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Naya [18.7K]
3 years ago
10

25x=1252-x exponential equation

Mathematics
1 answer:
Leokris [45]3 years ago
8 0

Step-by-step explanation:

25x = 1252 - x

We know that in order to solve this equation, we have to move all the x terms to one side and all of the coefficients to the other. So, if we add x to both sides, we get 26x = 1252.

Then, we can divide both sides of the equation by 26 to solve for x, so x≅48.15 or x = 48.153846 repeating.

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Since beta is in the first quadrant, the final answer will be positive.

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Step-by-step explanation:

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3 years ago
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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