Answer:
How long the ball was in the air
Step-by-step explanation:
3.5 seconds is the amount of time that the ball's height starts from 0 meters and ends to 0 meters.
The greatest common factor of 4 and 32 would be 4.
The common factor for m^6 and m^5 would be m^5, since 6 is greater than 5.
The GCF becomes 4m^5
The first step would be to divde both sides by 2. then you would have to find where cos(x) times sin(x) would equal 0. to do that either cos(x) OR sin(x) would heve to be zero becasue any number times zero equals zero. n is an inteager (whole Number) cos(x) equals pi/2 plus pi times n.
The answer for this is 48 inches
I hope this helped you
Answer:
Results are below.
Step-by-step explanation:
1. <u>First, we need to calculate the Future Value:</u>
FV= {A*[(1+i)^n-1]}/i
A= quarterly deposit
n= 10*4= 40
i= 0.12/4= 0.03
FV= {4,000*[(1.03^40) - 1]} / 0.03
FV= $301,605.04
Now, the present value:
PV= FV/(1+i)^N
PV= 301,605.04/(1.03^40)
PV= $92,459.09
2. <u>First, we need to calculate the value of the first year of college:</u>
FV= PV*(1+i)^n
FV= 24,000*(1.04^3)
FV= $26,996.74
Now, the quarterly payments:
FV= {A*[(1+i)^n-1]}/i
A= quarterly deposit
Isolating A:
A= (FV*i)/{[(1+i)^n]-1}
i= 0.08/4= 0.02
n= 3*4= 12
A= (26,996.74*0.02) / [(1.02^12) - 1]
A= $2,012.87
