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Molly drew a blue line that was 19 1/12 inches long. Then she drew a green line that was
1 answer:
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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.
Answer:
8 (7.94)
Step-by-step explanation:
You can think of it as a geometry problem.
What is formed here is a triangle, which sides ate: the line, the line's shadow, and the height from the ground to the kite (here I attach a drawing).
What you need to find is the height. We will call it H.
As the triangle formed is a right one, we can use Pitágoras' theorem. The height H squared plus the squared of the shadow is equal to the squared of the line (the hypotenuse). This is:
H^2 + 9^2 = 12^2
H^2 + 81= 144
H^2 = 63
Applying squared root in both sides
H = √63
H = 7,94
So, the height is approximately 8.
