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The boy is 15 because twice the age of his sister is 12, then you add the three years to it and get 15
Y = mx + b
slope(m) = -2/3
(-4,1)...x = -4 and y = 1
now we sub and find b, the y int
1 = -2/3(-4) + b
1 = 8/3 + b
1 - 8/3 = b
3/3 - 8/3 = b
-5/3 = b
so ur equation is : y = -2/3x + (-5/3) which can be written as : y = -2/3x - 5/3
Answer:
adjacent angles
complementary angles
Step-by-step explanation:
vertical angles are across from each other and equal False
adjacent angles are next to each other True
Complementary angles add to 90 degrees ( If next to each other , they form a right angle) True
Supplementary angles. add to 180 degrees, ( if next to each other, they form a straight line) False
The amount of money she have one year after she started the investment = 1000((1 + r/t)^nt - 1) / (r/t); where r = 3% = 0.03, t = 12 and n = 1 year.
Amount = 1000((1 + 0.03/12)^(1 x 12) - 1) / (0.03 / 12) = 1000((1 + 0.0025)^12 - 1) / (0.03 / 12) = 1000((1.0025)^12 - 1) / 0.0025 = 1000(1.0304 - 1) / 0.0025 = 12,166.38
Therefore, the amount she has in her bank account at the end of the year is $12,166.38