B. Deposit means she added money to her account so you would add 175 and 180 to 685 (giving you 1040). Withdrawal means she took money out of her account so you would subtract 240, 140, and 350 from 1040 giving you your answer of $310 :)
We see two parallel lines crossed by a transversal.
The two labelled angles are alternate interior angles, hence they are equal.
The equality allows us to equate the two expressions and hence solve for x.
8x-3=5x+42
transpose terms
8x-5x=42+3
solve for x
3x=45
so x=45/3=15.
This means 5x+42=5*15+42=75+42=117 degrees.
Answer: Choice B) 35.3 degrees
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Work Shown:
Apply the law of sines
sin(S)/s = sin(R)/r
sin(S)/16 = sin(120)/24
sin(S) = 16*sin(120)/24
sin(S) = 0.57735026918962
S = arcsin(0.57735026918962)
S = 35.2643896827542
S = 35.3
Make sure your calculator is in degree mode.
Answer:
Add 7 to both sides
Step-by-step explanation:
You would need to add 7 to both sides to cancel out the 7 on the right side of the equation to get x one step closer to being by itself.
Then you would get 4x = -8.
Next divide by 4 on both sides to get x by itself so do the inverse operation of what 4 was doing to x.
x = -2
Answer:
$40
Step-by-step explanation:
The earnings of Gabriel can be calculated with the formula:
P = Po * (1 + r/n)^(nt)
Where P = 900, r = 0.0325, n = 365 and t = 19
So we have:
P = 900 * (1 + 0.0325/365)^(365*19) = $1,668.81
The earnings of Daniel can be calculated with the formula:
P = Po * e^(rt)
Where Po = 900, r = 0.03375 and t = 19
So we have:
P = 900 * e^(0.03375*19) = $1,708.97
So the amount that Daniel will have more than Gabriel is:
1708.97 - 1668.81 = $40.16
Rounding to nearest dollar, the difference is $40
