Given:
Amount deposited on birth = $10,000.
Interest rate = 5% compound quarterly.
To find:
The balance on the person's 18th birthday.
Solution:
The formula for amount is
where, P is principal, r is rate of interest, n is number of times interest compounded in an year and t is number of years.
Substitute P=10000, r=0.05, n=4, t=18 in the above formula.
Therefore, the balance on the person's 18th birthday is $24459.20.
The fourth root of 256 is 4:
Answer:
x-intercepts: -2; 1; 5
Average rate of change: 1.8
Step-by-step explanation:
<u>x- intercepts as per graph are:</u>
<u>Average rate of change over the interval (-1, 4) is:</u>
- Δy/Δx = (y(4) - y(-1))/(4 - (-1)) = (3 - (-6))/5 = 9/5 = 1.8
F is conservative if we can find a scalar funciton <em>f</em> such that grad(<em>f</em>) = F.
This would entail
Integrate both sides of the first equation with respect to <em>x</em> :
Differentiate both sides with respect to <em>y</em> :
Differentiate both sides with respect to <em>z</em> :
So we have
that satisfies
and so F is indeed conservative.
Answer:
x =147
Step-by-step explanation:
The sum of the angles is = 360 -(2x+1) ( since it will make a full circle)
42+(-124+x) =360-(2x+1)
Combine like terms
x-82 =359-2x
Add 2x to each side
x-82+2x = 359
3x -82 = 359
Add 82 to each side
3x-82+82 = 359+82
3x = 441
Divide by 3
3x/3=441/3
x =441/3 or 147