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NemiM [27]
3 years ago
7

You can save a significant amount of mortgage interest paid if you make one additional principal and interest payment a year. Th

is will reduce a 30-year mortgage by around 6 years. It also increases your equity in the home faster. If you choose to pay one additional mortgage payment a year by paying 1/12 of it each month (make certain to note the extra money is to reduce principal), how much will you pay each month for a mortgage of $152,000 at 3.5% for 16 years?
Mathematics
1 answer:
KatRina [158]3 years ago
8 0

Answer:

A = $237,120.00

I = A - P = $85,120.00

Equation:

A = P(1 + rt)

Calculation:

First, converting R percent to r a decimal

r = R/100 = 3.5%/100 = 0.035 per year.

Solving our equation:

A = 152000(1 + (0.035 × 16)) = 237120

A = $237,120.00

The total amount accrued, principal plus interest, from simple interest on a principal of $152,000.00 at a rate of 3.5% per year for 16 years is $237,120.00.

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12 less than k is -8 find k
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Answer:

4

Step-by-step explanation:

-8+12=4

4-12=-8

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The sum of two numbers is 86, and their difference is 20. Find the two numbers
sp2606 [1]

Answer:

x = 53, y = 33

Step-by-step explanation:

Let one of the numbers = x, & the other = y. Set the equations:

x + y = 86

x - y = 20

This is a system of equation, in which the variables must be true for both of them.

First, choose a equation to use. In this case, I will choose x + y = 86. Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Subtract y from both sides.

x + y = 86

x + y (-y) = 86 (-y)

x = 86 - y

Now, note the other equation: x - y = 20. You now know that x = 86 - y. Plug in 86 - y for x in the "other" equation:

x - y = 20

(86 - y) - y = 20

Simplify. Combine like terms:

86 - y - y = 20

86 - 2y = 20

Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS (Parenthesis, Exponents (& Roots), Multiplication, Division, Addition, Subtraction):

First, subtract 86 from both sides:

86 (-86) - 2y = 20 (-86)

-2y = 20 - 86

-2y = -66

Isolate the variable, y. Divide -2 from both sides:

(-2y)/-2 = (-66)/-2

<em>Note: Before we go any further, I want to remind you of division & multiplication rules. There are 3 kinds, when you are multiplying two positive numbers (+/+), when you are multiplying a positive number with a negative number (+/-), and when you are multiplying a two negative numbers (-/-)</em>. <em>Note the "table" in the bottom</em>:

________________________________________________________

(+/+) : Two positive numbers multiplied/divided with each other will always result in a positive answer:

Examples:

10/5 = 2

20/10 = 2

(+/-) : One positive number and one negative number multiplied/divided with each other will always result in a negative answer:

Examples:

20 x -5 = -100

50 x -3 = -150

(-/-) : Two negative numbers multiplied/divided with each other will always result in a positive answer:

Examples:

-30 x -5 = 150

-200/-10 = 20

________________________________________________________

Now, solve the equation:

(-2y)/-2 = (-66)/-2

y = -66/-2

Divide.

y = 33

One of your numbers (y) is 33. Plug in 33 for y in one of the equations:

x + y = 86

x + (33) = 86

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Subtract 33 from both sides.

x + 33 (-33) = 86 (-33)

x = 86 - 33

x = 53

Your answers: x = 53, y = 33.

Check: Plug in 53 for x, 33 for y in the equations:

<u>x + y = 86:</u>

(53) + (33) = 86

86 = 86 (True)

<u>x - y = 20</u>:

(53) - (33) = 20

20 = 20 (True)

Your answers: x = 53, y = 33

~

<u />

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Answer:

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Step-by-step explanation:

Since the pen is 12 feet by 12 feet you would multiply 12 by 12 for your answer of 144 square feet.

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