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Fofino [41]
3 years ago
14

A couple can afford to make a monthly mortgage payment of $700. If the mortgage rate is 2% and the couple intends to secure a 30

-year mortgage, how much can they borrow?
Mathematics
1 answer:
Sever21 [200]3 years ago
5 0
<h3>Answer:    $189,383.96</h3>

========================================================

Explanation:

  • r = 0.02 = decimal form of 2% annual interest
  • i = monthly interest rate
  • i = r/12 = 0.02/12 = (2/100)/12 = 1/600.
  • n = number of months = 12*30 = 360
  • P = monthly payment = 700

We'll plug those items into the formula below.

L = loan amount

L = P*( (1+i)^n - 1)/( i*(1+i)^n )

L = 700*( (1+1/600)^360 - 1 )/( 1/600*(1+1/600)^360 )

L = 189,383.961539639

L = 189,383.96

The couple can afford to borrow at most $189,383.96

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A supermarket needs to display 64 boxes of detergent.
Amiraneli [1.4K]
  • All the listed combination of row and boxes are correct and can be chosen from.

From the question, we are asked to find the row arrangement of a stack of boxes. Let us take a look at each one of the aforelisted answers

  • x rows with 16 boxes in each row
  • 8 rows with x boxes in each row
  • 16 rows with x boxes in each row

Since we are told that the total number of boxes to be stacked is 64, then for the first arrangement, we can deduce that the "x" is going to be 4. This is because multiplying 4 by 16 gives 64. For the second row, using the same calculation, we find that "x" is 8. And that of the third gives our "x" to be 4 as well. We can then adjudge that;

  • 4 rows with 16 boxes in each row
  • 8 rows with 8 boxes in each row
  • 16 rows with 8 boxes in each row

Bearing this in mind, we can see that each of the 3 answers fits into the requirements we are asked.

  • At least 3 rows, and at least 4 boxes in each row.

Hence, all of the options are correct.

To learn more about rows and columns, see here brainly.com/question/13196178

5 0
3 years ago
a square has a side length of x. A rectangle has a length that is 4 inches longer than the square and a width that is 2 inches s
vodomira [7]

Answer:

Length of the rectangle is = 8 inches.

Step-by-step explanation:

Given :

Area of square = Area of the rectangle

According to the question:

Length of the square be 'x'.

Its area = (Side)*(Side) =x^2   ...equation (i)

Length of the rectangle = (x+4)

Width of the rectangle = (x-2)

Area of the rectangle =Length * Width

⇒(x+4)(x-2)=x^2-2x+4x-8

⇒x^2+2x-8          ...equation  (ii)

Equating both the equation as area of both the figure are equal.

⇒ x^2+2x-8=x^2

⇒ 2x-8=0     ...subtracting x^2 both sides

⇒ 2x=8           ...dividing both sides with 2

⇒ x=\frac{8}{2}=4 inches

Plugging the value of x=4 in the length of the rectangle.

We have,

⇒(x+4)=(4+4)=8

So the length of the rectangle = 8 inches.

4 0
3 years ago
Evaluate g(x)=6x when x=-3,0, and 4 .
hram777 [196]

Answer:

-3 = -18

0 = 0

4 = 24

Step-by-step explanation:

-3... so 6(-3) equals -18 because a positive times a negative equals a negative

0... so 6 (0) equals 0 because anything multiplied by 0 equals 0

4... so 6 (4) equals 24

() means multiplied by so if it’s y(x) then that means y is multiplied by x :)

3 0
3 years ago
Which of the following sets is not finite?
Alja [10]
\{x|x\in\mathbb{N}\ \wedge\ n < 10\}=\{0;\ 1;\ 2;\ 3;\ 4;\ 5;\ 6;\ 7;\ 8;\ 9\}-FINITE\\\\\{x|x\in\mathbb{Z}\ \wedge\ 0 < x < 10\}=\{1;\ 2;\ 3;\ 4;\ 5;\ 6;\ 7;\ 8;\ 9\}-FINITE\\\\\{x|x\in\mathbb{Z}\ \wedge\ x < 0\}=\{...;-4;-3;-2;-1\}=\mathbb{Z}^--NOT\ FINITE
8 0
3 years ago
Sorry I forgot to take the picture.please solve 16-17
kaheart [24]

Answer:

Can't see the picture because old computer but isn't 16 minus 17 = -1 (negative 1)

Step-by-step explanation:

4 0
3 years ago
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