Answer:
The present Value of my winnings = $4,578,716.35
Explanation:
An annuity is a series od annual cash outflows or inflows which payable or receivable for a certain number of periods. If the annual cash flow is expected to increase by a certain percentage yearly, it is called a growing annuity.
To work out the the present value of a growing annuity,
we the formula:
PV = A/(r-g) × (1- (1+g/1+r)^n)
I will break out the formula into two parts to make the workings very clear to follow. So applying this formula, we can work out the present value of the growing annuity (winnings) as follows.
A/(r-g)
= 460,000/(12%-3%)
= $5,111,111.11
(1- (1+g/1+r)^n
1 - (1+3%)/(1+12%)^(27)
=0.8958
PV = A/(r-g) × (1- (1+g/1+r)^n)
$5,111,111.11 × $0.8958
= $4,578,716.35
The present Value of my winnings = $4,578,716.35
The fewest number of hours from the graph is 73 hours.
<h3>Equation</h3>
Equation is an expression used to show the relationship between two or more numbers and variables.
Let x represent the number of $10 course and y represent the number of $15 course.
Her goal is to save at least $1000, hence:
Also:
The fewest number is (20, 53)
The fewest number of hours from the graph is 73 hours.
Find out more on equation at: brainly.com/question/2972832
Answer:
Present value= $62,722.875≈ $62,723
Explanation:
To calculate present value use this formula
Present value= Yearly payment*{[1-(1+rate)^-period]/rate}
Present value= 8,500*{[1-(1+0.11)^-16]/0.11}
Present value= 8,500* {0.8117/0.11}
Present value= 8500*7.379= $62,722.875
Please give the options in order for us to determine which is best.