Answer:
36 objects
Step-by-step explanation:
You want the value of x when t=9, so you're solving ...
9 = 0.007x^2 +0.003x
9 = 0.007(x^2 + 3/7x)
From here, we observe that an approximation is probably sufficient.
9/0.007 = x(x +3/7) . . . . . the expression on the right is nearly x^2
x ≈ 3/√.007 ≈ 35.9 ≈ 36
We can check:
.007(36)(36 3/7) = 9.18
.007(35)(35 3/7) = 8.68
To keep the computer busy for 9 seconds, it needs to sort 36 objects.
We conclude that the final amount that she has in her bank account is $375.
<h3>
How much has Tara in her bank account now?</h3>
Here we need to perform some additions and subtractions. We know that Tara starts with $350 in her account.
Then she received 3 checks for $35 each, so at this point she has:
$350 + 3*$35 = $455
Now she buys 2 video games for $41 each, so we need to subtract two times $41, we will get:
$455 - 2*$41 = $375
We conclude that the final amount that she has in her bank account is $375.
If you want to learn more about additions and subtractions:
brainly.com/question/25421984
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Answer:
See below in bold.
Step-by-step explanation:
cos 150 = - cos(180 - 150)
= - cos 30
= -√3/2.
sin 150
= sin (180 - 150
= sin 30
= 1/2.
P (A U B) = 37/50
7/20+3/5+21/100
