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Zarrin [17]
2 years ago
5

A family has a $93,411, 20-year mortgage at 5.4% compounded monthly. Find the monthly payment. Also find the unpaid balance afte

r 5 years and after 10 years The monthly payment is SO. (Round to two decimal places.)
Mathematics
1 answer:
Mademuasel [1]2 years ago
7 0

Answer:

  • payment: $637.30
  • 5-year balance: $78,505.48
  • 10-year balance: $58,991.59

Step-by-step explanation:

1. The relevant formula for computing the monthly payment A from principal P and interest rate r for loan of t years is ...

  A = P(r/12)/(1 -(1 +r/12)^(-12t))

Filling in the numbers and doing the arithmetic, we get ...

  A = $93,411(0.054/12)/(1 -(1 +0.054.12)^-(12·20)) ≈ $637.30

__

2. The relevant formula for computing the remaining balance after n payments of amount p on principal P at interest rate r is ...

  A = P(1 +r/12)^n -p((1 +r/12)^n -1)/(r/12)

Filling in the given values and doing the arithmetic, we get ...

  A = $93,411(1.0045^60) -637.30(1.0045^60 -1)/(0.0045) ≈ $78,505.48

__

3. The same formula with n=120 gives ...

  A = $93,411(1.0045^120) -637.30(1.0045^120 -1)/(0.0045) ≈ $58,991.59

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Genrish500 [490]
A)

A=20(1.25^t)

C=25+10t

b)

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c)

20(1.25^t)=25+10t

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4 0
3 years ago
Solve 3x² + 4x = 2. (2 points)
uysha [10]

Answer:

Step-by-step explanation:

As it is a second order equation, it means that it has two possible answers and they are x_1 and x_2.

The famous quadratic formula for solving any second order equation is the following:

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Where a is the coefficient of x^2, b is the coefficient of x, and c is the free term. In other words,

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as the equation should be in the following form:

a x^2 + bx+c = 0

Therefore the possible answer should be the following,

\frac{-4 + \sqrt{4^2 - 4*3*(-2)}}{2*3}=\frac{-4 +\sqrt{16 + 24}}{6} =\frac{-4 + \sqrt{40}}{6}=\\ \frac{-4 + \sqrt{4*10}}{6} = \frac{-4 + 2\sqrt{10}}{6}\frac{2*(-2 + \sqrt{10})}{2*3} = \frac{-2 + \sqrt{10}}{3}

by dividing the numerator and denominator by 2, we can deduce the following,

6 0
2 years ago
Find the domain and range of each function. 1.g(x)=x^3
qaws [65]

Domain: (-∞,∞) or All real numbers

Range: (-∞,∞) or All real numbers

6 0
2 years ago
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jekas [21]

Answer:

Total revenue = \frac{169}{2}\ln(13)-\frac{169}{4}  dollars

Step-by-step explanation:

R'(x)=(x+1)\ln(x+1)

Integrate with respect to x.

R(x)= ∫(x+1)\ln(x+1) dx

Take x+1=u

Differentiate with respect to x

dx=du

So,

R(x)= ∫u\ln(u)\,du

Use integration by parts: ∫f g dx = f∫ g dx-∫(∫g dx)f' dx

Therefore,

R(x)=  \frac{u^2}{2}\ln(u) -  ∫\frac{u^2}{2}\frac{1}{u}\,du

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R(x)=   \frac{(x+1)^2}{2}\ln(x+1)-\frac{(x+1)^2}{4}

To find total revenue from the sale of the first 12 calculators, put x=12

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Total revenue = \frac{169}{2}\ln(13)-\frac{169}{4}  dollars

4 0
2 years ago
Karen invested $2,000 in a special savings account.
WARRIOR [948]

Answer:

D. $512,000

Step-by-step explanation:

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<h2><em><u>Pls mark brainliest!</u></em></h2>
4 0
2 years ago
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