Answer:
the balance after 5 years is: 26540.744
Step-by-step explanation:
Given the information:
- P = initial balance = $ 20,000
- r = interest rate (decimal) = 5% = 0.05
- n = number of times compounded annually = 4
- t = time = 5
We have the compound interest function ta model the situation is:
<=> A = 
<=> A = $26540.744
Hence, the balance after 5 years is: $26540.744
The rectangular prism has the greatest volume
Rectangular Prism Volume= 72
Triangular Prism Volume = 70
Volume formulas:
(R.Prism) V=l•w•h
(T. Prism) V= b•h
Work:
(R.Prism)
V= 4•6•3
V= 72
(T.Prism)
V= (1/2•4•5)(7)
V= 70
Hope this helps
Answer:
The ratio of the perimeter of ABCD to JKLM is;
b. 3/5
Step-by-step explanation:
Given that ABCD ~ JKLM, where;
DC and ML are corresponding sides
AD and JM are corresponding sides
AB and JK are corresponding sides
Therefore;
DC/ML = AD/JM = AB/JK
Plugging in the values of the variables gives;
9/15 = z/10 = x/12
∴ z = 10×9/15 = 6
x = 12×9/15 = 7.2
9/15 = 6/y
y = 6 ×15/9 = 10
The perimeter of the quadrilateral ABCD = AB + BC + DC + AD
∴ The perimeter of the quadrilateral ABCD = 6 + 6 + 9 + 7.2 = 28.2
The perimeter of the quadrilateral JKLM = JK + JM + ML + LK
∴ The perimeter of the quadrilateral JKLM = 12 + 10 + 15 + 10 = 47
The ratio of the perimeter of ABCD to JKLM = 28.2/47 =0.6 = 3/5.
Answer:
355
Step-by-step explanation:
185+140= 325
325+20= 355
integrate to get
![[ln|t|]^{3x}_x=ln|3x|-ln|x|=ln| \frac{3x}{x}| =ln |3|=ln(3)](https://tex.z-dn.net/?f=%5Bln%7Ct%7C%5D%5E%7B3x%7D_x%3Dln%7C3x%7C-ln%7Cx%7C%3Dln%7C%20%5Cfrac%7B3x%7D%7Bx%7D%7C%20%3Dln%20%7C3%7C%3Dln%283%29)
this only is true when x>0
when x turns negative, we get -ln(3) because of math
