3 times the 6th power of 10
Lets step by step convert the word form to an expression
You have to multiply 3 by the 6th power of 10, so
3 * 6th power of 10
In the 6th power of 10, 10 is the base and it is to the power of 6, so it can be reworded to 10 to the 6th power
or
We have to multiply it by 3
So the written expression is
3 *
By substitution, the solution of the system of equations, 4x + 2y = 7 and y = 5x, is (1/2 , 5/2).
A system of linear equations is a set of two or more equations which includes common variables. To solve system of equations, we must find the value of the unknown variables used in the equations that must satisfy both equations.
There are three methods that can be used to solve system of linear equations.
1. Elimination
2. Substitution
3. Graphing
Using substitution method, given two linear equations in x and y,
4x + 2y = 7 (equation 1)
y = 5x (equation 2)
Since the second equation is already expressed in y in terms of x, substitute the second equation to the first equation.
4x + 2y = 7 (equation 1)
4x + 2(5x) = 7
4x + 10x = 7
Combining all terms containing the variable x on one side and the constants on the other side of the equality, and solving for x.
4x + 10x = 7
14x = 7
x = 1/2
Substitute the value of x in the second equation and solve for y.
y = 5x
y = 5(1/2)
y = 5/2
Hence, the solution of the given system of equations is (1/2 , 5/2).
To learn more about solving systems of equations: brainly.com/question/25869125
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Answer:
Investment with interest rate 0.1872 is better
Step-by-step explanation:
Given as :
George investment principal = $20,000
The Rate of interest (R1) = 18 % =
%
I.e R1 = 18.67 %
Again The The Rate of interest (R2) = 0.1872 = 18.72 %
Let the time period for both rate of interest = 1 years
Now from compound interest method
Amount = Principal ×
Or, A 1 = $ 20 , 000 ×
Or, A 1 = $ 20 ,000 × 1.1867
∴ A 1 = $ 23,734
And A 2 = $ 20 , 000 ×
Or, A 2 = $ 20 ,000 × 1.1872
∴ A 2 = $ 23,744
Hence From the calculation of both amount it is clear that , investment with interest rate 0.1872 is better . Answer