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
Answer:
Alan = reject H0
Bill = cannot say
Step-by-step explanation:
Given that Heather is a student in a class that has been asked to conduct a hypothesis test for a population proportion.
(two tailed test at 5% significance level)
Since she rejects null hypothesis p value should have been less than 0.05
when p value <0.05, it is definitely less than 0.10
So at 1% level of significance also the null hypothesis would be rejected.
So Alan also would get the same result as to reject the H0
But about Bill since Bill uses 0.01, we cannot definitely say that p value is less than or greater than 0.01
All we know is that p is less than 0.05
Hence it is impossible to tell from the information for Bill
Pythagoras theorem only works for right triangle (90 degree)
Trigonometry (sin, cos, tan) works everywhere!
Hopefully I answered your question!
If you want to learn more about Trigonometry or Pythagoras theorem, send me a message and add me as friend on Brainly. I'm a mathematician and an astrophysicist
:) have a great day!
I believe the answer is 40%
Not entirely sure, hope I helped though!
Area of square = s^2
Area of Rectangle = lw
l = 2s
w+3 = s
solve for w, w=s-3
Now we have l and w.
Plug both into area of rectangle formula so: (2s)(s-3)
Since both areas are equal set both equations equal to each other:
(2s)(s-3)=s^2
Now simplify
2s^2-6s=s^2
s^2-6s=0, Solve for s.
Factor polynomial. s(s-6)=0 , s can be equal to 0 or 6. HOWEVER, you cannot have a side length of 0 therefore the side length has to be 6.
Now plug in s for the length formula for the rectangle:
l = 2s so... l = 2(6) so length of rectangle = 12.
Now plug in s for the width formula for the rectangle:
w+3=s so... w+3=6 so width of rectangle = 3.
Now the dimensions of the rectangle are 12 by 3. 12 being length and 3 width.
To CHECK:
Find area of rectangle:
A=lw so A=3 times 12 so A=36
Find area of square:
We know the side is equal to 6 so
A=s^2 so 6^2 = 36
The areas are equal that verifies the answer of 12 by 3.
