Olivia invested $2,400 in an account paying an interest rate of 4.6% compounded continuously. Assuming no deposits or withdrawal
2 answers:
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Answer:
x = 3 and x =
Step-by-step explanation:
(a)
2(5x - 3) = 24 ( divide both sides by 2 )
5x - 3 = 12 ( add 3 to both sides )
5x = 15 ( divide both sides by 5 )
x = 3
(b)
5(2x + 1) = 50 ( divide both sides by 5 )
2x + 1 = 10 ( subtract 1 from both sides )
2x = 9 ( divide both sides by 2 )
x =
Answer:
14 pounds
Step-by-step explanation:
The given equations can be solved for y by substituting for x. The first equation is convenient for writing x in terms of y.
<h3>Solution</h3>x = 20 -y . . . . . . . subtract y from the first equation
7(20 -y) +5.5y = 119 . . . . . substitute for x in the second equation
140 -1.5y = 119 . . . . . . . . simplify
21 = 1.5y . . . . . . . . . . . add 1.5y -119 to both sides
14 = y . . . . . . . . . . . .divide by 1.5
14 pounds of soy nuts should be used in the mixture.
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<em>Additional comment</em>
There are many ways to solve a system of two linear equations. The attachments shows a matrix solution using a suitable calculator. It tells us that x=6 and y=14, as we found above.
