Answer:
$354,600
Step-by-step explanation:
The PV (present value) of a USD 100,000 outcome at the end of each year for the next four (4) years is USD 354,600.
Present value (PV) of annuity = USD 100,000 at 5% for 4 years
Present Value of Annuity of $1
= 3.546 × USD 100,000
= $354,600
Answer:
B. The probability of getting a red convertible is 0.10.
Step-by-step explanation:
Independent events:
Two events, A and B, are independent if the probability of both happening is the same as the multiplication of the probabilities of each happening, that is:
In this question:
Event A: Red car -> 0.25 probability
Event B: Convertible car -> 0.4 probability
Independent if:
The probability of getting a red convertible car is:
Thus, the correct answer is given by option B.
Answer:
positive
Step-by-step explanation:
Ellie:
Total spending = $36.50
Number of popcorn bags bought = 7
Number of drinks bought = 2
Morgan:
Total spending = $155.50
Number of popcorn bags bought = 9
Number of drinks bought = 14
Part 1:
If
P = Price of one popcorn bag
D = Price of one drink
Then,
For Ellie: 7P + 2D = 36.50
For Morgan: 9P + 14 D = 155.50
Set of equations:
7P + 2D = 36.5 --------(1)
9P + 14D = 155.5 ---- (2)
Part 2:
Solving equations (1) and (2)
Multiply (1) by 7 and subtract (2) from resulting equation;
49P + 14D = 255.5
9P + 14D = 155.5
-------------------------
40P = 100
P = 100/40 = 2.5
From eqn (1),
7*2.5 + 2D = 36.5
17.5 +2D = 36.5
2D = 19
D = 19/2 = 9.5
Therefore,
Bag of popcorn costs $2.50
