The amount she should invest today in the annuity is $455,450.40.
<h3>How much should be invested today?</h3>
The first step is to determine the future value of the monthly annuity.
Future value = monthly payment x annuity factor
Annuity factor = {[(1+r)^n] - 1} / r
Where:
- r = interest rate = 3.6/12 = 0.3%
- n = number of periods : 15 x 12 = 180
Future value : 3250 x [(1.003^180) - 1] / 0.003 = 774,171.92
The second step is to determine the present value of this future annuity:
774, 171.92 / (1.036^15) = $455,450.40
To learn more about annuities, please check: brainly.com/question/24108530
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Answer:
f(x) = - 8
Explanation:
The given function is
f(x) =2x^2 -4x -6
The first step is to find the derivative of the function. Recall, if
y = ax^b
y' = abx^(b - 1)
Thus,
f'(x) = 4x - 4
We would equate f'(x) to zero and solve for x. We have
4x - 4 = 0
4x = 4
x = 4/4
x = 1
We would substitute x = 1 into the original function and solve for f(x) or y. It becomes
f(1) =2(1)^2 -4(1) - 6 = 2 - 4 - 6
f(1) = - 8
Thus, the minimum value is f(x) = - 8
Answer:
<h2>(4x+z)=13000------1</h2><h2>(4x+z)13000=503000----2</h2>
Step-by-step explanation:
let x be the number of seats in A,
y be the number of seats in B, and
z be the number of lawn seats.
y=3x
the total number of seats is given by
(x+y+z)=13000
put y=3x
(x+3x+z)=13000
(4x+z)=13000------1
also
(4x+z)13000=503000----2
hence the systems of equation is
(4x+z)=13000------1
(4x+z)13000=503000----2
I would say the amount used would be at least 50 gallons because it makes most sense. Hope I helped :))
The image is not very much enlarged, and is slanted, so answers might be just approximate.
(a) median is 39 or 40, your choice.
(b) 3rd quartile of y looks 47 or 48
(c) variable y has more disperson, since both the extremes and the quartiles are spread out longer that those of variable x.
(d) since both halfs of the blue box (of x) and both lines outside of the box are basically equal, variable x's distribution is very much symmetric.
Sorry, cannot read question part (e) completely.
