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algol [13]
3 years ago
8

Balloon Payment (Math)

Mathematics
1 answer:
fiasKO [112]3 years ago
7 0

Answer:

  96

Step-by-step explanation:

The loan duration is for 8 years, a total of 12·8 = 96 monthly payments. The 96th payment is the balloon payment.

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If a bracelet takes 5/6 foot of string how much string will it take to make 12 bracelets
const2013 [10]
5/6 x 12


60 / 6  = 10

It takes 10 feet of string to make 12 bracelets.

3 0
4 years ago
Express (8 - 3sqrt(2))/(4 + 3sqrt(2)) in the form of a + b * sqrt(2) where a and b are integers.​
Naya [18.7K]

Answer:   \boldsymbol{-25+18\sqrt{2}}

The expression is in the form a+b\sqrt{2} where a = -25 and b = 18

==========================================================

Work Shown:

Let x = 3\sqrt{2} and then square both sides

x = 3\sqrt{2}\\\\x^2 = \left(3\sqrt{2}\right)^2\\\\x^2 = \left(3\right)^2*\left(\sqrt{2}\right)^2\\\\x^2 = 9*2\\\\x^2 = 18\\\\

We'll use both x and x^2 later on.

---------------------

The denominator is in the form 4+x. We'll multiply top and bottom by 4-x to then use the difference of squares rule. This will allow us to eliminate the square root in the denominator.

\frac{8-3\sqrt{2}}{4+3\sqrt{2}}\\\\\frac{8-x}{4+x}\\\\\frac{(8-x)(4-x)}{(4+x)(4-x)}\\\\\frac{32-8x-4x+x^2}{16-x^2} \ \text{ difference of squares rule}\\\\\frac{32-12x+x^2}{16-x^2}\\\\

\frac{32-12*3\sqrt{2}+18}{16-18} \ \text{ plug in } x = 3\sqrt{2} \text{ and } x^2 = 18\\\\\frac{50-36\sqrt{2}}{-2}\\\\\frac{-2(-25+18\sqrt{2})}{-2}\\\\\boldsymbol{-25+18\sqrt{2}}

Therefore,

\frac{8-3\sqrt{2}}{4+3\sqrt{2}}=\boldsymbol{-25+18\sqrt{2}}

-------------------------------------

Checking the answer:

Use a calculator to find that,

\frac{8-3\sqrt{2}}{4+3\sqrt{2}} \approx 0.45584412271571 \\\\-25+18\sqrt{2} \approx 0.45584412271571

We get the same decimal approximation, which helps confirm the correct answer.

Or you could use the idea that if M = N, then M-N = 0 to subtract the original expression M and the final result N. You should get 0 or very close to it.

3 0
3 years ago
What is 10 times 7 thousands in unit form
Irina18 [472]
10 times 7 is 70.
So, it is 70 thousands.
Or in other words, seven ten-thousands.
or just write it normally: 10*7*1000=70000=seventy thousand
Wee!
7 0
3 years ago
Read 2 more answers
C)please hurrrrrryyyy!!!! I’m
user100 [1]

Answer:

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Step-by-step explanation:

order them by small to big to have the biggest one and I am a middle schooler so I hope this works!

4 0
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Mr.Roberts see a rare 1937 penny.the cost of the penny is $210.if he saves $a week,Mr Roberts have enough money to buy the penny
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No because thier is only about 52.1 weeks in a year so he would only have about  52 dollors.
4 0
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