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)
Find out more about continuous compounding on:brainly.com/question/23136156
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Answer:
#5 39 = x
Sides:
x - 15
2x
2x
Total of sides = 180
180 = (x-15) + 2x + 2x
180 = x - 15 + 4x
180 = -15 + 5x (add 15 to each side to remove -15)
195 = 5x (divide by 5 on each side to get x)
39 = x
#7 24 = x
Sides:
2x - 4
3x + 5
2x + 11
Total of sides = 180
180 = (2x - 4) + (3x + 5) + (2x + 11)
180 = 2x - 4 + 3x + 5 + 2x + 11
180 = 7x + 12 (subtract 12 to each side to remove 12)
168 = 7x (divide by 7 on each side to get x)
24 = x
#8 37 = x
Sides:
x
x + 4
3x - 9
Total of sides = 180
180 = (x) + (x + 4) + (3x - 9)
180 = x + x + 4 + 3x - 9
180 = 5x - 5 (add 5 to each side to remove -5)
185 = 5x (divide by 5 on each side to get x)
37 = x
Step-by-step explanation:
To take out terms outside the radical we need to divide the power of the term by the index of the radical; the quotient will be the power of the term outside the radical, and the remainder will be the power of the term inside the radical.
First, lets factor 8:
Now we can divide the power of the term, 3, by the index of the radical 2:

= 1 with a remainder of 1
Next, lets do the same for our second term

:

= 3 with a remainder of 1
Again, lets do the same for our third term

:

with no remainder, so this term will come out completely.
Finally, lets take our terms out of the radical:

We can conclude that the correct answer is the third one.
P = 2l +2w
820 = 2(w - 70) + 2w
<span>820 = 4w - 140 </span>
<span>820 - 140 = 4w</span>
<span>680/4 = w
170 = w
let me know if you need an explanation of how i got any of the steps
:)</span>
This expression is not factorable which means the answer is 8x+7