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Rudik [331]
3 years ago
14

A family wants to purchase a house that costs $185,000 . They plan to take out a $135,000 mortgage on the house and put $50,000

as a down payment. The bank informs them that with a 15-year mortgage their monthly payment would be $925.14 and with a 30-year mortgage their monthly payment would be $615.65 . Determine the amount they would save on the cost of the house if they selected the 15-year mortgage rather than the 30-year mortgage. Savings = $
Mathematics
2 answers:
kolezko [41]3 years ago
7 0

Answer:

$55,108.80

Step-by-step explanation:

15 year mortgage

925.14/month times 180 months =

$166,525.20

30 year mortgage

615.65/month times 360 months =

$221,634

$221,634 - $166,525.20 =

$55,108.80

So the difference between the 15 year mortgage and the 30 year mortgage is $55,108.80

Semmy [17]3 years ago
6 0

Answer:

4,592.4

Step-by-step explanation:

925.14×15 = 13,877.1

615.65x30=<u>18</u><u>,</u><u>469</u><u>.</u><u>5</u><u> </u>

<u> </u><u> </u><u>18</u><u>,</u><u>469.5</u>

<u>-</u><u> </u><u>13</u><u>,</u><u>877</u><u>.</u><u>1</u>

<u>=</u><u> </u><u>4</u><u>,</u><u>592</u><u>.</u><u>4</u>

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Scorpion4ik [409]

In order to use the fundamental theorem of line integrals, you need to find a scalar potential function - that is, a scalar function <em>f(x, y)</em> for which

grad <em>f(x, y)</em> = <em>F</em><em>(x, y)</em>

This amounts to solving for <em>f</em> such that

∂<em>f</em>/d<em>x</em> = <em>x</em> + 3

∂<em>f</em>/∂<em>y</em> = 6<em>y</em> + 3

Integrating both sides of the first equation with respect to <em>x</em> gives

<em>f</em> = 1/2 <em>x</em> ^2 + 3<em>x</em> + <em>g(y)</em>

Differentiating with respect to <em>y</em> gives

∂<em>f</em>/∂<em>y</em> = d<em>g</em>/d<em>y</em> = 6<em>y</em> + 3

Solving for <em>g</em> gives

<em>g</em> = ∫ (6<em>y</em> + 3) d<em>y</em> = 3<em>y</em> ^2 + 3<em>y</em> + <em>C</em>

and hence

<em>f(x, y)</em> = 1/2 <em>x</em> ^2 + 3<em>x</em> + 3<em>y</em> ^2 + 3<em>y</em> + <em>C</em>

<em />

(a) By the fundamental theorem, the integral of <em>F</em> along any path starting at the point <em>P</em> (1, 0) and ending at <em>Q</em> (3, 3) is

∫ <em>F</em><em>(x, y)</em> • d<em>r</em> = <em>f</em> (3, 3) - <em>f</em> (1, 0) = 99/2 - 7/2 = 46

(b) Now we're talking about a closed path, so the integral is simply 0. We can verify this by checking the integral over the origin-containing paths:

• From the origin to <em>P</em> :

∫ <em>F</em><em>(x, y)</em> • d<em>r</em> = <em>f</em> (1, 0) - <em>f</em> (0, 0) = 7/2 - 0 = 7/2

• From <em>Q</em> back to the origin:

∫ <em>F</em><em>(x, y)</em> • d<em>r</em> = <em>f</em> (0, 0) - <em>f</em> (3, 3) = 0 - 99/2 = -99/2

Then the total integral is 7/2 + 46 - 99/2 = 0, as expected.

6 0
2 years ago
NEED HELP ASAP.....At the 2012 Summer Olympic Games in London, in the Men's Shot Put qualifying round, the distances ranged from
jeka57 [31]

Answer:

About 6 athletes.

Step-by-step explanation:

We are concerned only with the percent of athletes that are above one standard deviation.

Between one standard deviation and two standard deviations, there is 13.6% of the athletes.

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The sum of those percentages is 15.9% of 40 = 0.159 · 40 = 6.36 or about 6 athletes.

Hope this helps.

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3 years ago
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Marta_Voda [28]
Let's solve this problem step-by-step.

STEP-BY-STEP SOLUTION:

We will be using simultaneous equations to solve this problem.

First we will establish the equations which we will be using as displayed below:

Equation No. 1 -

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Equation No. 1 -

A = 2B + 12

To begin with, let's make ( A ) the subject in the first equation as displayed below:

Equation No. 1 -

A + B = 90

A = 90 - B

Next we will substitute the value of ( A ) from the first equation into the second equation and solve for ( B ) as displayed below:

Equation No. 2 -

A = 2B + 12

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Then we will substitute the value of ( B ) from the second equation into the first equation to solve for ( A ) as displayed below:

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A = 64°

ANSWER:

Therefore, the answer is:

A = 64°

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2 years ago
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Sergio039 [100]

Answer:

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8 0
3 years ago
5 and 1/4 divided by negative 6 simplify
Zanzabum

Answer:

-0.875

Step-by-step explanation:

5 1/4 = 5.25

5.25/ -6 = -0.875

8 0
2 years ago
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