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Answer: Choice B) 122%</h3>
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Work Shown:
A = 1250 is the initial amount
B = 2780 is the new amount
C = percent change = unknown for now
The formula to use is
C = [ (B-A)/A ] * 100
to calculate the percent change.
Basically we calculate the change (B-A) first and then divide that over the original amount A to compute the decimal form of the answer, which is then converted over to percentage form. The "100" tacked on at the end is what converts from decimal to percent form.
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C = [ (B-A)/A ] * 100
C = [ (2780 - 1250)/1250 ] * 100
C = (1530/1250)*100
C = 1.224 * 100
C = 122.4%
C = 122%
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The positive C value indicates we have a percent increase. If C were negative, then we'd have a percent decrease.
Answer:
f(x) = x³/3 - 5/3
Step-by-step explanation:
To get the equation of the curve, integrate the slope
f(x) = integral of x²
= (x^(2+1))/3 + c
f(x) = x³/3 + c
To find c, use the given point
1 = 2³/3 + c
c = 1 - 8/3 = -5/3
f(x) = x³/3 - 5/3
Answer:
Tamara incorrectly factored the whole expression.
Step-by-step explanation:
Note that
- 21x=3·7·x;
- 56xy=2·2·2·7·x·y.
Mark in bold all common factors, then GCF(21x,56xy)=7·x=7x.
Thus,
21x+56xy=7x(3+8y).
Hence, Tamara correctly found the GCF of numbers 21 and 56, but incorrectly factored the whole expression.
Answer:
Step-by-step explanation:
m∠1 = 3 times of m∠2
m∠2 = (1/3) times of ∠1
m∠2 = 24°
