Let the five terms be: a, a + d, a + 2d, a + 3d, a + 4d, then
a + a + d + a + 2d + a + 3d + a + 4d = 5a + 15d = 40
i.e. a + 3d = 8
Also, (a + 2d)(a + 3d)(a + 4d) = 224
(a + 3d - d)(a + 3d)(a + 3d + d) = 224
(8 - d)(8)(8 + d) = 224
(8 - d)(8 + d) = 224/8 = 28
64 - d^2 = 28
d^2 = 64 - 28 = 36
d = sqrt(36) = 6
But a + 3d = 8
a + 3(6) = 8
a = 8 - 18 = -10
Therefore, the term of the sequence is: -10, -10 + 6, -10 + 2(6), -10 + 3(6), -10 + 4(6)
= -10, -4, -10 + 12, -10 + 18, -10 + 24
= -10, -4, 2, 8, 14
There are 52 weeks in a year so multiply 356.78 by 52 and you get a yearly salary of 18,552.56 (she probably didnt went to college)
The greatest common factor is 9.
Answer:
17/20
Step-by-step explanation:
0.85 = 85/100 = 17/20
The number 0.85 can be written using the fraction 85/100 which is equal to 17/20 when reduced to lowest terms.
Step-by-step explanation:
Given
f(x) = 3x² + 9
g(x) = 5x
(fog)x = f ( 5x)
= 3 ( 5x) ² + 9
= 3 * 25x² + 9
= 75x² + 9
Hope it will help :)
