First, determine the annual effective interest based on the annual interest and the compounding,
ieff = (1 + i/m)^m - 1
Substituting,
ieff = (1 + 0.03/12)^12 - 1 = 0.0304
To determine the future worth (F) of the current investment (P) is,
F = P(1+ieff)^n
Substituting all the known values with n unknown,
3000 = 175(1 + 0.0304)^n
Solving for n gives an n = 94.8867 years
Among the choices, the nearest value is 94.8377 years.
Denote by M the point of intersection of the medians.
Denote also the distance DM by x and the distance QM by y.
From the median properties of triangles we know that
Also,
Since the medians are perpendicular, we deduce that:
Then, since
Divide 486 pounds with 27 boxes
486/27= 18
Answer: 18 pounds for each box
A square is the same length on each side so each side would be 9
9+9+9+9= 36ft (perimeter)
Again each side if 9 feet to find the area u just multiply the length and width here the length and width are the same (9)
9•9= 81 (area)
Answer:
1) g ≥ 17
2) g > -10
3) g > -1
Step-by-step explanation:
1) 7 (g-19) ≥ -14 divide both sides by 7
g - 19 ≥ -2 add 19 to both sides
∴ g ≥ 17
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2) 3(7g+17) > -19 + 14g
21g + 51 > -19 + 14g
21g - 14g> -19 - 51
7g > -70
g > -10
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6(-6g+6) > -2(19g-17)
-36g + 36 > -38g + 34
-36g + 38g > 34 - 36
2g > -2
g > -1
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