The answer would be x=3, y=6, z=-3 or 3,6,-3
The area of the pentagon is 140
Answer:
The smaller number is 11
Step-by-step explanation:
The question is
One number is 3 less than a second number. Twice the second number is 16 less than 4 times the first. Find the smaller of two numbers
Let
x and y the numbers
x=y-3 ----> equation A
2y=4x-16 ----> equation B
Substitute equation A in equation B and solve for y
2y=4(y-3)-16
2y=4y-12-16
4y-2y=12+16
2y=28
y=14
x=14-3=11
Answer:7 inches
Step-by-step explanation:
Volume of cube=343
volume of cube=length x length x length
length =L
Volume of cube=LxLxL
343=L^3
L^3=343
Taking the cube root of both sides we get
L=cube root of 343
L=7
Length =7 inches
Answer:
$30,000
Step-by-step explanation:
The capital value is given by
where R(t) is annual rate
r - annual rate of interest
capital value 
= lim at b tend to infinity
=lim at b tend to infinity ![\left [ \frac{1200}{-0.04} e^{-0.04 t} \right ]_0^b](https://tex.z-dn.net/?f=%20%5Cleft%20%5B%20%5Cfrac%7B1200%7D%7B-0.04%7D%20e%5E%7B-0.04%20t%7D%20%5Cright%20%5D_0%5Eb)
-30,000 { lim at b tend to inifinity![(e^{-0.04 b) = e^0]](https://tex.z-dn.net/?f=%20%28e%5E%7B-0.04%20b%29%20%3D%20e%5E0%5D)
As
