The equation y= ax describes the graph of a line. If the value of a is negative,
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Answer:
They should put $6750 in the bank account and $20,250 in the stock fund.
Step-by-step explanation:
Consider the provided information that Avery and Caden have saved $27000.
Let <em>x</em> is the money deposit in the bank and <em>y</em> is the money deposit in stock fund.
Therefore,
<em>x</em> + <em>y</em> = 27000
<em>x</em> = 27000 - <em>y</em>
The bank account will pay 2.4% annual interest.
Stock fund pays 7.2% annual interest.
Therefore,
1.024 <em>x</em> + 1.072 <em>y</em> = 1.06 × 27000
Substitute the <em>x</em> = 27000 - <em>y</em> in above equation.
1.024 (27000 − <em>y</em>) + 1.072 <em>y</em> = 1.06 × 27000
27648 − 1.024 <em>y</em> + 1.072 <em>y</em> = 28620
0.048 <em>y</em> = 28620-27648
0.048 <em>y</em> = 972
<em>y</em> = 20250
Now, substitute the <em>y</em> = 20250 in <em>x</em> = 27000 - <em>y</em>.
<em>x</em> = 27000 − 20250
<em>x</em> = 6750
Hence, they should put $6750 in the bank account and $20,250 in the stock fund.
we have
<u>The system of equations</u>
-------> equation
-------> equation
Substitute equation in equation
subtract both sides
Divide by both sides
the solution is the point
therefore
the answer is
the solution to the system of equations is the point