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Virty [35]
3 years ago
10

Rich and Melinda are comparing mortgages. Their mortgage is for $249,000. If they choose 15 years at 4%, their monthly payment w

ill be $1841.82. If they choose 20 years at 5%, their monthly payment will be $1643.29.
How much will be the total payback amount for each loan?
Mathematics
1 answer:
jok3333 [9.3K]3 years ago
6 0

Answer:

Term payback = 15 yr = $331527.6  20 yr = $394389.65 rounded up by 0.002. Shows 15 yr is $62862.05 less as result of return 5 yrs earlier.

Step-by-step explanation:

20 yr = $1643.29 at 105% = 82.1645 paid x 12 x 20 = 19719.48 interest + 1561.1257 to loan x 12 x 20 = 374670.168 total with Int at 5%=  394389.648  

15 yr=$1841.82.= $1841.82 - 73.6728= 1768.1472 to loan p/m = 20 yr 318266.496 + interest of 73.6728 = 13261.104 total with interest at 4%=331527.6

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A card is drawn from a deck of 10 cards numbered 1 through 10 and a number cube is rolled. Find each probability.
Helen [10]

Answer:

1. P (10 and 3) = 1/10 * 1*6 = 1/60.

2. P (two even numbers)  = 5/10 * 3/6 = 15/60 = 1/4.

3. P (two prime numbers)  = 4/10 * 3/6 = 12/60 = 1/5.

4. P (9 and an odd number)  = 1/10 * 3/6 = 3/60 = 1/20.

5. P (two numbers less than 4)  = 3/10 * 3/6 = 9/60 = 3/20.

6. P (two numbers greater than 5) = 5/10 * 1/6 = 5/60 = 1/12.

Step-by-step explanation:

The card has the numbers 1, 2, 3, 4, 5, 6, 7, 8, 9, and 10.

The number cube has the numbers 1, 2, 3, 4, 5, and 6

In the deck of cards, 5 are odd and 5 are even. Also, there are 4 prime numbers in the deck. Also, there are 3 even and 3 odd numbers on the number cube. Also, there are 3 prime numbers cube. Therefore,

P(Selecting any card from the deck) = 1/10.

P(Any number is rolled on the dice) = 1/6.

Assume that probability of the cards and the cube are independent. So the probabilities can be calculated.

1. P (10 and 3) = 1/10 * 1*6 = 1/60.

2. P (two even numbers)  = 5/10 * 3/6 = 15/60 = 1/4.

3. P (two prime numbers)  = 4/10 * 3/6 = 12/60 = 1/5.

4. P (9 and an odd number)  = 1/10 * 3/6 = 3/60 = 1/20.

5. P (two numbers less than 4)  = 3/10 * 3/6 = 9/60 = 3/20.

6. P (two numbers greater than 5) = 5/10 * 1/6 = 5/60 = 1/12.

So the probabilities have been mentioned!!!

3 0
3 years ago
The spread of data set X is greater than the spread of data set Y, and the data sets are normally distributed. Which statement i
rosijanka [135]
<span>The data of set X has a greater spread than that of set Y. This only means that the Standard Deviation of data set X is greater than the standard deviation of data set Y. The standard deviation is larger when data is more spread out.</span>
3 0
4 years ago
Read 2 more answers
A football is kicked toward the goal. the height of the ball is modeled by the function h(t) = −16t2 64t, where t equals the tim
diamong [38]

The function H(t) = -16t^2 + 64t exists in a parabola.

The axis of symmetry of a parabola exists at the midpoint between the two real roots.

The roots exist the solutions of H(t) = 0

To estimate the roots equation exists -16t^2 + 64t = 0

Factor t(-16t + 64) = 0

t = 0 and -16t + 64 =0

-16t + 64 = 0

t = 64 / 16 = 4

t = 4

Then the two roots are t = 0 and t = 4, and the axis of symmetry exists

t = (0+4)/2 = 4/2 = 2

<h3>How to estimate the axis of symmetry?</h3>

The axis of symmetry exists at t = 2.

It represents the time at which the ball is at the higher point, the maximum height.

You can find the maximum height replacing t = 2 in the function H(t)

H(t) = -16(2^2) + 64(2)

= 64 feet.

And you can also deduce that the second part of the flight will take 2 seconds, for a total flight time of 4 seconds.

To learn more axis of symmetry refers to:

brainly.com/question/21191648

#SPJ4

8 0
2 years ago
Triangle XYZ is reflected across the y-axis, and X = (4, –5). What are the coordinates of X’ ?
Nina [5.8K]
The coordinates of X would be X'(-4, -5).

The equation would be P(x,y) -> P'(-x, y) so you would make the x-coordinate a negative number and keep the y-coordinate the same.
3 0
3 years ago
Read 2 more answers
The lengths of the sides of a triangle are 11.25 inches, 9.25 inches, and 10.25 inches. What is the perimeter of the triangle?
solong [7]

Perimeter of the triangle is 30.75 inches.

Step-by-step explanation:

  • Step 1: Given sides of the triangle = 11.25 in, 9.25 in, 10.25 in
  • Step 2: Formula for perimeter of triangle = length of sides of the triangle
  • Step 3: Substitute in the formula

Perimeter = 11.25 + 9.25 + 10.25

= 30.75 inches

8 0
3 years ago
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