The one time investment of $1000 would worth $10285.72 after 40 years at 6% rate of return
What is annual compounding?
Annual compounding means that the number of times interest is compounded annually is once, compared to semiannual compounding where the interest on the investment is calculated twice a year.
The worth of the investment after 40 years means its future value after having invested $1000 for 40 years using the below formula for future value of a single cash flow:
FV=PV*(1+r)^N
FV=future worth of investment=unknown
PV=initial investment=$1000
r=rate of return=6%
N=number of years of investment=40
FV=$1000*(1+6%)^40
FV=$1000*1.06^40
FV=$1000* 10.2857179371259
FV=$10285.72
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Answer:
8.5
Step-by-step explanation:
For continuous compounding, the account value formula is ...
A = Pe^(rt)
where P is the invested amount, r is the annual interest rate, and t is the number of years. We want to find t when ...
3550 = 2400e^(.046t)
ln(355/240) = 0.046t
t = ln(355/240)/0.046 ≈ 8.5
It will take 8.5 years for the value to reach $3550.
Answer:
5
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse
a^2 + 10^2 = (5 sqrt(5))^2
a^2 +100 = 25(5)
a^2 +100 = 125
a^2 = 125-100
a^2 = 25
Taking the square root of each side
sqrt(a^2) = sqrt(25)
a = 5
24 can be planted along side of the road.
