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Hunter-Best [27]
3 years ago
6

A loan of $50,000 is to be repaid in 8 equal end-of-year payments at 10% a. After 3 years, how much of the loan would be paid? b

. How much would it cost to buy down the interest to 9%?​
Mathematics
1 answer:
Aneli [31]3 years ago
4 0

Answer:

a)  = 13550 paid  by end yr 3                                                                                 b) 36450 * 0. 01 = $364.5 buy down interest by 1%

Step-by-step explanation:

50000 * 0.10 = 5000 paid yr 1 = 5000 /8 = 625 per payment   45000 * 0.10 = 4500 paid yr2  40500 *0. 10 = 4050 paid 40500-4050= 36450 left to pay 50000-36450 = 13550 paid    b) 36450 * 0. 01 = $364.5 buy down interest by 1%

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If f(x) =4x2 - 8x - 20 and g(x) = 2x + a, find the value of a so that the y-intercept of the graph of the composite function (fo
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Answer:

The possible values are a = -2.5 or a = 4.5.

Step-by-step explanation:

Composite function:

The composite function of f(x) and g(x) is given by:

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In this case:

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So

(f \circ g)(x) = f(g(x)) = f(2x + a) = 4(2x + a)^2 - 8(2x + a) - 20 = 4(4x^2 + 4ax + a^2) - 16x - 8a - 20 = 16x^2 + 16ax + 4a^2 - 16x - 8a - 20 = 16x^2 +(16a-16)x + 4a^2 - 8a - 20

Value of a so that the y-intercept of the graph of the composite function (fog)(x) is (0, 25).

This means that when x = 0, f(g(x)) = 25. So

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Solving a quadratic equation, by Bhaskara:

\Delta = (-8)^2 - 4(4)(-45) = 784

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x_{2} = \frac{-(-8) - \sqrt{784}}{2*(4)} = -\frac{20}{8} = -2.5

The possible values are a = -2.5 or a = 4.5.

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Step-by-step explanation:

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