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The solution to the given algebraic equation 1000(7x - 10) = 50(292 + 100x) is; x = 12.3
<h3>How to simplify algebraic equations?</h3>
We want to simplify the algebraic equation;
1000(7x - 10) = 50(292 + 100x)
The first step is to use distributive property of equality to expand the bracket to get;
7000x - 10000 = 14600 + 5000x
7000x - 5000x = 14600 + 10000
2000x = 24600
Use division property of equality to divide both sides by 2000 to get;
x = 24600/2000
x = 12.3
Thus, we can conclude that the solution to the given algebraic equation 1000(7x - 10) = 50(292 + 100x) is; x = 12.3
Read more about algebraic equations at; brainly.com/question/723406
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It him takes 29 hours to climb out of the Drywall.
A = P(1+i)ⁿ ==> compound interest where P= initial Capital, I =interest in% and n the number of years. A is the total amount collected over n years
A= 500(1.0325)¹² ==> 500(1+0.0325)¹² ==> 500(1+3.25%)¹²
The mistake is:
Either she has a yearly interest of 3.25% & she wrote 12 instead of 3 (years)
OR
She got a quarterly interest of 3.25% and in this case she should have divided 3.25& by 12 (4 quarter a year ==> 12 quarter for 3 years) by keeping as exponent the number 12 (right)
1)Now the Amount of A (as she wrote it) =500(1.0325)¹² = 734
2) If she wrote 12 instead of 3, and after correction A=500(1.0325)³ =550
3) But if she had taken the quarterly interest for a period of 3 years (12 Qrtr)
then A =500[1+(3.25%)/4]¹² = 551
<h2>D. This is an experiment with blocking </h2><h2 />
For your question: "A teacher wants to investigate whether listening to music while taking a math test increases scores. He instructs half
of his 36 students to listen to music while taking a test and the other half to not listen to music during the test. To
determine who listens and who does not, the teacher identifies the two students who scored highest on the last test
and randomly instructs one to listen to music and one to not. The teacher does the same for the next two highest-
scoring students and continues in this manner until each student has their instructions. Which of the following best
describes this plan?"
The answer is D
