Answer:
Step-by-step explanation:
You have the right numbers, but the wrong accounts.
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Let x represent the amount invested at 8% (the highest rate). Then the total interest is ...
.08x +.03(3000 -x) = .04(3000)
.05x = .01(3000) . . . . subtract .03(3000)
x = 3000/5 = 600
Matthew invested $600 at 8%, $2400 at 3%.
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<em>Comment on checking your answer</em>
You may notice that the overall interest rate is 4%, closer to 3% than to 8%. That means more of the money must be invested at 3% than at 8%.
Answer:
The measures of the angles are
, 
and 
Step-by-step explanation:
Let
x-----> one angle
y----> the smallest angle
z----> the third angle
we know that
-----> equation A
----> equation B
-----> equation C
substitute equation B and equation C in equation A and solve for y
<em>Find the measure of x</em>
<em>Find the measure of z</em>
therefore
The measures of the angles are , and
Total number of team in starting = 128 teams.
In each round half of the teams are eliminated.
Therefore, number of teams remain after first round = 128/2 = 64.
The number of teams remain after second round = 64/2 = 32.
The number of teams remain after third round = 32/2 = 16.
The number of teams remain after fourth round = 16/2 = 8.
The number of teams remain after fifth round = 8/2 = 4.
<h3>Therefore, after 5 rounds there remain only 4 teams.</h3>
