Based on Molly's willingness to pay for the 8th trip, and the number of trips she can make over the bridge, her willingness to pay for the bridge repair would be<u> $1.00.</u>
<h3>What is Molly's willingness to pay for taxes to fix the bridge?</h3><h3 />
Molly's willingness to pay for trips is equal to the total consumer surplus she gets.
This means that her consumer surplus is $0.50.
With the bridge fixed, she can make 2 more trips than before because she can make 10 trips.
Her willingnesss to pay for the taxes will therefore be equal to her willingness to pay for the remaining trips:
= 0.50 x 2
= $1.00
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8) 
is -0.896 radians
9) length of arc is 41.91 cm
Solution:
8)
Given that,
is in quadrant 4
To find:
From given,
Thus value of is -51.34 degrees
Convert degrees to radians
Thus is -0.896 radians
9)
From given,
radius = 15.4 cm
<em><u>The length of arc when angle in radians is:</u></em>
Thus length of arc is 41.91 cm
Answer:
Part a. t = 7.29 years.
Part b. t = 27.73 years.
Part c. p = $3894.00
Step-by-step explanation:
The formula for continuous compounding is: A = p*e^(rt); where A is the amount after compounding, p is the principle, e is the mathematical constant (2.718281), r is the rate of interest, and t is the time in years.
Part a. It is given that p = $2000, r = 2.5%, and A = $2400. In this part, t is unknown. Therefore: 2400 = 2000*e^(2.5t). This implies 1.2 = e^(0.025t). Taking natural logarithm on both sides yields ln(1.2) = ln(e^(0.025t)). A logarithmic property is that the power of the logarithmic expression can be shifted on the left side of the whole expression, thus multiplying it with the expression. Therefore, ln(1.2) = 0.025t*ln(e). Since ln(e) = 1, and making t the subject gives t = ln(1.2)/0.025. This means that t = 7.29 years (rounded to the nearest 2 decimal places)!!!
Part b. It is given that p = $2000, r = 2.5%, and A = $4000. In this part, t is unknown. Therefore: 4000 = 2000*e^(2.5t). This implies 2 = e^(0.025t). Taking natural logarithm on both sides yields ln(2) = ln(e^(0.025t)). A logarithmic property is that the power of the logarithmic expression can be shifted on the left side of the whole expression, thus multiplying it with the expression. Therefore, ln(2) = 0.025t*ln(e). Since ln(e) = 1, and making t the subject gives t = ln(2)/0.025. This means that t = 27.73 years (rounded to the nearest 2 decimal places)!!!
Part c. It is given that A = $5000, r = 2.5%, and t = 10 years. In this part, p is unknown. Therefore 5000 = p*e^(0.025*10). This implies 5000 = p*e^(0.25). Making p the subject gives p = 5000/e^0.25. This means that p = $3894.00(rounded to the nearest 2 decimal places)!!!
For (A.) Get a common denominator, 40/12 - 9/12 = 31/12 or (2 and 7/12)
For (B.) Get a common denominator, 24/15 - 10/15 = 14/15 (Simplified)
For (C.) Get a common denominator, 51/30 - 25/30 = 26/30 or (13/15)
For (D.) Get a common denominator, 14/6 - 9/6 = 5/6 (Simplified)
Hope this helps!
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Answer:
33/100 red, 29/100 blue
Step-by-step explanation:
2/10=20/100
20+18=38
38/100 orange/clear marbles
100-38=62
62 red/blue marbles
62/2=31
31 blue, 31 red
"There are 2 more red marbles than blue marbles."
31-2=29
31+2=33
33/100 red, 29/100 blue.
