Ln 54.598... = 4 because ln = log e
Answer:
BF
BA
AG
Step-by-step explanation:
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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The line segment HI has length 3<em>x</em> - 5, and IJ has length <em>x</em> - 1.
We're told that HJ has length 7<em>x</em> - 27.
The segment HJ is made up by connecting the segments HI and IJ, so the length of HJ is equal to the sum of the lengths of HI and IJ.
This means we have
7<em>x</em> - 27 = (3<em>x</em> - 5) + (<em>x</em> - 1)
Solve for <em>x</em> :
7<em>x</em> - 27 = (3<em>x</em> + <em>x</em>) + (-5 - 1)
7<em>x</em> - 27 = 4<em>x</em> - 6
7<em>x</em> - 4<em>x</em> = 27 - 6
3<em>x</em> = 21
<em>x</em> = 21/3
<em>x</em> = 7
