The amount of money Justin would have in his account than Aaron, to the nearest dollar is $0
What is the future value formula for continuous compounding cash flow?
The future value, which is used to determine the worth of this investment of $740 made now in 18 years is as shown below:
FV=PV*e^(rt)
FV=the worth of the investment in 18 years=unknown
PV=the amount invested today=$740
e=mathematical exponential value=2.7182818
r=rate of interest which compounded continuously=5%
t=time of investment in years=18
FV=$740*2.7182818^(5%*18)
FV=$740*2.7182818^(0.90)
FV=$740*2.459603087981220
FV=$1,820.11
Justin:
FV=PV*(1+r/m)^(n*m)
PV=$740
r=5%
m=number of times in a year that interest is compounded=365
m=number of years=18
FV=$740*(1+5%/365)^(18*365)
FV=$1,819.99
difference=$1,820.11-$1,819.99
difference=$0.12($0 to the nearest dollar)
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Answer:
802,000
Step-by-step explanation:
The number in the thousands place is 1, and the number to the right of it is 5. And if the number to the right is greater than or equal to 5 the place value that you are rounding goes up by one.
Answer:
1) S(t) = C(t) × D(t)
2) S(t) = (400 + 30t)(25 + t)
Step-by-step explanation:
The function C(t) = 400 + 30t ........... (1), models the number of classrooms, C. in the town of Sirap, t years from now.
The function D(t) = 25 + t ......... (2) models the number of students per classroom, D, t years from now.
Then if S(t) represents the number of students in Sirap's school system t years from now, then, we can write the relation
1) S(t) = C(t) × D(t) (Answer)
2) Hence, the formula of S(t) in terms if t is given by
S(t) = (400 + 30t)(25 + t) (Answer)
No it is not because the sevens are in the same place in both numbers
Answer:
Step-by-step explanation:
Alternate forms:
x^2 + y (y + 4) = 5
x^2 + y^2 + 4 y - 5 = 0
Solutions:
y = -sqrt(9 - x^2) - 2
y = sqrt(9 - x^2) - 2
Integer solutions:
x = ± 3, y = -2
x = 0, y = -5
x = 0, y = 1
Implicit derivatives:
(dx(y))/(dy) = -(2 + y)/x
(dy(x))/(dx) = -x/(2 + y)
