Answer:
19.
log9(5x^2 + 10) - log9(10) = 1
<=> log9((5x^2 + 10)/10) = log9(9)
<=> (5x^2 + 10)/10 = 9
<=> 5x^2 + 10 = 90
<=> 5x^2 = 80
<=> x^2 = 16
<=> x = +/- (4)
20.
log5(2x^2 + 4) + log5(3) = 2
<=> log5((2x^2 + 4) x 3) = log3(9)
<=> 6x^2 + 12 = 9
<=> 6x^2 = -3
=> No real x satisfies. ( x^2 always larger or equal to 0)
21.
log6(8) + log6(7 - 2x^2) = 2
<=> log6(8 x (7 - 2x^2)) = log6(36)
<=> 56 - 16x^2 = 36
<=> 16x^2 = 20
<=> x^2 = 5/4
<=> x = +/- sqrt(5/4)
Hope this helps!
:)
This will sound stupid search up identifying corresponding angles calculator it should help i use one all the time.
Given that Megan's tax rates were as follows:
<span>No tax one the first £11000 of earnings
</span><span>Earnings in excess of £11000 and up to £43000 taxed at a rate of 20%
</span><span>Earning in excess of 43000 and up to £150000 taxed at a rate of 40%
</span>Earnings over £150000 taxed at a rate of 45%
If Megan earned £158900 before tax last year, the amount of tax she paid in total is given as follows:
First <span>£11000 = </span><span>£0 tax
</span>Balance after first <span>£11000 = </span><span>£158900 - </span><span>£11000 = </span><span>£147900
</span>
Next (<span>£43000 - </span><span>£11000 = </span><span>£32000) = 20% of </span><span>£32000 = 0.2 x </span><span>£32000 = </span>£6400 tax
Balance after next <span>£32000 = </span><span>£147900 - </span><span>£32000 = </span><span><span>£115000</span> </span>
Next (<span>£150000 - </span><span>£43000 = </span><span>£107000) = 40% of </span><span>£107000 = 0.4 x </span><span>£107000 = </span><span>£42800 tax</span>
Balance after next <span>£107000 = </span><span>£115000 - </span><span>£107000 = </span><span>£8000</span>
Remaiming <span>£8000 = 45% of </span><span>£8000 = 0.45 x </span><span>£8000 = </span><span>£3600 tax</span>
Total tax = <span>£6400 + </span><span>£42800 + </span><span>£3600 = </span><span>£52800
Therefore, she paid a total of </span><span>£52800 in tax last year.</span>
Answer:
rationalizing
Step-by-step explanation:
