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Blababa [14]
3 years ago
13

in a recent year one United States dollar was equal to about 82 Japanese yen how many Japanese yen are equal to $1,00 $1,000 $10

,000
Mathematics
1 answer:
Yuki888 [10]3 years ago
5 0
In a recent year, one United States dollar was equal to about 82 Japanese. How many Japanese yen are equal $100?$1,000?$10,000 
<span>Given is: </span>

<span>1 USD = 82 Japanese Yen   </span>

<span>Conversion: </span><span>

1.  100 USD x 82 JY / 1 USD = 8, 200 Japanese Yen</span> <span>
2.  1000 USD x 82 JY / 1 USD = 82, 000 Japanese Yen</span> <span>
3.  10, 000 USD x 82 JY / 1 USD = 820, 000 Japanese Yen</span> 
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Evalaute the following without using a calculator: <br> cos(13pi/6)
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Rhonda wants to take out a 30-year, $280,000 loan with a 4.4% APR. She is considering purchasing 2 points, which will decrease h
Paha777 [63]

Given Information:

Loan amount = $280,000

Annual Percentage Rate = APR = 4.4% = 0.044

Number of years = 30

Required Information:

Monthly payment with points = ?

Monthly payment without points = ?

Answer:

Monthly payment with points = $1,361

Monthly payment without points = $1,402.13

Step-by-step explanation:

The monthly payment can be found using,

MP = P\times \frac{r\times (1+r)^{n}}{(1+r)^{n} - 1}

P is the loan amount.

Where interest rate r is given by

r = \frac{APR}{12}

Total number of payments n are given by

n = 30\times12 = 360

Monthly payment with points:

Rhonda is considering purchasing 2 points and each decreases APR by 0.125%

So the APR becomes

APR = 4.4\% - 0.125(2)\\\\APR = 4.4\% - 0.25\%\\\\APR = 4.15\%

and the corresponding interest rate r is

r = \frac{APR}{12}\\\\r = \frac{4.15\%}{12}\\\\r = 0.3458\% \\\\r = 0.003458

Finally, the monthly payment is

MP =280,000\times \frac{0.003458\times (1+0.003458)^{360}}{(1+0.003458)^{360} - 1}\\\\MP =280,000\times 0.0048608 \\\\MP = \$ 1,361

Monthly payment without points:

Interest rate r is,

r = \frac{APR}{12} \\\\r = \frac{4.4}{12} \\\\r = 0.3667\% \\\\r = 0.003667

Monthly payment is,

MP =280,000\times \frac{0.003667\times (1+0.003667)^{360}}{(1+0.003667)^{360} - 1}\\\\MP =280,000\times 0.0050076 \\\\MP = \$ 1,402.13

So monthly payment with points is $1,361 and monthly payment without points is $1,402.13

6 0
3 years ago
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