Answer: 0.27£
Explanation:
9 apples + 9 bananas = 2.43
9(apple + banana) = 2.43
Apple + banana = 2.43/9
Apple + banana = 0.27£
Therefore, the cost of an apple AND a banana is 0.27£
Solve for x by plugging in y, then plug x back in
Since we know what he earns hourly, and his sales, we can figure out his full gross pay for the week.
As so:
We can set up an equation like this:
<em>h</em> = hours
<em>s</em> = sales
9.60h + 5%s
Now, we substitute.
9.60(35) + 5%(230)
Next, solve.
336.00 + 11.50
$347.50
$347.50 was Glen's gross pay for the week.
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We're looking for the two values being subtracted here. One of these values is easy to find:
<span>g(1) = ∫f(t)dt = 0</span><span>
since taking the integral over an interval of length 0 is 0.
The other value we find by taking a Left Riemann Sum, which means that we divide the interval [1,15] into the intervals listed above and find the area of rectangles over those regions:
</span><span>Each integral breaks down like so:
(3-1)*f(1)=4
(6-3)*f(3)=9
(10-6)*f(6)=16
(15-10)*f(10)=10.
So, the sum of all these integrals is 39, which means g(15)=39.
Then, g(15)-g(1)=39-0=39.
</span>
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