Integrate both sides with respect to <em>t</em> :
∫ d<em>y</em>/d<em>t</em> d<em>t</em> = ∫ -12<em>t</em> ² d<em>t</em>
<em>y(t)</em> = -4<em>t</em> ³ + <em>C</em>
Use the initial condition to solve for <em>C</em> :
5 = -4•0³+ <em>C</em>
<em>C</em> = 5
So
<em>y(t)</em> = -4<em>t</em> ³ + 5
and the answer is D.
Alternatively, you can directly apply the fundamental theorem of calculus:
Answer:
You need more information. But typically multiplly by 100 so .1 would be 10 %
Step-by-step explanation:
Answer:
3 hours + 5hours = 8 hours ÷ 2 =
4 hours is your answer.
Step-by-step explanation:
If you have 2 people working and need to know how long it would take them to finish a job. Working together on the same job, you add each of their total hours to do the job alone,, 5 + 3 = 8, then divide the 8 by 2 people
equals 4 hours for 2 people on 1 job.
To find the circumference, you would use 2πr.
Answer:
2*π*16
=100.53in^2
Answers:
- interest = $75
- balance at maturity = $3075
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Explanation:
The simple interest formula is
i = p*r*t
where in this case,
- p = 3000 = principal (amount deposited)
- r = 0.10 = annual interest rate in decimal form
- t = 3/12 = 0.25 = number of years
So,
i = p*r*t
i = 3000*0.10*0.25
i = 75 is the amount of interest earned
This adds onto the initial deposit to get the final balance when the CD matures (ie when you're able to withdraw the money without penalties)
The balance at maturity is p+i = 3000+75 = 3075 dollars
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In short, you deposit $3000 into the CD and have to wait 3 months for the amount to update to $3075.
