The answer is 164. 5x4=20 and so on
Answer:
See explanation
Step-by-step explanation:
1. To rewrite the expression
use exponents property
So,
2. Why ![10^{\frac{1}{3}}=\sqrt[3]{10}?](https://tex.z-dn.net/?f=10%5E%7B%5Cfrac%7B1%7D%7B3%7D%7D%3D%5Csqrt%5B3%5D%7B10%7D%3F)
Raise both sides to 10 power:
![(10^{\frac{1}{3}})^3=10^{\frac{1}{3}\cdot 3}=10^1=10\\ \\(\sqrt[3]{10})^3=10](https://tex.z-dn.net/?f=%2810%5E%7B%5Cfrac%7B1%7D%7B3%7D%7D%29%5E3%3D10%5E%7B%5Cfrac%7B1%7D%7B3%7D%5Ccdot%203%7D%3D10%5E1%3D10%5C%5C%20%5C%5C%28%5Csqrt%5B3%5D%7B10%7D%29%5E3%3D10)
So,
![(10^{\frac{1}{3}})^3=(\sqrt[3]{10} )^3](https://tex.z-dn.net/?f=%2810%5E%7B%5Cfrac%7B1%7D%7B3%7D%7D%29%5E3%3D%28%5Csqrt%5B3%5D%7B10%7D%20%29%5E3)
3. Simplify 
Use the Quotient of Powers Property:
Then
4. Solve 
First, note that 
then
Number 
is irrational number, number 10 is rational number. The sum of irrational and rational numbers is irrational number.
5. The same as option 4.
The sum of two numbers
x + y = 21
x = smaller number
y = larger number
Larger Number = y = (2x -6)
Substitute (2x - 6) for y
x + y = 21
x + (2x - 6) = 21
3x - 6 = 21
3x = 21 + 6
3x = 27
3x / 3 = 27 / 3
x = 9
Smaller number = x = 9
Find the larger number by inserting 9 into (2x - 6)
(2x - 6)
(2(9) - 6)
18 - 6
12
So
x = 9
y =12
Check our answer by inserting x = 9 and y = 12 into x + y = 21
x + y =21
9 + 12 = 21
21 = 21
So since we have 21 = 21 we know our answer is correct.
Answer:
Below.
Step-by-step explanation:
2x+4 = (x²)²÷2
2x + 4 = x^4/2
x^4 = 4x + 8
x^4 - 4x - 8 = 0
We can try trial an error to solve this
Looks like x = 2 fits it:
2^4 - 4(2) - 8
= 16 -8 -8 = 0
so x = 2 is one solution.
I can't find any other solution among other integers.
To find the other solutions you can draw a graph manually or by using software.
There will be either 1 or 3 more real solutions.
I used software to draw the graph and found one other solution:
x = -1.296
Answer:
The account has $18,795.02.
Step-by-step explanation:
The account has $18,795.02.
3 years * $535 = $1,605
$1,605 * .0034 = $5.481
$5.481 * 36 (months) = $197.146
$18,795.02 = $1,605 + $197.146
