The value of x in the equation 4(x + 5) = 9x + 4x − 34 is 6 after solving and applying properties.
<h3>What is a linear equation?</h3>
It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
We have equation:
4(x + 5) = 9x + 4x − 34 (Given)
4x +20 = 9x + 4x − 34 (Distributive Property)
4x +20 +34 -4x = 9x + 4x − 34 + 34 -4x (Subtraction Property of Equality)
54 = 9x + 4x − 34 + 34 -4x (Addition Property of Equality)
54 = 9x (Combine Like Terms)
x = 54/9 (Division Property of Equality)
x = 6
Thus, the value of x in the equation 4(x + 5) = 9x + 4x − 34 is 6 after solving and applying properties.
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Answer:
x = -1
Step-by-step explanation:
When an exponent is negative, you have to move it to the denominator (or to the numerator if it's already on the denominator). Since the answer is
, you know that the 2 has been raised to the power of 1 (any number to the power of 1 is the same number), so you just make it negative. Hope that helps!
<span>quotient of 63 and a number h would be 63/h
14 less than that would be 63 over h - 14
</span>
Answer:
what the question
?
Step-by-step explanation:
She will have $2118 in her account after five years
<h3>How to determine the amount in five years?</h3>
The given parameters about the compound interest are
Principal Amount, P = $1,900
Interest Rate, R = 2.2%
Time, t = 5
Compound interests are different from simple interest, and they are calculated using the following compound interest formula
CI = P(1 + R)^t - P
To calculate the amount, we have:
A = P + CI
So, the equation becomes
A = P + P(1 + R)^t - P
Evaluate the like terms
A = P(1 + R)^t
Substitute the known values in the above equation
A = 1900 * (1 + 2.2%)^5
Express 2.2% as decimal
A = 1900 * (1 + 0.022)^5
Evaluate the sum
A = 1900 * (1.022)^5
Evaluate the exponent
A = 1900 * 1.11495
Evaluate the product
A = 2118
Hence, she will have $2118 in her account after five years
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