Mathematics High School

cristal's gross semimonthly salary is $2968.50. What is the maximum amount she can afford to borrow for a home mortgage?
A) $71,244
B)$124,336
C)$142,488
D)$154,362

Answers

Answer 1

Answer:

C) 142,488

Step-by-step explanation: by adding up here semimonthly, also took test.

Answer 2

The maximum amount she can afford to borrow for a home mortgage is: C)$142,488.

Home mortgage

An employees who receive semimonthly salary will  get 24  (12months×2) paychecks per year as the salary is paid twice per year.

Using this formula

Maximum amount= Gross semimonthly salary×24 paychecks×2

Let plug in the formula

Maximum amount=($2968.50×24)×2

Maximum amount=$71,244×2

Maximum amount=$142,488

Inconclusion the maximum amount she can afford to borrow for a home mortgage is: C)$142,488.

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Related Questions

Need quick help please?! Using the Angle Bisector Theorem solve for x.
Show all work.

Answers

From the angle bisector theorem
15/3 = (4x+1)/5
     5 = (4x+1)/5
 4x+1 = 25
    4x = 24
      x = 6

Answer:

[tex]x=6[/tex]

Step-by-step explanation:

We have been given a triangle and we are asked to solve for x using angle bisector theorem.

Angle bisector theorem states that if a ray bisects an angle of a triangle, then it divides the opposite side of triangle into segments that are proportional to the other two sides.

Using angle bisector theorem we can set an equation as:

[tex]\frac{4x+1}{5}=\frac{15}{3}[/tex]

Let us solve for x by multiplying both sides of our equation by 5.

[tex]\frac{4x+1}{5}*5=\frac{15}{3}*5[/tex]

[tex]4x+1=5*5[/tex]

[tex]4x+1=25[/tex]

Let us subtract 1 form both sides of our equation.

[tex]4x+1-1=25-1[/tex]

[tex]4x=24[/tex]

Upon dividing both sides of our equation by 4 we will get,

[tex]\frac{4x}{4}=\frac{24}{4}[/tex]

[tex]x=6[/tex]

Therefore, the value of x is 6 units.

In the diagram, AB = 12, DX = 2.5, and BX = 5. Find CD. Show all work.

Answers

I found your complete question in another source.
 See attached image. 
 For this case what you should see is that you have two similar triangles.
 We then have the following relationship:
 ((AB) / (BX)) = ((CD) / (DX))
 We cleared CD:
 CD = ((AB) / (BX)) * (DX)
 Substituting the values:
 CD = ((12) / (5)) * (2.5)
 CD = 6
 Answer: 
 CD = 6

Answers...........................?

Answers

1.25/5 = 0.25

Your calculator can help with this if you don't happen to know already that 1/5 of 5/4 = 1/4.

Why is it most logical to let x represent Dianna’s current age?

Answers

let's say Diana is "x" years old today.

in 3 years, she's going to be " x + 3 " years old.

33 years ago, she was " x - 33 " old.

how much is 4 times that anyway?  well 4(x-33), that's 4 times as 33 years ago her age.

now, we know in 3 years, x+3, she'll be "4 times as old as she was 33 years ago", 4(x-33), therefore, those amounts are equal then,

[tex]\bf \stackrel{\textit{3 years from now}}{x+3}~~=~~\stackrel{\textit{4 times as old as she was 33 years ago}}{4(x-33)} \\\\\\ x+3=4x-132\implies 135=3x\implies \cfrac{135}{3}=x\implies 45=x[/tex]

why is it most logical to use "x" for her age today?

well, because 3 years from now is just x + 3
and
33 years ago is x - 33, 4 times that is 4( x - 33 ).

works very well as a point of reference.

Diannas current age is what your being asked to find

Diannas age is the unknown in the problem

The given relatioships can be written in terms of diannas current age

I WILL GIVE BRAINLIEST, PLS HELP-A farmer has 300 ft of fencing with which to enclose a rectangular pen next to a barn. The barn itself will be used as one of the sides of the enclosed area.



What is the maximum area that can be enclosed by the fencing?

Enter your answer in the box.


ft²

Answers

The maximum area is the area that uses half the fence (150 ft) for the side parallel to the barn and the other half for the ends of the pen (75 ft each). That area is 11,250 ft^2.

help me please asap ill mark brainliest nd plz be correct

Answers

3x +7 = 5x-11
7 = 2x-11
18 = 2x
x = 18/2 = 9


AI = 3(9) +7 = 27 +7 = 34
BI = AI  = CI
5x - 11 = 3x + 7
2x = 18
x = 9
so
AI= 3(9) + 7 = 27 + 7 = 34 = BI =  CI

answer
34

solve for x in the equation x^2+10x+12=36

Answers

i am going to put the all math work for the answer of this question, but if you need an explanation for how i got each step let me know and i will provide that for you
x^2 +10x + 12 = 36
x^2 + 10x + 12 - 36 = 0
x^2 +12x - 2x - 24 = 0
x(x + 12) - 2(x +12) = 0
(x + 12) x (x - 2) = 0
x + 12 = 0
x - 2 = 0
x = -12
x = 2
your answer for the first x is x = -12, and your answer for the second x will be
x = 2 
let me know if you have any further questions
:)

Answer:  The required value of x is 2 or -12.

Step-by-step explanation:  We are given to solve for x in the following equation :

[tex]x^2+10x+12=36~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]

We will be solving the given equation by the method of factorization.

From equation (i), we have

[tex]x^2+10x+12=36\\\\\Rightarrow x^2+10x+12-36=0\\\\\Rightarrow x^2+10x-24=0\\\\\Rightarrow x^2+12x-2x-24=0\\\\\Rightarrow x(x+12)-2(x+12)=0\\\\\Rightarrow (x-2)(x+12)=0\\\\\Rightarrow x-2=0,~~~~~~x+12=0\\\\\Rightarrow x=2,~-12.[/tex]

Thus, the required value of x is 2 or -12.

What statement is true about the polynomial

Answers

the answer you seek for this question, 'What statement is true about the polynomial' is "Yes"

A Hummingbird moves its wings at a rate of 5520 wingsbeats a minute. Write this rate in wingbeats per second?

Answers

Should be just 92 wingbeats per second.

The required rate of wingbeats per second is 92.

A Hummingbird moves its wings at a rate of 5520 wingsbeats a minute. Write this rate in wingbeats per second?

What is rate of change?

Rate of change is defined as the change in value with rest to the time is called rate of change.

given rate = 5520 wingsbeats a minute.
      now to convert it in seconds divide it by 60

= 5520/60
= 92 wingsbeats a second

Thus, The required rate wingbeats per second is 92.

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Please HELP NEEDED ASAP APPRECIATED !! Brainlestwill be given

Answers

I think you were given (sqrt(x))^5 
sqrt(x) = x^(1/2) so 
(x^(1/2) )^5 = x^(5/2)
The answer closest to the bottom of the page <<<<===== answer.


Force exerted by the ball on the kickers foot.

Answers

F = M/t, where M = mv so...

F = (42*0.65)/(0.018) = 1516.7 N

To the correct number of sig figs it is 1500 N

In a homicide case 33 different witnesses picked the same man from a line up. the line up contained 5 men. if the identifications were made by random​ guesses, find the probability that all 33 witnesses would pick the same person. round to seven decimal places.

Answers

the correct question in the attached figure

we know that

the probability
that a witness picks a particular person by chance-----> P=1/5

the probability
that all 7 witnesses would pick the same person-----> P=1/5^7=0.0000128

the answer is the option B 0.0000128

There are a variety of problems in which the number of witnesses change, for example
....find the probability that all 9 witnesses would pick the same person

in this case, the probability would be-------> P=1/5^9=0.000000512

Final answer:

The probability that Nancy is a robber given Bob's identification is around 33.2%, considering Bob's accuracy and the base rate of robbers in the population.

Explanation:

Probability Calculation:

To find the probability that Nancy is a robber given Bob's identification, we use Bayes' Theorem. Given that Bob is 99% accurate in identifying suspects, the calculation reveals that the probability that Nancy is a robber is around 33.2%.

Base Rate Fallacy: It is crucial to consider the base rate of robbers in the population to avoid common statistical errors in interpreting the probability of an event.

helpppppppppppppppppppppppppppppppp

Answers

Hey there!

By us looking at this expression, [tex](fg)(5)[/tex], this would be clear to show us that (fg) would be multiplied by 5.  So, in your options, this would be something that we would want to find, a multiplication expression.

Your correct answer to this question would be A.) Let's look! So, the first part of the option A.) is [tex]f(5)[/tex] and from this, it would auto matically be multiplied. Now it would also be the same as the other part of the expression, which so sum it all up, this would be the best answer that would be equivalent to the expression above.

Your correct answer would be . . . . .

[tex]\boxed{\boxed{f(5)*g(5)}}[/tex]

Hope this helps you greatly!

one face of a cube an area of 49 square centimeters. what is the volume of the cube

Answers

If the face is 49 squared, it means that one edge is 7. volume is length x width x height so 7x7x7=343 centimeters cubed


A solid is composed of squares and equilateral triangles. Its net is shown below:


The area of each triangle is 1.5 square units. The surface area of the triangular prism is _____ square units. (Input whole number only.)

Answers

The answer is 16. There are 3 squares so
2*2=4
4*3= 12

There are 2 triangles so
2*2=4
4/2=2
2*2=4

4+12= 16

Answer:

So I am going one is kind of the same but it says six units and then it says the area of each triangle is 16 square units and I was trying to follow the step-by-step explanation from somebody else and I got 52 but I don’t know if I did that right

Step-by-step explanation:

Which concept can be used to prove that the diagonals of a parallelogram bisect each other?

a)congruent triangles
b)similar triangles
c)congruent rectangles
d)similar rectangles
Answer: Jiren is too strong. (congruent triangles)

Answers

The answer to this question is A)Congruent Triangles.

Hope I helped you :D

Answer:

Option: A is correct (congruent triangles)

Step-by-step explanation:

To prove that he diagonals of a parallelogram bisect each other we have to go through the following steps:

Angle DBA is congruent to angle BDC. Angle CMD is congruent to angle AMB. Triangle CMD is congruent to triangle AMB. Segment AM is congruent to segment MC. M is the midpoint of segment AC. Segment BD bisects segment AC. Segment BM is congruent to segment MD. M is the midpoint of segment BD. Segment AC bisects segment BD.

Hence we have to use the concept of congruent triangles in order to prove that the diagonals of a parallelogram bisect each other.

Hence, option A is correct

WILL MARK AS BRAINLIEST!!
What is the value of x?

Need help fast!

Answers

The large triangle is 3 times the size of the similar smaller triangle, so
.. x = 3*8 in = 24 in

Quadrilateral ABCD is inscribed in this circle. what is the measure of angle C?

Answers

Because opposite angles in a quadrilateral inscribed in a circle are supplementary. 

angle c = 180 - 2x - 38
angle c = 142 - 2x

Find a second-degree polynomial p such that p(1) = 5, p'(1) = 7, and p''(1) = 10.

Answers

When p(x) = ax^2 +bx +c
p'(x) = 2ax +b
p''(x) = 2a

You require
.. 2a = 10
.. 2a +b = 7
.. a + b + c = 5

Thus a=5, b=-3, c=3, and
.. p(x) = 5x^2 -3x +3
Final answer:

The given conditions suggest a second-degree polynomial of form p(x) = ax^2 + bx + c. By solving the given conditions a = 5, b = -3, and c = 3, yielding the polynomial p(x) = 5x^2 - 3x + 3.

Explanation:

The question is asking for a second-degree polynomial, which can generally be written in the form p(x) = ax^2 + bx + c. Given that p(1) = 5, that means a + b + c = 5. The derivative of p(x), p'(x) = 2ax + b, and p'(1) = 7, so 2a + b = 7. The second derivative, p''(x) = 2a, and p''(1) = 10, so 2a = 10 or a = 5. We can substitute a = 5 into the first two equations to find the values of b and c. So, b = -3 and c = 3. Therefore, the original function is p(x) = 5x^2 - 3x + 3.

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Help please !!!!!!!!!!!!!!!!!???!?

Answers

Answer: D) 5

---------------------------------------------

The idea is to go through each answer choice and see if that value is in the range. To do so, draw a horizontal line from that value at the y axis and see if it crosses the graph.

So for example, for choice A, we draw a horizontal line through -2 on the y axis. You'll see that the horizontal line crosses the green part of the piecewise function graph. So y = -2 is in the range. Similar situations will happen for B and C as well. 

The only time that this doesn't happen is when y = 5. Draw a horizontal line through 5 on the y axis. This horizontal line is too high to cross through any part of the piecewise function. So y = 5 is not in the range. 

Which is why the answer is choice D

Solve the system shown.

Answers

1. Rewrite the system:

 x+12y=68  (i)
 x=8y-12   (ii)

 2. Let's substitute the equation (ii) into the equation (i):

 x+12y=68
 (8y-12)+12y=68

 3. Then, you have:

 8y-12+12y=68

 4. When you clear "y", you have:

 20y-12=68
 20y=68+12
 20y=80
 y=80/20
 y=4

 5. You already have the value of "y". Now, you must substitute this value into the equation (ii):

 x=8y-12
 x=8(4)-12
 x=32-12
 x=20

 6. Therefore, the result is:

 x=20
 y=4

Anybody have a correct answer?

Answers

Lets get started :)

The formula for the Lateral Area of Square-based Pyramid
L.A = [tex] \frac{1}{2} [/tex] (Perimeter of the base) x Apothem
      
Given:
Apothem = 10 in
Side length = 5 in 
Perimeter of Square = 4 x side = 4 x 5 = 20 in

L.A = [tex] \frac{1}{2} [/tex] (20)(10)
      = [tex] \frac{1}{2} [/tex] (200)
      = 100 in²

Answer:

100

Step-by-step explanation:

How can Brady use fraction strips to show that 3 4 and 7 8 are NOT equivalent?

Answers

Brady needs three strips that each represent one fourth (1/4). He needs to line them up end to end. The new long strip he has created represents 3/4.

Next Brady needs seven strips that each represent one eighth (1/8). He needs to line them up end to end. The new long strip he has created represents 7/8.

If the two long strips he created were equal then 3/4 would equal 7/8 but as they are not equal this is not the case. Since the strip for 7/8 is longer, the fraction 7/8 is greater than 3/4.
Final answer:

To demonstrate that 3/4 and 7/8 are not equivalent, Brady can use fraction strips to visually compare the colored portions of the strips, which will clearly show that 7/8 is greater than 3/4 as it has more colored sections.

Explanation:

To show that 3/4 and 7/8 are not equivalent using fraction strips, Brady can follow these steps:

Take one strip and divide it into four equal parts to represent the fraction 3/4. Color three of these parts.Take another strip, divide it into eight equal parts to represent the fraction 7/8, and color seven of these parts.Compare the two colored strips side by side.

Brady will observe that the strip representing 7/8 has more colored sections than the strip representing 3/4, even though the strips are the same length. This visual comparison confirms that 3/4 is less than 7/8, thus they are not equivalent fractions. The fraction 7/8 is only one-eighth away from being a whole, whereas 3/4 is one-fourth away.

The digits 8,7,6,5,4,3,2,1 are written in a pattern over and over again. what will be the 5479th digit

Answers

The 5479th digit is 2.

What is Division?

One of the fundamental mathematical operations is division, which involves breaking a bigger number into smaller groups with the same number of components.

How many groups will be created, for instance, if 30 students need to be separated into groups of five for a sporting event? The division operation can be used to quickly and easily fix such issues. In this case, we must divide 30 by 5.

given:

8 digits written in that same order ( 8,7,6,5,4,3,2,1 ) over and over again

So, we have to find 5479th digit

= 5479/8

= 684 7/8

Now, The 684 quotient tells us how many complete times the sequence goes through the cycle of  8,7,6,5,4,3,2,1, and the 7 remainder tells us which member of the cycle is the 5479 digit.

Since the 7th member of the cycle is 2.

Hence, the 5479th digit is 2.

Learn more about division here:

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How to multiply fractions by a number with an exponent?

Answers

Multiplying exponents with different or same bases
Multiplying negative exponents
Multiplying variables with exponents
Multiplying square roots with exponents

In calculating the present value of $1,000 to be received 5 years from today, the discount factor has been calculated to be .7008. what is the apparent interest rate?

Answers

To calculate the present value we shall proceed as follows:
from the present value table, the percentage corresponding to discount factor of 0.7008 in 5 years is 7%
therefore using the formula:
FV=PV(1+r/100)^n
where:
FV=$1000
PV=?
r=7%

hence:
1000=PV(1+7/100)^5
PV=1000/(1+7/100)^5
PV=712.986

Brainliest!
World’s Busiest Airports
Airport
Total Passengers (millions)
Atlanta, Hatfield
80.2
Chicago, O’Hare
72.1
Los Angeles
68.5
Dallas/Ft Worth
60.7
London, Heathrow
64.6

Find the mean number of passengers in the world’s five busiest airports.
a.
69.22 million
c.
80.2 million
b.
346.1 million
d.
60.7 million

Answers

The answer will be A. 69.22


Hope this helps <3
The answer would be A

What is 5/15 written as a decimal???

What is 4/15 written as a decimal???

What is 3/15 written as a decimal???

Answers

the first when you do is divide 15 by 5 and you get 3 so. 0.333333 number 2 is 0.26666 the 3rd is 1 divided by 5 equals 0.2
Hello!

There are a couple ways we can use to convert a fraction to a decimal, but let's stick with the easiest one.

To convert a fraction to a decimal, simply divide the numerator (top part of the fraction) by the denominator (bottom part).

The first fraction is 5/15. Its numerator is 5, and its denominator is 15. Divide the top by the bottom.

5 ÷ 15 = 0.3333333333

Because this decimal keeps repeating, it is called a "repeating fraction."

We don't want to write all those 3's over and over again, so to indicate that it is a repeating decimal, simply put a bar above the 3.

Convert the other two fractions using the same method:

4 ÷ 15 = 0.266666667

Remember to put a bar above the repeating number.

3 ÷ 15 = 0.2

Since this decimal does not repeat, it is called a "terminating decimal". You do not have to put a bar above the 2.

Don't forget this method!

(50 points)
What is the product of -2x^3+x-5 and x^3-3x-4?
Is the product of -2x^3+x-5 and x^3-3x-4 equal to the product of x^3-3x-4 and -2x^3+x-5 explain your answer.

Answers

Answer:Yes, the products are equal because of commutativity. To find the product, use distributive law. Just simplify the below:

-2x^3(x^3-3x-4) + x(x^3-3x-4) - 5(x^3-3x-4)

Step-by-step explanation:

Do 1.5 cm, 3 cm, 1.5 cm make a triangle and what kind

Answers

Don't really know how to explain making one but the triangle will be a isosceles for sure. 

The lengths 1.5 cm, 3 cm, and 1.5 cm cannot form a triangle because the sum of the lengths of the two shorter sides is equal to the length of the longest side, which does not satisfy the Triangle Inequality Theorem.

The question asks if lengths 1.5 cm, 3 cm, and 1.5 cm can form a triangle, and if so, what kind of triangle it would be. To determine whether these lengths can form a triangle, we use the Triangle Inequality Theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

For these lengths:

1.5 cm + 1.5 cm = 3 cm1.5 cm + 3 cm > 1.5 cm1.5 cm + 3 cm > 1.5 cm

We see that when we add the lengths of the two shorter sides (1.5 cm + 1.5 cm), it equals the length of the longest side (3 cm). According to the Triangle Inequality Theorem, the lengths do not meet the condition for forming a triangle because the sum must be greater than, not equal to, the length of the third side. Therefore, these lengths cannot form a triangle.

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Which blood pressure readings for an adult would prompt a diagnosis of hypertension? a. 110/70 b. 140/96 c. 119/79 d. 130/79? helpppppppppppppppppppppp The late nineteenth century in America seemed to be a time when people were obsessed with wealth. It is therefore referred to as: N general, how can ms. thompson best address the learning styles of her female students in science activities?a. employ cooperative, noncompetitive teaching strategies that utilize many experiences with hands-on activities.b. employ competitive teaching strategies that utilize many experiences with hands- on activities.c. employ teaching strategies that require students to work independently with hand-on activities.d. employ teaching strategies utilizing computer-assisted, programmed instruction. Select the vocabulary word that best completes the sentence.Riana loved her car, but she still couldnt help but _____ her best friend's new car.A covetB askewC ravageD instigate In a paragraph of no less than 125 words, explain the three aspects involved in gaining a true appreciation for music? Explain the physiological basis for the difference in side effects between estrogenic and androgenic steroids. Sir launcelot's nobles advise him to go to war. who has invaded and laid waste to his lands Fungi are both beneficial and destructive. this fungus is living in and on the tree seen here. this is a ____________ relationship and could cause the tree to ______________.a.helpful; growb.parasitic; diec.helpful; make fruitd.symbiotic; reproduce Please help me !! Thank you!! In which sentence is the underlined phrase an adjective prepositional phrase?Robert Fulton was born in 1765 in Lancaster County, Pennsylvania. In 1807, the steamboat Clermont traveled from New York City to Albany in 32 hours. Robert Fulton sailed on the Seine River in a small paddle wheel boat. Robert Fultons invention of the steamboat gives him a prominent place in the history of transportation. Can someone help me making sure if my answers is right. Just need lil help. Thanks. List two agents of Erosion tim has 30 grapes. he keeps 9 grapes for himself. then he gives 7 grapes each to some of his friends. to how many friends does tim give grapes? How do you create a patrol map? (1 point)You create a patrol map by timing how long it takes you to travel between objects.You create a patrol map by picturing objects in your mind, and then describing them to others.You create a patrol map by surveying an area for trails.none of the above find the nonpermissible replacement for y in this expression Y+7/Y-3 This is the science of genes, heredity and variation of organisms. Maritza is buying a multipack of 3 pairs of socks for $25.98. She will save $6.24 by buying the multipack instead of buying 3 individual pairs of the same socks.If each pair of socks costs the same amount, how much does each pair of socks cost when bought individually? Which of the following was a consequence of Mexican independence?A. A dictatorship emerged due to heavy reliance on Spain for trade.B. A power struggle and civil war resulted in dictatorship.C. Colombian superiority in trade resulted in economic depression.D. The U.S. took Mexico as a colony, making it give up autonomy. Which pair of words completes the following analogy? team : player :: _____ fish : school finch : sparrow class : student mammals : reptiles