Answer:
=$23,350.802
Step-by-step explanation:
Compound Interest (A)=P(1+r/n)^nt
Where,
P=principal=$20,000
r=Interest rate=7.77%=7.77/100
=0.0777
n=number of periods=12 month in a year
t=time=2 years
(A)=P(1+r/n)^nt
=$20,000(1+0.0777/12)^12×2
=$20,000(1+0.006475)^24
=$20,000(1.006475)^24
=$20,000(1.1675401)
=$23,350.802
Answer:
m = 6,9
Step-by-step explanation:
We are given that 
is a solution to given differential equation.
First we 3evaluate the value of:
Putting these value in the above differential equation, we get,
![x^m[m(m-1) -14m + 54] = 0](https://tex.z-dn.net/?f=x%5Em%5Bm%28m-1%29%20-14m%20%2B%2054%5D%20%3D%200)
Thus, for m = 9,6 , the function is a solution of given differential equation.
Answer:
x = 6
Step-by-step explanation:
15 more represents “+15”
3 times a number represents “3*x” which is written as “3x”
So fifteen more than 3 times a number is 33 would be written as;
3x + 15 = 33
Now solve for x using algebra;
3x = 33 - 15
3x = 18
x = 18 / 3
<u>x = 6</u>
Hope this helps!
You should write numbers in as many ways as you possibly can to make new connections in your brain. Knowing how to write numbers in many different ways can help you solve complex problems more easily. Doing this can also reinforce the mathematical principles and logic you have memorised.
Writing one in many different ways:
1=1/1=2/2=3/3=4/4=(-1)/(-1)=(-2)/(-2)
=1.0=1.00=1.000=(1/2)+(1/2)=(1/3)+(1/3)+(1/3)
=(1/4)+(1/4)+(1/4)+(1/4)
Writing a half in many different ways:
1/2=(1/4)+(1/4)=(1/6)+(1/6)+(1/6)
=(1/8)+(1/8)+(1/8)+(1/8)=4*(1/8)
=2/4=3/6=4/8=5/10=0.5=0.50
etc...etc...
Answer: 3 + 15/16 inches
Step-by-step explanation:
You need (5 + 3/16) inches, and you have (9 + 1/8) inches, then the amount that you need to cut is equal to the difference between these numbers, this is:
(9 + 1/8) - (5 + 3/16) = (9 - 5) + (1/8 - 3/16) = 4 + (2/16 - 3/16) = 4 - 1/16
now, this notation is used for aditions, so we can write it as:
4 - 1/16 = 3 + 1 - 1/16 = 3 + 16/16 - 1/16 = 3 + 15/16
Then the amount that needs to be cuted is 3 + 15/16 inches
