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oee
9 days ago
15

Neal deposited a $489.50 paycheck, an x dollar stock dividend check, a y dollar rebate check, and $85 cash into his checking acc

ount. His original account balance was w dollars. Assume each check clears. Write an expression for the balance in his account after the deposits ?
Please help me, show the work too
Mathematics
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Grant is a member of a book club. He pays a $10 yearly membership fee and can purchase books through the club for $2.75 each. Hi
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A) The independent variable in this scenario is the quantity of books purchased. C) The overall cost for the year hinges on the number of books obtained. E) The output of this function is the total yearly cost.
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1 month ago
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The height of an arrow shot upward can be given by the formula s = v0t - 16t2, where v0 is the initial velocity and t is time. H
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The arrow reaches a height of 48 feet at about 0.55 seconds and again at approximately 5.45 seconds.

Explanation

The formula provided is: s=V_{0}t-16t^2

Given the initial velocity as 96 ft/s, we have V_{0}=96

To determine when the arrow attains a height of 48 feet, substitute s= 48 into the formula:

48=96t-16t^2\\ \\ 16t^2-96t+48=0\\ \\ 16(t^2-6t+3)=0\\ \\ t^2-6t+3=0\\ \\ t^2-6t =-3\\ \\ t^2-6t+9=-3+9\\ \\ (t-3)^2 = 6\\ \\ t-3= \pm \sqrt{6} \\ \\ t=3\pm \sqrt{6}\\ \\ t = 5.45 , 0.55

Therefore, the arrow is at 48 feet height at roughly 0.55 seconds and again at 5.45 seconds.

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3 months ago
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I hope this information is useful to you.
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2 months ago
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