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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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2/9 of Mrs. Hanak's 18 students are Minton walkers. How many students dismiss as Minton walkers?​
Alex

Answer:

2*2=4, 9*2=18, so 2/9 = 4/18, 4 students are Minton walkers.

Step-by-step explanation:

4 0
3 years ago
Whats the first operation needed to solve x/3-3=11
velikii [3]

Hello!

To solve algebraic equation, we will need to use the acronym SADMEP.

SADMEP is similar to PEMDAS, but it is strictly used for solving algebraic equations. Expanded, it is subtract, addition, division, multiplication, exponents, and then parentheses.

Looking at SADMEP, we see that subtract/addition comes first, then division/multiplication, and then exponents/parentheses.

In our equation, our goal is to isolate the variable, "x". Since we have two constants, -3 and 11, and -3 is on the side with the variable, we can add -3 to both sides of the equation first.

Therefore, the first operation needed to solve the equation is addition.

7 0
3 years ago
This is algebra 1 <br> (solve a system of equation using any method: word problems)
hodyreva [135]

Answer:

<em>Hence, it will take</em><em> 9 seconds </em><em>for kirk to run </em><em>63+9=72 yards </em><em>and catch upto Max. </em>

Step-by-step explanation:

Let 'y' represents the time Max and Kirk took to meet.

Let the distance between the destination where they will meet from the place where Max is be: x yards

So the distance of destination from initial position of kirk is x+9 yards ( As Max is given a head start of 9 yards)

  • As speed of Max is 7 yards per sec.

And speed=\dfrac{distance}{time}

Hence,

7=\dfrac{x}{y}

7y=x\\\\-x+7y=0-------(1)

  • also speed of kirk is 8 yards per second.

         By the similar definition of speed we have:

         8=\dfrac{x+9}{y}\\\\8y=x+9\\\\-x+8y=9--------(2)

Hence (1) and (2) are the required system of equation.

So on solving the system of equations by elimination method we have:

y=9 and x=63.

Hence, it will take 9 seconds for kirk to run 63+9=72 yards and catch upto Max.


5 0
3 years ago
6. Is this a relation? Is this a function? Why or why not?
Olin [163]

Answer:

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8 0
2 years ago
Read 2 more answers
"A clock is positioned on an auditorium wall with its center 9 feet above the floor. The second hand is 10 inches long and conti
GenaCL600 [577]

Answer: f(x) = 10in*cos(x*2*pi/60s) + 10in*sin(x*2*pi/60s) + 108in.

Step-by-step explanation:

When we have a circular motion, we can write this as:

f(x) = A*sin(k*x + f) + A*cos(k*x + f) + C.

where:

k is a constant that depends on the period.

f is a phase shift.

C is the mean height of the circular motion, in this case will be equal to the height of the center, that is 9ft.

C = 9ft.

A is the amplitude of the motion, in this case is equal to the radius, that is equal to the lenght of the second hand

A = 10in

But we should write both quantities in the same units, so we have:

1ft = 12in

then:

C = 9ft = 9*12in = 108in

Then our equation is:

f(x) = 10in*cos(k*x + f) + 10in*sin(k*x + f) + 108in

now, x = 0s coincides with the noon

so at x = 0s, the second hand is pointint to the twelve, this means that is in the max height, so we have:

F(0s) = 10in*cos(0 + f) + 10in*sin(0 + f) + 108 in

Now, the maximum value will be when the value inside the sinusoidals is 0.

(because cos(0) = 1 and sin(0) = 0)

then we have that f = 0.

Now, we know that it takes 60 seconds to do a full revolution, and for the sinusodial functions the period is 2*pi

Then we have:

c*60s = 2*pi

c = 2*pi/60s.

Then the equation is:

f(x) = 10in*cos(x*2*pi/60s) + 10in*sin(x*2*pi/60s) + 108in.

4 0
3 years ago
Read 2 more answers
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