This strategy works because if you subtract one number from another the sum of the two numbers should be the that is being subtracted from. (In this case, it's 200)
Answer:
See explanation
Step-by-step explanation:
Simplify left and right parts separately.
<u>Left part:</u>
<u>Right part:</u>
Since simplified left and right parts are the same, then the equality is true.
Answer:
1999
Step-by-step explanation:
y = 0.2313(y - 1992)^2 + 2.600(y - 1992) + 35.17
verify with known data point
y = 0.2313(2004 - 1992)^2 + 2.600(2004 - 1992) + 35.17
y = 0.2313(12)^2 + 2.600(12) + 35.17
y = 27.9873 + 28.6 + 35.17
y = 99.6772 which verifies our equation
65 = 0.2313x² + 2.6x + 35.17
0 = 0.2313x² + 2.6x - 29.83
quadratic formula
x = (-2.6 ±√(2.6² - 4(0.2313)(-29.83))) / (2(0.2313))
x = (-2.6 + 5.86) / 0.4626 = 7.05 years
7.05 = y - 1992
y = 1999.05
1) montly rate, r = 5% / 12 = 0.416% = 0.00416
2) capital, C = $ 450 = present value
3) time = 11 years => number of periods = 11 * 12 = 132
4) Formula: FV = C * (1 + r) ^ (number of periods)
5) Calculation: FV = $450 * ( 1 + 0.00416)^(132) = $ 779.07
Answer: $ 779.07
