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olga_2 [115]
3 years ago
6

Kate and Ashton have been approved for a $150,000 30-year mortgage with an APR of 5.5%. How much is their monthly payment?

Mathematics
1 answer:
cupoosta [38]3 years ago
6 0

Their payment can be computed using the formula for amortization.

... A = P(r/12)/(1 -(1 +r/12)^(-12t)) . . . . where ...

... ... P is the principal amount of the loan, r is the annual rate, t is the number of years, A is the monthly payment.

Filling in your values, this becomes ...

... A = 150,000·(0.055/12)/(1 -(1 +.055/12)^(-360))

... A ≈ 851.68

Their monthly payment is $851.68.

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Step-by-step explanation:

All rectangles have angle measures of 90* and a dilation just decreases the size and does not change its shape or angles.

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Step-by-step explanation:

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2 years ago
Find the general solution for differential equation (D4 - 5D3 + 5D2 + 5D - 6)y = 0
Anastaziya [24]
Given differential equation, (D<span>4 </span>- 5D3<span> + 5D</span>2<span> + 5D - 6)y = 0</span>

=> For general solution of equation,

Solve D<span>4 </span>- 5D3<span> + 5D</span>2<span> + 5D - 6 = 0</span>

=> D<span>4 </span>- 5D3<span> + 6D</span>2<span> - D</span><span>2 </span>+ 5D - 6 = 0

=> D2<span> (D</span>2<span> - 5D + 6) - (D</span>2<span> - 5D + 6) = 0</span>

=> (D2<span> - 5D + 6)(D</span>2<span> - 1) = 0           ................................(1)</span>

<span>Now </span>

D<span>2  </span><span>- 1 = (D - 1)(D + 1)  and </span>

Factors of D2<span> - 5D + 6</span>

D2<span> - 5D + 6 = D</span>2<span> - 2D - 3D + 6</span>

= D(D - 2) - 3(D - 2)

= (D - 3)(D - 2)

Therefore, equation (1) implies

(D2<span> - 5D + 6)(D</span>2<span> - 1) = (D - 3)(D - 2)(D - 1)(D + 1) = 0</span>

=> D = 3, 2, 1, -1 or D = -1, 1,, 2, 3

=> General solution of differential equation is,<span>

=><span> y = C1 e-x + C2 ex + C3 e2x + C4 e3x</span> .
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6 0
3 years ago
There is a wood shop that makes boats. The number of boats constructed can be determined by the equation B =.04w, where B is the
Vlad [161]

1000 wooden logs were used

<em><u>Solution:</u></em>

Given that There is a wood shop that makes boats

The number of boats constructed can be determined by the equation:

B = 0.04w

Where "B" is the number of boats

"w" is the number of wooden logs used

<em><u>To find: number of wooden logs used when 40 boats are used</u></em>

To find the number of wooden logs used, substitute B = 40 in given equation

B = 0.04w

40 = 0.04w

0.04w = 40\\\\w = \frac{40}{0.04} = 1000

Thus 1000 wooden logs were used

6 0
3 years ago
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