9514 1404 393
Answer:
A. Luis is eligible for a home loan; he meets all of the requirements.
Step-by-step explanation:
Luis's monthly income is $91,500/12 = $7625. The loan payment as a percentage of this income is ...
$2100/$7625 ≈ 27.54%
This amount is less than 28%, so Luis qualifies according to the first criterion.
__
The total of Luis's monthly debt payments with the loan will be ...
$2100 +370 +165 +45 = $2680
As a percentage of his monthly income, this is ...
$2680/$7625 = 35.15%
This amount is less than 36%, so Luis qualifies according to the second criterion.
Luis is eligible for a home loan; he meets all of the requirements.
Luis is eligible for a home loan; he meets all of the requirements.
What is Down Payment?Down payment is the amount which has to be paid at the beginning of a transaction while buying a house or a car.
Given that,
Price of home = $315,000.
Down payment = 20% × 315,000 = $63,000
Amount need to finance = $315,000 - $63,000 = $252,000
Monthly income = $91,500 / 12 = $7625
Mortgage payment = $2100
Percentage = 2100/7625 = 27.54%
Total monthly expense = $370 + $165 + $45 + $2100 = $2680
Percentage = 2680 / 7625 = 35.15%
This follows 28/36 ratio.
So he is eligible for a home loan.
Hence the correct option is A.
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Consider these functions:
f(x)=3x - 7
g(t)=1+1
What is the value of f(g(3))?
A.-1
B.0
C.3
D. 5
Answer:
A(-1)
Step-by-step explanation:
First, we will replace any x in g(x) with 3
g(x)=(3+1)/(3-1)=4/2=2
Thwn replace any x in f(x) with 2
f(x)=3(2)-7=6-7=-1 ⇒A
hope this helps
3x-y=6
-4x+2y=-8 solve using substitution method
Answer:
x= 3y+2
Step-by-step explanation:
To join a video rental club, a member pays an initial fee plus an additional monthly cost. The equation below describes the relationship between x, the number of months a member rents videos, and y, the total cost in dollars.
y=15+20x
What is the meaning of the rate of change for the equation?
A.
It means the cost per month is $15.
B.
It means the initial fee is $20.
C.
It means the cost per month is $20.
D.
It means the initial fee is $15.
Solve the equation 2 + 4.7 = -9.3.
Answer: positive then greater than
Step-by-step explanation:
Find two points that would be used to graph the equation y=-2x+5
Answer:
(2,1)(-2,9)
Step-by-step explanation:
all my points! PLZ help me on this and explain ur answer plzz
A group of mountain climbers begin an expedition with 250 pounds of food. They plan to eat a to eat a total of 12 pounds of food per day. Write and solve a linear equation to find the number of days their food will last.
Answer:
y=-12x+250
Step-by-step explanation:
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The Texas rangers team manager receives a delivery of 4 boxes of baseballs each box contains 50 basesballs the texas rangers team maneger examines all the baseballs and finds that 8 of them are defective based on these results what can the Texas rangers team manage A a delivery of 5 boxes will contain 14 defective baseballs B A delivery of 6 boxes will contain 16 defective baseballs C A delivery of 7 boxes will contain 14 defective baseballs D A delivery of 8 boxes will contain 8 defective baseballs
Answer:
B
Step-by-step explanation:
For each box, there is 1 defective lightbulb. Therefore, a delivery of 4 boxes will have 4 defective lightbulbs. A delivery of 2 boxes has 2 defective lightbulbs. 4 defective lightbulbs subtracted by 2 defective lightbulbs equals 2 more defective lightbulbs in 4 boxes than 2. Therefore, it is B.
Answer:C
Step-by-step explanation: 4 boxes , 8 are defective (in total) therefore 2 balls are defective in each . multiply and see what goes by 2’s and done.
Use the distributive property to remove the parentheses.
2w3(3 - 8w4)
In the diagram, l1 is parallel to €2.
Answer:
A) 45°
Step-by-step explanation:
A) 45°
Derrick is placing a right triangle in the coordinate plane. He knows that the longer leg is 3 times the length of the shorter leg. He places the longer leg on the x-axis.
What coordinates should he assign to the third vertex of the triangle?
Answer:
Longer leg is placed on X axis.
Let the longer leg be at A(0,0) and B(3 a,0),or (-3 a,0), which is either base or altitude.
AB= 3 a
As longer leg = 3 × shorter leg
Shorter leg should be placed either at (0,a) or (0,-a) maintaining triangle as right angled triangle.
Step-by-step explanation:
O There are 15 students going on a field trip. If 3/5 of them pack their lunches, how many students pack their lunches?
Answer:
Students
Step-by-step explanation:
How do you solve problems involving sequence? Discuss the mathematics concepts and principles applied when solving problems involving sequence
Step-by-step explanation:
Sequence is defined as arrangement f numbers in a specific or defined pattern. Sequence are categorized into
1) Arithmetic
2) Geometric
Arithmetic sequence are characterized by their common difference while Geometric sequence are characterized by their common ratio.
Given a sequance of numbers say;
T1, T2, T3...
The first term "a" of the sequence is T1
Common difference d = T2-T1 =T3-T2
Common ratio = T2/T1 = T3/T2
The formula for calculating nth term of an Arithmetic sequence is expressed as;
Tn = a+(n-1)d
a is the first term
n is the number of terms
d is the common difference
The nth term of a Geometric sequence is expressed as;
Tn = ar^{n-1}
r is the common ratio
Numbers are arranged in a sequence when they follow a predetermined or established pattern. Sequences can be divided into
1) Mathematics
2) Graphitic
Geometric sequences are characterized by their common ratio, whereas arithmetic sequences are distinguished by their common difference.
Suppose a sequence of numbers is given;
T1, T2, T3...
The sequence's initial term "a" is T1.
common distinction d = T2-T1 =T3-T2
T2/T1 Common Ratio T3/T2
The following is the formula for finding the nth term in an arithmetic sequence:
Tn = a+(n-1)d
The first term is a.
The number of terms is n.
d is the typical discrepancy
The nth term of a Geometric sequence is expressed as;
[tex]T_{n} =ar^{n-1}[/tex]
r is the common ratio
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Describe the end behavior of the polynomial function.
Add (6x2 – 3x) + (5x – 7).A.6x2 + 2x – 7B.6x2 + 8x – 7C.6x2 – 2x – 7D.3x2 – 2x
Answer:
A.) 6x2+2x−7
Step-by-step explanation:
Answer:
6x^2 + 2x - 7.
trust me i just did it
Step-by-step explanation:
What method can you use to prove sides or angles are congruent AFTER you have proven two triangles are congruent to each other?
Answer: Side Angle Side (SAS) is a rule used to prove whether a given set of triangles are congruent. In this case, two triangles are congruent if two sides and one included angle in a given triangle are equal to the corresponding two sides and one included angle in another triangle.
Step-by-step explanation: I got this from a website, Hope it helps!!!
use the function d=v+9 to find the value of d when v =2
Answer:
D=11
Step-by-step explanation:
Answer:
d = 11
Step-by-step explanation:
Hope this help! Have a great day!
Brett bought 2 shirts. One cost $4 more than 3 times the other. Together, the 2 shirts cost
him $72.
HELP PLEASE.
Answer:
one costs 17 dollars the other costs 55 dollars
Step-by-step explanation:
we have to make 2 equations using variables
x=shirt 1
y= shirt 2
y+x=72
x=3y+4
then substitute 3y+4 for x in the first equation
y+3y+4=72
subtract 4 and add y and 3y
4y=68
divide by 4
y= 17
use this for y in the second equation
x=3(17)+4
x=51+4
x=55
What is the inverse of the function f(x) = x +3
Answer:
h(x) = x-3
Step-by-step explanation:
The inverse of a function works such that f(h(x)) = x. Also, f(h(x)) = h(x) + 3. Thus, x = h(x) +3 -> h(x) = x-3
i hope this helps!!! :)
What is the x value in the coordinate point (-2,7)
Answer:
-2
Step-by-step explanation:
(x,y)
Answer:
-2
Step-by-step explanation:
is it not that simple? im not sure im pretty sire its just 2 though
Which set of ordered pairs represents a function?
{(3,3), (-9,-1),(-4,3), (3,1)}
{(2,4), (2,9), (-2,-8), (7,5)}
{(6,4),(-3,-6),(-3,9), (-8, –7)}
{(5,9), (-6,1),(6,5),(-8,5)}
Submit Answer
Answer:
{(5,9), (-6,1),(6,5),(-8,5)}
Step-by-step explanation:
There is no repeating X factor
Find the perimeter of the figure. Round to the nearest tenth if needed.
a=50 b=83 c=65
Answer:
263
Step-by-step explanation:
50 + 83 + 65 + 65 = 263
i don’t know witch sides are which but here you go
microzooplankton is _____ compared to macrozooplankton
a) smaller
b) bigger
c) faster
d) brighter in color
btw yes i put it on math because i feel like more people do math more
a ) smaller is correct answer
Ratio to 6:3?? Write 2 other ways :))
Answer:
6/3, 6:3, and 6 to 3
Step-by-step explanation:
All of these answers above are correct!!!
May I have a Brainliest?
What is the point-slope form of an equation passing through (0, -5) with a 5 points
slope of 2? *
Answer:
y=2x-5
Step-by-step explanation:
[tex]y-y_{1}=m(x-x_{1})[/tex]
[tex]x_{1}=0, y_{1}=-5\\[/tex], and m=2
[tex]y-(-5)=2(x-0)[/tex], -(-5)-Two negatives make it positive, and you distribute the 2
[tex]y+5=2x[/tex], you now subtract 5 to get y by itself to get your answer of
[tex]y=2x-5[/tex]
*NOTE* (0,-5) is the y-intercept, so you could have used the linear equation of y=mx+b, m=2, and b(y-intercept)=-5
giving you y=2x-5
When a baseball is hit by a batter the height of the ball age of T at time TT equals zero is determined by the equation age of T equals -16 T squared +64 2+ 4FT is in seconds for which interval of time is the height of the bar greater than or equal to 52 feet
Answer:
1 ≥ t ≤ 3
Step-by-step explanation:
Given
h(t) = -16t² + 64t + 4
Required
Determine the interval which the bar is at a height greater than or equal to 52ft
This implies that
h(t) ≥ 52
Substitute -16t² + 64t + 4 for h(t)
-16t² + 64t + 4 ≥ 52
Collect like terms
-16t² + 64t + 4 - 52 ≥ 0
-16t² + 64t - 48 ≥ 0
Divide through by 16
-t² + 4t - 3 ≥ 0
Multiply through by -1
t² - 4t + 3 ≤ 0
t² - 3t - t + 3 ≤ 0
t(t - 3) -1(t - 3) ≤ 0
(t - 1)(t - 3) ≤ 0
t - 1 ≤ 0 or t - 3 ≤ 0
t ≤ 1 or t ≤ 3
Rewrite as:
1 ≥ t or t ≤ 3
Combine inequality
1 ≥ t ≤ 3
Solve the system of equations.
5x + 2y = 12
5x – 2y = 28
Answer:
x=4 y=-4
Step-by-step explanation:
Step: Solve5x+2y=12for x:
5x+2y=12
5x+2y+−2y=12+−2y(Add -2y to both sides)
5x/5=−2y+12/5
x= −2/5y+12/5
−2/5y+12/5 for x in5x−2y=28
5(−2/5y+12/5)−2y=28
−4y+12=28(Simplify both sides of the equation)
−4y+12+−12=28+−12(Add -12 to both sides)
−4y=16
−4y/−4=16/−4
(Divide both sides by -4)
y=−4
Substitute −4 for y in x=−2/5y+12/5
x= −2/5y+12/5
x=−2/5(−4)+12/5
x=4
PLZZZZZZZZZZZZZZZZZZZZZZZ HELP
Write the equation of the line parallel to y = 3x + 3, that passes through (-3, 10).
y=3x+19
Step-by-step explanation:
equation parallel to y=3x+3 means having the same gradient .Here gradient is 3 where you equate equation with y=mx +c where m is the gradient and c is the y-intercept
Equation of line y=3x+c
you must find c ,replace point (-3,10) in equation y=3x+c
10=3(-3)+c
10=-9+c
10+9=c
c=19
equation of line parallel to y=3x+3 that passes through(-3,10) is y=3x+19
Quadrilateral MNOP is similar to quadrilateral SURT
Answer:
C is the anser i belive i im wrong im sorry
Step-by-step explanation: