Answer:
The balance of the account is $1335.6
Step-by-step explanation:
To find the new balance of the account after 212 years, we use simple interest formula to calculate that.
Principal = 450
Rate = 0.35% quarterly = (0.35*4) annually = 1.4% = 1.4 / 100 = 0.014
Reason why the rate was converted from quarterly to annually is because simple interest are calculated annually
T = 212 years
Simple Interest (S.I) = ?
S.I = PRT
S.I = 450 * 0.014 * 212
S.I = $1335.6
The balance of the account after 212 years is $1335.6
Since we know AD, CD and angle D, we can use the law of cosines, which states that
Plugging the values, we have
Which leads to
Taking the square root, we have
Answer:
B) –8c + 8b
Step-by-step explanation:
All you have to know is that double negatives result in positives. Use the Distributive Property.
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Sometimes when you're given dimensions that differ by some amount, it is easier to work with their average value. Let x represent the average of length and width of the rectangle. The length and width differ from this average value by 1.5 m. Then the area is
.. (x +1.5)*(x -1.5) = 154
.. x^2 -2.25 = 154
.. x^2 = 156.25
.. x = 12.5
The width is 1.5 m shorter than this, or 11 m.
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Solved in the conventional way, you are looking for factors of 154 that differ by 3. This means you have to find the factors of 154, or use the quadratic formula.
.. 154 = 1*154 = 2*77 = 7*22 = 11*14 (the pair we want)
Once you have the factorization of 154, you have the answer. No equations are necessary, really.
Answer:
$38.40
Step-by-step explanation: