A photograph is 6 inches by 9 inches. A frame shop charges $0.25 per inch for a silver frame. How much would it cost to buy a si
2 answers:
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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:
the graph corresponds to function "D"
Step-by-step explanation:
Since the graph shown corresponds to an exponential "decay" (the function decreases as we move from left to right), the base of the exponent has to be a number smaller than 1 (one). So we examine the only two options that give such (options C and D which have fractions as the base - 1/3 and 1/5 respectively)
From there, we analyze which of the two functions satisfies the crossing of the y-axis at (0,3) which is clearly shown in the graph:
We study both:
function C at x = 0 gives:
while function D at x = 0 gives:
Therefore, the graph corresponds to function "D"