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
Find out more about future value on :brainly.com/question/24703884
#SPJ1
To find the percent of 15 out of 60, you have to divide fifteen by sixty.
Then, you multiply your answer by 100. (We do this because 100 percent is a exact amount. 100% of sixty is...well, sixty.)
15 / 60 = 0.25
Now, we can multiply 0.25 by 100:
0.25 * 100 = 25 (basically just moving the decimal two places to the right.)
Next, add a percent sign:
25%, is your answer.
15 is 25% of 60.
Answer:
You can proceed as follows:
Step-by-step explanation:
First solve the quadratic inequality
. To do that, factorize, then we have that
. This implies that

or

In the first case the solution is the empty set
. In the second case the solution is the interval
. Now we have that
![A=[1,4]](https://tex.z-dn.net/?f=A%3D%5B1%2C4%5D)

.
To show that
consider
. Then
, this implies that
, then
. Now, to show that
consider
, then
, then
, then
, this implies that
.
Observe the image below.
The measured volume is 12*8*4=382. The actual measurement volume is 11.75*7.75*4=364.25. The relative error is (382-364.25)/364.35=0.049.