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3 years ago

ASAP HELP what effect the interest rate has on your monthly mortgage payment.

Mathematics

1 answer:

m_a_m_a [10]3 years ago

6 0

Answer :-

Down payment

In general, a larger down payment means a lower interest rate, because lenders see a lower level of risk when you have more stake in the property. ... Mortgage insurance, which protects the lender in the event a borrower stops paying their loan, adds to the overall cost of your monthly mortgage loan payment.

Step-by-step explanation:

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Consider the differential equation,

kondor19780726 [428]

Answer:

The two solutions are given as $y_1(t)=\dfrac{1}{9}e^{-8t}+\dfrac{8}{9}e^{t}$ and $y_2(t)=\dfrac{-1}{9}e^{-8t}+\dfrac{1}{9}e^{t}$

Step-by-step explanation:

As the given equation is

$y''+7y'-8y=0\\$

So the corresponding equation is given as

$m^2+7m-8=0$

Solving this equation yields the value of m as

$(m+8)(m-1)=0\\m=-8, m=1$

Now the equation is given as

$y(t)=C_1e^{m_1t}+C_2e^{m_2t}$

Here m1=-8, m2=1 so

$y(t)=C_1e^{-8t}+C_2e^{t}$

The derivative is given as

$y'(t)=-8C_1e^{-8t}+C_2e^{t}$

Now for the first case y(t=0)=1, y'(t=0)=0

$y(t=0)=C_1e^{-8*0}+C_2e^{0}\\1=C_1+C_2\\\\y'(t=0)=-8C_1e^{-8*0}+C_2e^{0}\\0=-8C_1+C_2$

So the two equation of co-efficient are given as

$C_1+C_2=1\\-8C_1+C_2=0$

Solving the equation yield

$C_1=1/9 \\C_2=8/9$

So the function is given as

$y_1(t)=\dfrac{1}{9}e^{-8t}+\dfrac{8}{9}e^{t}$

Now for the second case y(t=0)=0, y'(t=0)=1

$y(t=0)=C_1e^{-8*0}+C_2e^{0}\\0=C_1+C_2\\\\y'(t=0)=-8C_1e^{-8*0}+C_2e^{0}\\1=-8C_1+C_2$

So the two equation of co-efficient are given as

$C_1+C_2=0\\-8C_1+C_2=1$

Solving the equation yield

$C_1=-1/9 \\C_2=1/9$

So the function is given as

$y_2(t)=\dfrac{-1}{9}e^{-8t}+\dfrac{1}{9}e^{t}$

So the two solutions are given as $y_1(t)=\dfrac{1}{9}e^{-8t}+\dfrac{8}{9}e^{t}$ and $y_2(t)=\dfrac{-1}{9}e^{-8t}+\dfrac{1}{9}e^{t}$

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3 years ago

1/X 1/4=7/12 solve and check solution

liraira [26]

$\frac { 1 }{ x } +\frac { 1 }{ 4 } =\frac { 7 }{ 12 } \\ \\ \frac { 1 }{ x } =\frac { 7 }{ 12 } -\frac { 1 }{ 4 }$

$\\ \\ \frac { 1 }{ x } =\frac { 7 }{ 12 } -\frac { 3 }{ 12 } \\ \\ \frac { 1 }{ x } =\frac { 4 }{ 12 } =\frac { 1 }{ 3 } \\ \\ 3x\cdot \frac { 1 }{ x } =\frac { 1 }{ 3 } \cdot 3x\\ \\ x=3$

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What's 0.00045 in scientific notation

tino4ka555 [31]

0.00045 = 4.5 × 10^-4

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Consider the following equations

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Answer: