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olga55 [171]
3 years ago
10

I need help please!

Mathematics
2 answers:
Zigmanuir [339]3 years ago
7 0

Answer:

(8,2)

Step-by-step explanation:

We are given equations:

   5x-3y=34       (1)

     x-2y=4         (2)

On multiplying second equation by 5, we get

    5x-10y=20    (3)

On subtracting equation (1) by (3), we get

    7y= 14

⇒   y=2

Putting y=2 in equation  (2)

   x-2×2=4

⇒  x= 8

Hence, correct option is:

   (8,2)

Nana76 [90]3 years ago
3 0
<span><span><span>x−<span>2y</span></span>=4</span>;<span><span><span>5x</span>−<span>3y</span></span>=34</span></span>Step: Solve<span><span>x−<span>2y</span></span>=4</span>for x:<span><span><span>x−<span>2y</span></span>+<span>2y</span></span>=<span>4+<span>2y</span></span></span>(Add 2y to both sides)<span>x=<span><span>2y</span>+4</span></span>Step: Substitute<span><span>2y</span>+4</span>forxin<span><span><span><span>5x</span>−<span>3y</span></span>=34</span>:</span><span><span><span>5x</span>−<span>3y</span></span>=34</span><span><span><span>5<span>(<span><span>2y</span>+4</span>)</span></span>−<span>3y</span></span>=34</span><span><span><span>7y</span>+20</span>=34</span>(Simplify both sides of the equation)<span><span><span><span>7y</span>+20</span>+<span>−20</span></span>=<span>34+<span>−20</span></span></span>(Add -20 to both sides)<span><span>7y</span>=14</span><span><span><span>7y</span>7</span>=<span>147</span></span>(Divide both sides by 7)<span>y=2</span>Step: Substitute2foryin<span><span>x=<span><span>2y</span>+4</span></span>:</span><span>x=<span><span>2y</span>+4</span></span><span>x=<span><span><span>(2)</span><span>(2)</span></span>+4</span></span><span>x=8</span><span>(Simplify both sides of the equation)</span>
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11. Twyla and Tony have a 30/5 balloon mortgage for $389,900 with a rate of 4.85%. How much will they pay in interest over the l
kykrilka [37]

Answer:

Explanation:

Twyla and Tony with a balloon mortgage of 30/5 will make constant payments over the space of 5 years and then complete the bulk balloon payment for 25 years remaining.

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We will calculate interest by calculating constant payments over the period of 5 years before balloon payment is due and adding them together then subtracting the mortgage loan given $389900

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A= P×r×r(1+r)^n/(1+r)^n-1

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r= interest rate on the mortgage loan

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A= $389900×0.0485×0.0485(1+0.0485)^360/(1+0.0485)^360-1

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FV= PV(1+r)^n - P((1+r)^n-1/r)

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Substitute:

FV= $389900(1+0.0485/12)^60-917.142((1+0.0485/12)^60-1/0.0485/12)

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= 496654.62-62141.87

FV = $434512.75

Therefore total payment made with interest over the life of the loan= balloon payment+ constant payments for five years= $434512.75+$55028.52

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Step-by-step explanation:

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