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Xelga [282]
3 years ago
11

Artie is financing a condominium for $313,000. He gets a 30-year, fixed rate mortgage with a rate of 5.275%. How much interest w

ill he pay over the life of his loan?
Mathematics
2 answers:
CaHeK987 [17]3 years ago
8 0
310,969 based on a quizlet i found
AnnZ [28]3 years ago
5 0

Answer:

$302956.4

Step-by-step explanation:

Given that:

  • Principle (A): $313,000
  • Number of years: 30 = 30*12 = 360 months
  • Rate of 5.275% = 0.05275 /12 = 0.00434 per month

We need to find out the monthly payment:

P = A(\frac{i}{1-(1+i)^{-n}})

<=> P = 313000(\frac{0.0043}{1-(1+0.0043)^{-360}}) = 1710.99

Total payment:

T = nP

T = 360 ×1710.99 = $615969.4

The amount of interest he will pay over the life of his loan is:

I = T – A

= $615969.4 - $313000

= $302956.4

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The science club has five female and five male students. The club will randomly select two people to compete in the upcoming sci
vovangra [49]
To determine the probability that both people chosen are females, we will use the rule of multiplication. 
Let event A = the event that the first person chosen is female; and let B = the event that the second person is female. 
To start, it is given that there are 10 students, 5 of them are females.  Therefore, P(A) = 5/10
After the first selection, there are 9 students, 4 of them are females. Therefore, P(A|B) = 4/9
Based on the rule of multiplication:

P(A∩B) = P(A) * P(A|B)
P(A∩B) = (5/10) (4/9)
P(A∩B) = 20/90
P(A∩B) = 2/9

The probability that both people chosen are females is 2/9.
7 0
3 years ago
Read 2 more answers
from the edge of a 486-foot cliff, peyton shot an arrow over the ocean with an initial upward velocity of 90-feet per second
anygoal [31]

Answer:

9 seconds

Step-by-step explanation:

The complete question is

The altitude of an object, d, can be modeled using the equation below:

d=-16t^2 +vt+h

from the edge of a 486 foot cliff, Peyton shot an arrow over the ocean with an initial upward velocity of 90 feet per second. In how many seconds will the arrow reach the water below?

Let

d ----> the altitude of an object in feet

t ---> the time in seconds

v ---> initial velocity in ft per second

h ---> initial height of an object in feet

we have

d=-16t^2 +vt+h

we  know that

When the arrow reach the water the value of d is equal to zero

we have

v=90\ ft/sec

h=486\ ft

d=0\ ft

substitute the values and solve for t

0=-16t^2 +(90)t+486

-16t^2+90t+486=0

Multiply by -1 both sides

16t^2-90t-486=0

The formula to solve a quadratic equation of the form ax^{2} +bx+c=0 is equal to

x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}

in this problem we have

a=16\\b=-90\\c=-486

substitute in the formula

t=\frac{90(+/-)\sqrt{-90^{2}-4(16)(-486)}}{2(16)}

t=\frac{90(+/-)\sqrt{39,204}}{32}

t=\frac{90(+/-)198}{32}

t_1=\frac{90(+)198}{32}=9\ sec

t_2=\frac{90(-)198}{32}=-3.375\ sec

the solution is t=9 sec

see the attached figure to better understand the problem

4 0
3 years ago
Shown below is a blueprint for a rectangular kennel at a pet hotel.
allochka39001 [22]

Answer:

72 ft.

Step-by-step explanation:

In this problem, we are looking for the perimeter of the kennel. The perimeter of a rectangle has the formula, P=2l+2w, where <em>l</em> represents the length of the rectangle and <em>w</em> represents the width of the rectangle. We are given both the length and the width (or simply the two sides) of the rectangle, and all we need to do is plug it into the formula!

P=2*22+2*14\\P=44+28\\P=72

<u>Therefore, it would require 72 ft. of fencing to enclose the kennel.</u>

<u />

<em>I hope this helps! Let me know if you have any questions :)</em>

6 0
3 years ago
2. Find the value of x. Give your answer in<br> simplest radical form.<br> 20 <br> 16
Mariana [72]

Answer:

12

Step-by-step explanation:

The Pythagorean theorem shows that 400 or 20² - 256 or 16² = 144 or 12² which means that the other side is 12

x=12

4 0
2 years ago
1. a triangle has the base of 5/3x and the height of x<br> how do i work this equation
sashaice [31]

Answer:

                    Area  = 5/6 * x^2

Step-by-step explanation:

If you are given the base and height of a certain triangle, you will most likely be asked to find the area

The area of any triangle can be found by

Area  = base*height * (1/2)

In your case

Area = (5/3)*x*x* (1/2) = 5/6 * x^2

In your case, x should be a known parameter of your triangle, so if you have the value of the height, you should be able to find the area. Or conversely, if you have the area, you can find the length and height of your triangle.

3 0
3 years ago
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