MATHEMATICS HIGH SCHOOL

Help me with Balloon Mortgages?

1.    A bank isadvertising the following mortgage:

$245,000
20/4 balloon
5.8% annual rate

Monthly Payment: $1,727.11
Balloon Payment: $216,789.79

What is the total cost of this balloon mortgage?

Answers

Answer 1
Answer: I just answered this question. Here's my answer.

Home price is $245,000. There is no down payment mentioned. 
I understand 20/4 as amortized over 20 years and balloon payment after 4 years.

Total cost would be =  Balloon payment + Total monthly payment 

4 years x 12 months = 48 months
Balloon payment =       216,789.79 x 1 mo =   216,789.79
Total monthly payment = 1,727.11 x 47 mos =  81,174.17

Total cost = 216,789.79 + 81,174.17 = 297,963.96

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I keep getting different answers. Can somone explain how I would set it all up?

Answers

Answer:

MY=80

Step-by-step explanation:

MX=MY ( since M is the midpoint)

2x+10=3x-5

10+5=3x-2x

15=x

MX+MY=MX

2x+10+3x-5=MY

2(15)+10+3(15)-5=MY

MY=80

Which quadratic equation has the roots 0 and 3

Answers

Umm do we get like     A, B C D answers to help you with?

Which expression represents the total perimeter of her sandwich, and if x = 1.2, what is the approximate length of the crust?8x2 + 34; 43.6 centimeters
8x2 + 34; 45.52 centimeters
4x2 + 17; 21.8 centimeters
4x2 + 17; 22.76 centimeters

Answers

Substituting the value of X in each of the equations.The best answer would be the equation satisfying both of the sides.
Therefore,
Substituting the values in the second equation gives the best answer.
8(1.2)^2 + 34 = 45.52 centimeters

The correct answer is the second option.

B) 8x2 + 34; 45.52 centimeters

Lyra and Donna are testing the two-way radios they built for their high school science project. Lyra goes to the top of a building that is 22 meters high with one of the radios and stands directly above the building’s entrance. Donna walks out of the entrance, perpendicular to the building, with the other radio. If Donna is more than 50 meters from the entrance, the connection between the radios breaks. What is the range of communication for the two radios to the nearest meter?

Answers

We use the Pythagorean Theorem: c^2=a^2+b^2. In this case :
c-nearest range between two radios
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b=50 m ( distance from an entrance)
c^2=22^2+50^2˝=484+2500=2984
Finally: c=sqrt(2984) (square root of 2984)=54.626 m
Answer: The range of communication for the two radios is 54.626 meters. 

Which of the following pairs of fractions are like fractions?a. 1/2 and 4/8
b. 7/9 and 8/9
c. 5/11 and 15/33
d. 4/3 and 3/4

Answers

A 1/2 and 4/8 because to make them both have same denominator you multiply 1/2 by 2 and get 4/8 or you can do it the easy way and simpliphy 4/8 to 1/2. 4 is half of 8 so there for it would be 1/2.

sand is falling at the rate 27 cubic feet per minute onto a conical pile whose radius is always equal to its height. how fast is the height of the pile growing when the height is exactly (a) 3 feet (b) 6 feet (c) 9 feet.

Answers

Answer:

Step-by-step explanation:

The formula for the volume of a cone is V = (1/3)(area of base)(height).  If the radius is always equal to the height of the cone, then V = (1/3)(πh²)(h), where we have eliminated r.  Shortened, this comes out to V = (1/3)(π)(h³).  

We want to know how fast h is increasing when h = 3 ft.

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Then 27 ft³/min = π(3 ft)²(dh/dt) and solve for dh/dt:  (3/π) ft/min = dh/dt when h = 3 ft.
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