and x + 2:
The sum of squares of the two smaller numbers:
The two smaller numbers are x and x+ 1
Sum of their squares:
x² + (x+1)²;
x² + x² + 2x + 1 = 2x² + 2x + 1
It is 45 more than the square of the larger number:
Larger number = x + 2
(x+2)² = x² + 4x + 4
45 more;
x² + 4x + 4 + 45 = x² + 4x + 49
Both are equal:
2x² + 2x + 1 = x² + 4x + 49
2x² - x² + 2x - 4x + 1 - 49 = 0
x² - 2x - 48 = 0
x² - 6x + 8x - 48 = 0
x(x - 6) + 8(x - 6) = 0
(x + 8)(x-6) = 0
x + 8 = 0 or x - 6 = 0
x = -8 or x = 6
We choose x = 6 because it makes the solution true as a positive integer
Sum of the three numbers:
x + x + 1 + x + 2 = 6 + 6 + 1 + 6 + 2 = 21
Sean has $250 in his bank account. He deposits $35 from his birthday and then
buys clothes for school for $75. How much is in his account now?
Answer:
210 dollars left
Step-by-step explanation:
Answer:
he has 210 dollars left
Step-by-step explanation:
250+35=285
285-75=210
In a survey 2800 people who owned a certain type of car, 1820 people said they would want to buy the type of car again. What percent of the people surveyed were satisfied with the car?
Answer:
65%
Step-by-step explanation:
1820/2800 percent.
(65%)
The unit rate declines on the of people satisfied/ the number of people total.
Hope this helps plz mark brainliest :D
Step-by-step explanation:
1820/2800
=65%
hope this may help you
In a state, 30% of all people own a scooter, and 41% of all people have a skateboard and bicycle. Find the probability of choosing a person that has a scooter and then choosing another person sequentially who has a skateboard and bicycle? Round answer to nearest tenth and include percent sign.
Answer: 50%.
Step-by-step explanation: If someone went shopping for a scooter and it was $49.99 dollars but saw a skateboard for $14.99, they would choose the skateboard because it’s cheaper. If someone else went to the store because they wanted a skateboard but then they saw a scooter for $23.99 and a bike for $19.99 there is a 50% chance they will choose the cheaper one. (I hope this ,add sense
The probability is given by the equation P = 12.3 %
What is Probability?The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible
Probability = number of desirable outcomes / total number of possible outcomes
The value of probability lies between 0 and 1
Given data ,
Let the probability of choosing a person that has a scooter and then choosing another person sequentially who has a skateboard and bicycle be P
Now , the equation will be
Let the probability of selecting a person owing a scooter A = 30 %
Let the probability of selecting a person owing a scooter A = 0.3
Let the probability of selecting a person owing a skateboard and bicylce be B = 41 %
Let the probability of selecting a person owing a skateboard and bicylce be B = 0.41
Now ,
Probability of choosing a person that has a scooter and then choosing another person sequentially who has a skateboard and bicycle P = probability of selecting a person owing a scooter A x probability of selecting a person owing a skateboard and bicylce B
Substituting the values in the equation , we get
Probability of choosing a person that has a scooter and then choosing another person sequentially who has a skateboard and bicycle P = A x B
Probability of choosing a person that has a scooter and then choosing another person sequentially who has a skateboard and bicycle
P = 0.3 x 0.41
P = 0.123
Hence , the probability is P = 12.3 %
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We're doing writing equations with Point & Slope
through: (5,1) slope= 4/5
good luck lol
Answer:
y = 0.8x - 3
Step-by-step explanation:
See attached screenshot solution using Desmos
Simplify this please (multi choice)
Help plz:))) I’ll mark u brainliest
ASAP!!!
Answer:
isosceles
Step-by-step explanation:
the two bottom angles are equivalent
the top angle is different
two sides are also of equal length
What is the simplified value of the expression below?
12.4 x (negative 6.3)
Answer:
78.12
Step-by-step explanation:
Answer:
78.12
Step-by-step explanation:
Factor 3x^2 + 7x + 2
Answer:
(x+2)(3x+1) are the factors
Answer:
(3x+1)(x+2)
Step-by-step explanation:
I don't know how to explain it but that's what I got.
I hope it's right!
I spent $120 shopping for food last week. This week I spent 12% more.
Which expression could be used to find how much I spent on food this
week?
Answer:
$120*.12= then add the answer to the money amount
Step-by-step explanation:
Answer: 120*1.12
The multiplier 1.12 represents the idea of increasing by 12%
This is because 100% + 12% = 1 + 0.12 = 1.12
For example, if you spend $100 this week and increase that by 12%, then you'll spend 100*1.12 = 112 dollars next week. Note how 12% of 100 is 12, which is the amount the budget goes up.