Answer:
Option D.
Step-by-step explanation:
Juanito estimated that 31% of 517 is 204 is estimated wrong because
31% of 517 = 0.31 × 517 = 160.27
Now we will go through all the options.
A. 30% of 520 = 0.30 × 520 = 156
B. 40% of 520 = 0.40 × 520 = 208
C. 30% of 510 = 0.30 × 510 = 153
D. 40% of 510 = 0.40 × 510 = 204
Option D.
Answer:
C
Step-by-step explanation:
when x=0, y=0, so B is impossible
when X=2, Y=1,
and thus C is correct
Answer: see proof below
<u>Step-by-step explanation:</u>
Given: A + B = C → A = C - B
→ B = C - A
Use the Double Angle Identity: cos 2A = 2 cos² A - 1
→ (cos 2A + 1)/2 = cos² A
Use Sum to Product Identity: cos A + cos B = 2 cos [(A + B)/2] · 2 cos [(A - B)/2]
Use Even/Odd Identity: cos (-A) = cos (A)
<u>Proof LHS → RHS:</u>
LHS: cos² A + cos² B + cos² C
LHS = RHS: 1 + 2 cos A · cos B · cos C = 1 + 2 cos A · cos B · cos C
This problem can be solved using the formula for interest which is: F = P (1 + i)^n where:
F = future value
P = principal value
i = interest per year
n = interest period
Since we are already provided with the values of each, direct substitution should be done. This is shown below:
F = P(1 + i)^n
F = 125000(1 + 0.035)^10
F = 176324.85
Therefore, the value of the house after 10 years will be $176,324.85