Angles answer question with picture thx

A small restaurant was purchased for 316000 with no down payment and a 6.6% loan for 10 year. Find the monthly payment

DiKsa [7]

We will have the following:

First, we calculate the total payment per year:

$p_y=316000\cdot0.066\Rightarrow p_y=20856$

Now, we calculate the monthly payment:

$316000=\frac{p}{0.0055}(1-\frac{1}{(1+0.066)^{120}})\Rightarrow1738=p(0.9995331951\ldots)$ $\Rightarrow p=\frac{1738}{(1-\frac{1}{(1+0.066)^{120}})}\Rightarrow p=1738.811686$

So, the monthly payment will be approximately $1738.811686.

4 0

1 year ago

No link no bot right please

mrs_skeptik [129]

9514 1404 393

Answer:

10.49

Step-by-step explanation:

Since we know 110 = 10² +10, we can make a first approximation to the root as ...

√10 ≈ 10 +10/21 . . . . . where 21 = 1 + 2×integer portion of root

This is a little outside the desired approximation accuracy, so we need to refine the estimate. There are a couple of simple ways to do this.

One of the best is to use the Babylonian method: average this value with the value obtained by dividing 110 by it.

((220/21) + (110/(220/21)))/2 = 110/21 +21/4 = 881/84 ≈ 10.49

An approximation of √110 accurate to hundredths is 10.49.

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The other simple way to refine the root estimate is to carry the continued fraction approximation to one more level.

For n = s² +r, the first approximation is ...

√n = s +r/(2s+1)

An iterated approximation is ...

s + r/(s +(s +r/(2s+1)))

The adds 's' to the approximate root to make the new fraction denominator.

For this root, the refined approximation is ...

√110 ≈ 10 + 10/(10 +(10 +10/21)) = 10 +10/(430/21) = 10 +21/43 ≈ 10.49

_____

Additional comment

Any square root can be represented as a repeating continued fraction.

$\displaystyle\sqrt{n}=\sqrt{s^2+r}\approx s+\cfrac{r}{2s+\cfrac{r}{2s+\dots}}$

If "f" represents the fractional part of the root, it can be refined by the iteration ...

$f'=\dfrac{r}{2s+f}$

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The above continued fraction iteration adds 1+ good decimal places to the root with each iteration. The Babylonian method described above doubles the number of good decimal places with each iteration. It very quickly converges to a root limited only by the precision available in your calculator.

4 0

3 years ago

Explain how to distinguish between a rational number and an irrational number.

Andrews [41]

Answer:

An irrational number is a number which cannot be expressed in a ratio of two integers. In rational numbers, both numerator and denominator are whole numbers, where the denominator is not equal to zero. While an irrational number cannot be written in a fraction.S

Step-by-step explanation:

An irrational number is a number which cannot be expressed in a ratio of two integers. In rational numbers, both numerator and denominator are whole numbers, where the denominator is not equal to zero. While an irrational number cannot be written in a fraction.S

4 0

4 years ago

Read 2 more answers

Compare the fractions. −67 −17

slega [8]

-17 is fifty more positive than -67 (hope this help)

7 0

3 years ago

Use the drawing tool(s) to form the correct answer on the provided graph.

Kitty [74]

Answer:

The graph in the attached figure