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Alex777 [14]
2 years ago
13

Zack took out a 30-year mortgage for $70,000 at 9%. How much is his monthly mortgage payment? please explanation.. I assume $630

,000
Mathematics
1 answer:
BartSMP [9]2 years ago
8 0

Answer:

  $563.24

Step-by-step explanation:

The monthly payment on a mortgage loan is found using the amortization formula:

  A = P(r/12)/(1 -(1 +r/12)^(-12t))

where A is the monthly payment on a loan of P at interest rate r for t years.

Filling in the given values, we find the payment to be ...

  A = $70,000×(0.09/12)/(1 -(1 +0.09/12)^(-12·30)) ≈ $563.236

The monthly payment is about $563.24.

_____

<em>Additional comment</em>

Many graphing calculators and all spreadsheets have functions that will do this calculation for you.

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Find the equation of the line which passes through the point (7,2) and is perpendicular to y=5x-2
MariettaO [177]

Answer:

\displaystyle y=-\frac{1}{5}x+\frac{17}{5}

Step-by-step explanation:

<u>Equation of a line</u>

A line can be represented by an equation of the form

y=mx+b

Where x is the independent variable, m is the slope of the line, b is the y-intercept and y is the dependent variable.

We need to find the equation of the line passing through the point (7,2) and is perpendicular to the line y=5x-2.

Two lines with slopes m1 and m2 are perpendicular if:

m_1.m_2=-1

The given line has a slope m1=5, thus the slope of our required line is:

\displaystyle m_2=-\frac{1}{m_1}=-\frac{1}{5}

The equation of the line now can be expressed as:

\displaystyle y=-\frac{1}{5}x+b

We need to find the value of b, which can be done by using the point (7,2):

\displaystyle 2=-\frac{1}{5}*7+b

Operating:

\displaystyle 2=-\frac{7}{5}+b

Multiplying by 5:

10=-7+5b

Operating:

10+7=5b

Solving for b:

\displaystyle b=\frac{17}{5}

The equation of the line is:

\boxed{\displaystyle y=-\frac{1}{5}x+\frac{17}{5}}

7 0
3 years ago
Solve for x, given the equation Square root of x-5+7=11
denis-greek [22]

\sqrt{x-5+7} = 11\\x-5+7 = 11^2\\x-5+7 = 121\\x + 2 = 121\\x = 119

Check the answer:

\sqrt{119-5+7} \\\sqrt{114+7} \\\sqrt{121} \\11

This answer is correct,

x = 119

6 0
3 years ago
If 30% of the students in your class like basketball, how many students are in your class if 6 students like basketball?
steposvetlana [31]

Answer:

20

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
A 3pack of boxes of juice costs 1.09. A 12 pack of boxes cost 4.49. A case of 24 boxes costs 8.78. Which is the best buy?Explain
Leona [35]
1.09÷3= .3633 each
4.49÷12= .37416 each
8.78÷24= .3658 each

so the first one
5 0
3 years ago
How does the graph of g(x)=
kiruha [24]

Answer:

Og(x) is shifted 4 units left and 6 units down from f(x).

Step-by-step explanation:

To understand how the parent function is transformed, you have to look at a few things.

Firstly, is there a negative sign in front? If there is, then the function is flipped around the y-axis

Second, on the part where the x is included (in this case it is x+4) you have to see if there is a negative sign in front of this. If this is the case, then the formula is flipped around the x-axis

<em>Third, If the part with the x is being added to, then the graph is being translated to the left that many units. If it is being subtracted from, then it is being translated to the right that many units (in this case it is </em><u><em>x+4</em></u><em>, so we move to the left 4 units) ((it is the opposite of what would be common sense, I know))</em>

<em>Lastly, if the whole thing is being added to, move up that many units. If it is subtracted from, move down that many units (in this case it is 1/x+4 </em><u><em>- 6)</em></u><em> (( this one does follow common sense))</em>

There are other factors, such as leading coefficients (on just the x part or the whole thing) and other stuff I'm sure I don't remember )

For more information: https://mathhints.com/parent-graphs-and-transformations/

7 0
2 years ago
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