The regression equation to predict the number of cans sold on a day that is 90°F will be 871.
<h3>What is the linear system?</h3>
A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
A convenience store manager notices that sales of soft drinks are higher on hotter days, so he assembles the data in the table, shown above. Use technology to find the equation of the least-squares regression line.
Then the regression line will be passing through (55, 340) and (84, 780). Then we have
y - 340 = 15.17(x - 55)
Then the regression equation to predict the number of cans sold on a day that is 90°F will be
y - 340 = 15.17 (90 - 55)
y = 871
More about the linear system link is given below.
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Answer:
$18,726.11
Step-by-step explanation:
Lets use the compound interest formula provided to solve this:
<em>P = initial balance</em>
<em>r = interest rate (decimal)</em>
<em>n = number of times compounded annually</em>
<em>t = time</em>
<em />
First lets change 9% into a decimal:
9% -> 
-> 0.09
Since the interest is compounded quarterly, we will use 4 for n. Lets plug in the values now:
<u>The balance after 5 years is $18,726.11</u>
Write out 5t^2 3t 5t^2
-------- . Invert --------- and multiply ---------- by the result:
8x^2 (x^2) 8x^2
5t^2
multiply ---------- by the result: 5t^2 5*x^2 25 t^2 x^2
8x^2 ------- * --------- = ----------------
8x^2 3t 8x^2 (3t)
Reducing this, we get 25t
-------
24x
Answer: $34.78
Step-by-step explanation:
The answer is x^2-2^2
X^2-4
