B.
Using this will give you proper representations in similar triangles.
Answer:
Step-by-step explanation:
365 x 24 = 8,760
365 x 6 = 2,190
8,760 - 2,190 = 6,570
6,570 / 24 = 273 3/4
Answer:
1: 11982.79
2: 12136.31
4: 12216.09
12: 12270.46
365: 12297.10
Step-by-step explanation:
The compound interest formula is A=P*(1+r/n)^nt
P=principal amount
r=rate
n=number of compounds per period
t=number of periods
In this situation, the principal amount is 5,000=P. The rate is 6%, so r=0.06. n is equal to the top number in the table. And this is 15 years, so t=15.
For 1, it would be A=5,000*(1+.06/1)^1*15, or A=5,000(1.06^15), or 11982.79.
For 2, it would be 5,000*(1+.06/2)^2*15, or 5,000*(1.03^30), or 12136.31.
And so forth. Good luck
To find the maximum or minimum value of a function, we can find the derivative of the function, set it equal to 0, and solve for the critical points.
H'(t) = -32t + 64
Now find the critical numbers:
-32t + 64 = 0
-32t = -64
t = 2 seconds
Since H(t) has a negative leading coefficient, we know that it opens downward. This means that the critical point is a maximum value rather than a minimum. If we weren't sure, we could check by plugging in a value for t slightly less and slighter greater than t=2 into H'(t):
H'(1) = 32
H'(3) = -32
As you can see, the rate of change of the object's height goes from increasing to decreasing, meaning the critical point at t=2 is a maximum.
To find the height, plug t=2 into H(t):
H(2) = -16(2)^2 +64(2) + 30 = 94
The answer is 94 ft at 2 sec.
