Opal wanted to make some necklaces and sell them at a craft store. She made 37 necklaces and each necklace had somewhere between
1 answer:
You might be interested in
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:
i) D: All real numbers
ii) R:
iii) Y-int: b=2
Step-by-step explanation:
i) The given absolute value function is
The domain is all values of x that makes the function defined.
The absolute value function is defined for all values of x.
The domain is all real numbers.
ii) The given function is
The function has vertex .
The function is reflected in the x-axis.
This means the vertex is the maximum point on the graph of the function.
The maximum y-value is 5.
The range is therefore or
iii) To find the y-intercept, put into the function.
The y-intercept is (0,2) or
See attachment for graph.
