Answer:
$7995.85
Step-by-step explanation:
We will use simple interest formula to solve our given problem.
, where,
A = Amount after t years,
P = Principal amount,
r = Annual interest rate in decimal form,
t = Time in years.
Therefore, Judy will will pay back on January 20: <u>$7995.85</u>.
Answer: See below
Step-by-step explanation:
27. -(a-3)
28. (b-1)(b+3)
29. (c+4)(c+5)
30. d(d+5)
31. -(3/4)(2e-5)
Sorry - I don't have time to enter the details. Look for areas where the expressions can be factored in a manner that forms as many equivalent expressions in both the numerator and denominator.
For example: In problem 30:
(5d-20)/(d^2+d-20) * [??]/20d = 1/4
Factor:
<u>(5(d-4))</u> <u>d(d+5)</u> = 1/4
(d-4)(d+5<u>)</u> 20d
The (d-4), d+5, and d terms cancel, leaving
5/20 = 1/4
<h3>
Answer: y = 14</h3>
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Explanation:
The two angles involving x add up to 180 degrees. This is because they are same side interior angles (and because the horizontal lines are parallel)
So,
(angle BCF) + (angle EFC) = 180
(5x - 66) + (2x + 50) = 180
5x - 66 + 2x + 50 = 180
7x - 16 = 180
7x - 16+16 = 180+16 ... add 16 to both sides
7x = 196
7x/7 = 196/7 .... divide both sides by 7
x = 28
This will be used to help find y
Notice how the angles BCF and ACD are vertical angles, therefore they are congruent or the same measure
angle ACD = angle BCF
9y - 52 = 5x - 66
9y - 52 = 5*28 - 66 ..... replace x with 28 (since x = 28)
9y - 52 = 140 - 66
9y - 52 = 74
9y - 52+52 = 74+52 .... add 52 to both sides
9y = 126
9y/9 = 126/9 .... divide both sides by 9
y = 14
180 miles? seems like the question is incomplete
