Answer:
8. 1483.33
9. 21 months
Step-by-step explanation:
8. Morgan's income after taxes is 55000/12 = 4583.33 per month. The amount available after expenses is 4583.33 -3100.00 = 1483.33 per month.
Morgan is able to put $1483.33 per month into savings.
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9. If Morgan is able to save $1483.33 per month, it will take her ...
$30,000/$1483.33 ≈ 20.2
months to save $30,000. After 20 months, she won't have quite enough, so it will take her one more month to save the desired amount.
It will take Morgan about 21 months to save $30,000.
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If you like, you can write an equation for "m", the number of months it will take Morgan to save 30,000:
1483.33×m = 30,000
m = 30,000/1483.33 ≈ 20.2 . . . . . . divide by the coefficient of m
Step-by-step explanation:
since in a triangle each side must be shorter than the sum of the other 2 sides (otherwise the end points cannot connect, and there is no triangle), the necessary inequality condition must be
side < 1 + 2 = 3
so,
side < 3
for a lower limit let's go through the cases
1 < 2 + side (is always true)
2 < 1 + side
1 < side (side must be larger than 1)
and again
side < 1 + 2 = 3
side < 3
so the full restriction for the third side is
1 < side < 3
Answer:
f (3) is equal to 31
Step-by-step explanation:
f (3) means that x is equal to 3 [hence f (x) ---> f (3)]
Plugin 3 into all the x values to solve:
4(3)^2 - 2(3) + 1
4(9) - 6 + 1
36 - 6 + 1
30 + 1
31
f (3) is equal to 31
5.05654165E45 is your answer
Answer:
A = (Z-CD - EFG)/B
Step-by-step explanation:
AB + CD + EFG = Z.
Subtract CD and EFG from each side
AB + CD + EFG-CD -EFG = Z-CD - EFG
AB = Z-CD - EFG
Divide each side by B
AB /B = (Z-CD - EFG)/B
A = (Z-CD - EFG)/B
