Answer:
C. 16 months faster
Step-by-step explanation:
You can solve this using a Financial calculator( TI BA II plus in this case)
First, find number of months if recurring monthly payment is $38.50;
Amount borrowed ; PV = -950
Monthly rate ; I/Y = 7.2%/12 = 0.6%
Monthly payment; PMT = 38.50
Future value ; FV = 0
Total duration; press CPT, N = 26.785 OR 27 months
Next, find number of months if recurring monthly payment is $93;
Amount borrowed ; PV = -950
Monthly rate ; I/Y = 7.2%/12 = 0.6%
Monthly payment; PMT = 93
Future value ; FV = 0
Total duration; press CPT, N = 10.573 OR 11 months
Difference = 27 -11 = 16
Therefore, she would be able to pay off the loan 16 months faster.
Answer:
Value of ∠ BFG = 135°
Step-by-step explanation:
Given:
AB || CD
∠ AFG = (3x + 15)°
∠ FGD = (5x - 5)°
Find:
∠ BFG
Computation:
We know that;
∠ AFG = ∠ FGD
3x + 15 = 5x - 5
3x - 5x = - 5 - 15
- 2x = - 20
2x = 20
x = 10
Value of ∠ AFG = 3x + 15
Value of ∠ AFG = 3(10) + 15
Value of ∠ AFG = 45°
∠ BFG = 180° - Value of ∠ AFG
∠ BFG = 180° - 45°
∠ BFG = 135°
Value of ∠ BFG = 135°
Ok! So, given a quadratic function<span>, </span>y<span> = ax</span>2<span> + bx + c, when "a" is positive, the </span>parabola <span>opens upward and the vertex is the minimum value. On the other hand, if "a" is negative, the graph opens downward and the vertex is the maximum value. Now, let's refer back to our original graph, </span>y<span> = </span><span>x2</span><span>, where "a" is 1.
Hope this helps.</span>
<h3>
Answer: Choice A</h3>
- Domain: x > 4
- Range: y > 0
========================================================
Explanation:
We want to avoid having a negative number under the square root. Solving 
leads to 
So it appears the domain could involve x = 4 itself; however, if we tried that x value, then we'd get a division by zero error.
So in reality, the domain is x > 4.
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The range of y = sqrt(x) is the set of positive real numbers. So y > 0 is the range for this equation. Shifting left and right does not affect the range, so the range of y = sqrt(x-4) is also y > 0.
We are dividing a positive number (3) over some positive number in the denominator. Overall, the expression 
is positive because positive/positive = positive.
Therefore, the range of the given equation is y > 0
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The graph is shown below. We have a vertical asymptote at x = 4 and a horizontal asymptote at y = 0. The green curve is fenced in the upper right corner (northeast corner).
Answer:
d
Step-by-step explanation:
