9514 1404 393
Answer:
- annually: 9.01 years
- monthly: 8.69 years
- daily: 8.67 years
- continuously: 8.66 years
Step-by-step explanation:
For interest compounded in discrete intervals, the formula is ...
A = P(1 +r/n)^(nt)
We want to find t for P=1 and A=2, so we have ...
2 = (1 +r/n)^(nt)
ln(2) = nt·ln(1+r/n)
t = ln(2)/(n·ln(1+r/n))
A table of values for r=0.08 is attached.
__
For continuous compounding, the formula is ...
A = Pe^(rt)
t = ln(A/P)/r = ln(2)/0.08 ≈ 8.66434 . . . . years
__
- annually: 9.01 years
- monthly: 8.69 years
- daily: 8.67 years
- continuously: 8.66 years
By using the second condition, we conclude that there are 23 white roses in the tray.
<h3>
How many white roses are in the tray?</h3>
First, we know that there are a total of 50 roses in the tray, and we have the conditions:
- <em>"There is at least 1 red rose among any 24 randomly selected roses"</em>
- <em>"There is at least 1 white rose among any 28 randomly selected roses".</em>
The second statement means that, always that we take 28 roses, at least one of them is white. So, there are 27 roses in the tray that are not white.
Whit that in mind, if the 28th rose must be white, then all the remaining roses in the tray are white, this means that there are:
50 - 27 = 23 white roses.
If you want to learn more about counting.
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Answer:
Jack's final bank account amount will be $54,782.50, <em>earning</em> <u>$7,459.31</u> in <em>interest</em>.
General Formulas and Concepts:
<u>Algebra I</u>
Compounded Interest Rate Formula: 
- <em>A</em> is final amount
- <em>P</em> is principle amount
- <em>r</em> is rate
- <em>n</em> is compounded rate
- <em>t</em> is time
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify given variables</em>.
<em>P</em> = $47,323.15
<em>r</em> = 0.05
<em>n</em> = 1
<em>t</em> = 3
<u>Step 2: Find Interest</u>
- [Compounded Interest Rate Formula] Substitute in variables:
- Evaluate:
∴ Jack will <em>gain</em> $7,459.31 and have a net balance of $54,782.50.
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Learn more about Algebra I: brainly.com/question/27710663
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Topic: Algebra I
Answer:
C
Step-by-step explanation:
y = mx +b The b is where the graph crosses the y axis. If you look a the graph it is crossing at 5. The m is the slope. It is the change in y over the change in x. If you start at 5 and go up10 and over 1, you will be on the line. So our slope is 10/1 which is just 10
Y=kx
-5=k(15)
-5/15=k
-1/3=k
now,
y=-1/5x
3=-1/5x
3×5=-1(x)
15=-1(x)
multiplying both sides by -1,we get
-15=x
