Give all relationships between angle 1 and angle 2 select all that apply
1 answer:
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The correct representation of the inequality is -6x + 15 < 10 - 5x and an open circle is at 5 and a bold line starts at 5 and is pointing to the right.
<h3>What is inequality?</h3>In mathematical concept, an inequality is a representation of an order linking two numbers or algebraic expressions together. These orders are called inequality signs such as greater than (>), less than (<), greater than or equal to(≥), or less than or equal to(≤). Either questions or theorems can be used to express inequality problems, and both can be solved using methods similar to those used to solve equations.
From the given information, we are given the inequality:
= -3(2x - 5) < 5(2 -x)
Open brackets, we get:
= -6x + 15 < 10 - 5x
Subtract 15 from both sides, we have:
= -6x + 15 - 15 < 10 - 5x - 15
= -6x < -5x - 5
Add 5 to both sides
= -6x + 5 < -5x - 5 + 5
= -6x + 5 < -5x
= -x < - 5
= x < 5
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Answer:
Approximately 6.642 years
Step-by-step explanation:
The given parameters are;
The amount in the deposit account = $6,000
The time in which the money will have trebled at 11% compound interest, is given as follows;
Where;
A = The amount at the end of the period
P = The amount in the deposit = $6,000.00
r = The rate of interest = 11%
t = The periods that elapsed
n = The number of times the interest is applied per period of time, t = 1
For the money to have trebled, the amount generated at the end of the period will be 200% the amount deposited
Therefore, we have;
Amount, A, at the end of period = 200/100× $6,000 = $12,000
Substituting the values into the formula for the formula, we have;
Which gives;
t = ㏒(2)/(㏒(1.11)) ≈ 6.642 years which is approximately 6 years, 7 months and 24 days