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bulgar [2K]
3 years ago
11

Mandy obtains a $155,000 20/6 balloon mortgage with a rate of 4.25%. What will her monthly payments be?

Mathematics
1 answer:
elena55 [62]3 years ago
4 0

Answer:

The answer to the question is

Her monthly payments will be $279.98

Step-by-step explanation:

To solve the question we apply the equation for  monthly payments as follows

Fixed monthly mortgage repayment formula is

A = P*r*\frac{r(1+r)^n}{(1+r)^n -1}

Where

A = Payment amount per month

r = interest rate = 4.25 %

n = number of months = 20×12 months or 240 months

P = Mortgage value = $155,000

Therefore A = (0.0425)(155000)\frac{0.0425(1+0.0425)^{240}}{(1+0.0425)^{240} -1} = $279.98

For balloon mortgage the loan balance is paid off or refinanced at the end of the loan term

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Please help with this question.
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What is the 4th term of the geometric sequence with a=5 and ratio=3
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The diagonals of a rhombus measures 6cm and 8cm, what is the perimeter of this rhombus?
Kamila [148]
<h2><u>Diagram</u><u>:</u><u>-</u></h2>

\setlength{\unitlength}{1 cm}\begin{picture}(20,15)\thicklines\qbezier(1,1)(1,1)(6,1)\qbezier(1,1)(1,1)(1.6,4)\qbezier(1.6,4)(1.6,4)(6.6,4)\qbezier(6,1)(6,1)(6.6,4)\qbezier(6.6,4)(6.6,4)(1,1)\qbezier(1.6,4)(1.6,4)(6,1)\put(0.7,0.5){\sf A}\put(6,0.5){\sf B}\put(1.4,4.3){\sf D}\put(6.6,4.3){\sf C}\end{picture}

<h3><u>Required Answer</u><u>:</u><u>-</u></h3>

The diagonals of the Rhombus= d1 & d2=6cm and 8cm

Let the Side=a

As we know that in a Rhombus

{\boxed{\sf side=\sqrt {\left ({\dfrac{d1}{2}}\right)^2+\left ({\dfrac {d2}{2}}\right)^2}}}

  • Substitute the values

{:}\longmapsto\sf a=\sqrt {\left ({\dfrac {6}{2}}\right)^2+\left ({\dfrac {8}{2}}\right)^2 }

{:}\longmapsto\sf a=\sqrt {(3)^2+(4)^2}

{:}\longmapsto\sf a=\sqrt {9+16}

{:}\longmapsto\sf a=\sqrt{25}

{:}\longmapsto\sf a=5cm

<h2>_____________</h2><h3>Again </h3>

we know that in a Rhombus

\boxed{\sf Perimeter=4a}

  • Substitute the values

{:}\longmapsto\sf Perimeter=4×5

{:}\longmapsto\sf Perimeter=20cm

\thereforePerimeter of the rectangle is 20cm.

5 0
2 years ago
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