Answer:
1/6
Step-by-step explanation:
Solve-
Subtract the numbers:
12m+12=15 - 1
12m+12 = 14
Subtract 12 form both sides of the equation:
12m+12= 14
12m+12-12 =14-12
Simplify:
Subtract 1: 12m+12-12=14-12
12m=14-12
then 2; 12m=14-12
12m=2
Divide both sides of the equation by the same term:
12m=2
12m/12=2/12
Simplify again:
Cancel out the terms:
12m/12=2/12
m=2/12
Divide the numbers:
m=2/12
m=1/6
Soulution= 1/6
Answer:
0.2 < x < 11.8
Step-by-step explanation:
The triangle inequality theorem states that the sum of any two sides of a triangle must be greater than the third side, for it to form a triangle. So, we can set up 3 equations, x + 5.8 > 6, 5.8 + 6 > x, and x + 6 > 5.8. This solves out to x > 0.2, x < 11.8, and x > -0.2. We can disregard that last one, because a side can't be negative. Therefore, we know the possible range of values for x.
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Answer:The height of the building is 30ft
Step-by-step explanation:
To solve for the A or the principal amount plus interest you can use two formulas:
A = P + I
Where: P = Principal
I = Interest
or you can use
A = P (1+ rt)
Where: P = principal
r = rate in decimal
t = time in years
With your given you can use the second one, without having to use the first.
Given that the Principal amount is $222 and the rate is 12% and time is 10 years, we first need to convert your rate into decimal by dividing the value in percent by 100 which will yield 0.12.
Then now we can just input the data that you know into the formula:
A = P(1+ rt)
= $222(1 + (0.12)(10))
= $222(2.2)
= $488.40
Your A is then equal to $488.40
If you need to get the simple interest all you need to use is the first formula given:
A = P + I
for the interest you transpose the P to the side of the A and you will get:
I = A - P
= $488.40 - $222
= $266.40
$266.40 is the added interest to the principal amount.