28) ANSWER: x=5
Because 5*5=25.
29) ANSWER: x=4
3x^2=48
Divide both sides by 3.
x^2=16
x=4
Because 4*4=16.
The total amount Sarah end up saving after reducing her debt and paying us our fee is $2,500.
<h3>Percentage</h3>
- Percentage reduction = 50%
Amount of reduction = 50% × $10,000
= 0.5 × 10,000
= $5,000
Cost of services = 25% of $10,000
= 25/100 × 10,000
= 0.25 × 10,000
= $2,500
Total savings = Amount of debt - Amount of reduction + Cost of services
= 10,000 - 5,000 + 2,500
= $2,500
Therefore, the total amount Sarah end up saving after reducing her debt and paying us our fee is $2,500.
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Answer:
You would multiply 90x7.8 to get the answer.
Step-by-step explanation:
9x10=90.
The solution to the given differential equation is yp=−14xcos(2x)
The characteristic equation for this differential equation is:
P(s)=s2+4
The roots of the characteristic equation are:
s=±2i
Therefore, the homogeneous solution is:
yh=c1sin(2x)+c2cos(2x)
Notice that the forcing function has the same angular frequency as the homogeneous solution. In this case, we have resonance. The particular solution will have the form:
yp=Axsin(2x)+Bxcos(2x)
If you take the second derivative of the equation above for yp , and then substitute that result, y′′p , along with equation for yp above, into the left-hand side of the original differential equation, and then simultaneously solve for the values of A and B that make the left-hand side of the differential equation equal to the forcing function on the right-hand side, sin(2x) , you will find:
A=0
B=−14
Therefore,
yp=−14xcos(2x)
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<h2>
Answer:</h2>
<u>Question 19:</u>
Option A:
40 x 19 = 760
Option B:
A: 9,500 x 8 = 76,000
76,000 ÷ 100 = 760
B: 4,750 x 8 = 38,000
38,000 ÷ 100 = 380
C: 760 x 8 = 6,080
6,080 ÷ 100 = 60.8
D: 320 x 8 = 2,560
2,560 ÷ 100 = 25.6
<em>Answer:</em> $9,500
<u>Question 20:</u>
5.5 x 30 = 165
165 ÷ 100 = 1.65
1.65 + 5.5 = 7.15
Commission: 7.15%
382,000 x 7.15 = 2,731,300
2,731,300 ÷ 100 = 27,313
<em>Answer:</em> The agent earns $27,313 in commissions.