The future value (A) of a one-time investment of principal amount P at interest rate r compounded n times per year for t years is ...
... A = P(1 +r/n)^(nt)
Putting your given numbers into the formula, we have
... 876.34 = 300(1 +.06/4)^(4t)
Taking logarithms, this becomes the linear equation
... log(876.34) = log(300) + 4t·log(1.015)
Solving for t in the usual way, we get
... log(876.34) -log(300) = 4t·log(1.015) . . . . . . . subtract the constant term on the right
... (log(876.34) -log(300))/(4·log(1.015)) = t ≈ 18.00 . . . . divide by the coefficient of t
It will take <em>18 years</em> for the $300 CD to reach a value of $876.34.
Your answer is A. 0.3 Hope this Helps.
Answer:
If a flight just left on-time, the probability that it was a flight of airline A is 56.06%.
Step-by-step explanation:
Since three airlines serve a small town in Ohio, and Airline A has 48% of all scheduled flights, airline B has 35% and airline C has the remaining 17%, and their on-time rates are 81%, 70%, and 41%, respectively, if a flight just left on-time, to determine what is the probability that it was a flight of airline A the following calculation must be performed:
A = 0.48 x 0.81 = 38.88
B = 0.35 x 0.7 = 23.5
C = 0.17 x 0.41 = 6.97
38.88 + 23.5 + 6.97 = 100
38.88 = X
69.35 = 100
38.88 = X
38.88 x 100 / 69.35 = X
3,888 / 69.35 = X
56.06 = X
Therefore, if a flight just left on-time, the probability that it was a flight of airline A is 56.06%.
<span>When 2 people work the formula is:
Person1 * Person2 / (Person1 + Person2)
</span>
<span>rob becomes Person1 and Kayla becomes Person 2
9 * K / (9 + K) = 4.74 Hours
9*K = 4.74*9 + K*4.74
9*K = 42.66 + K*4.74
4.26 *K = 42.66
K = 10.014084507 hours (Kayla)
TESTING the answer
(9 * 10.014084507) / (9 + 10.014084507) = 4.74
90.126760563 / (19.014084507) = 4.74
4.74 = 4.74
</span>
