Standard form: y = x^2 + 10x + 21
Axis of symmetry: x = -5
X intercepts: (-3,0) (-7,0)
Y intercepts: (0,21)
Vertex: (-5,-4)
Answer:
is this on edulastic? if you have the option check answer put 12 and let me know if it was right please.
Answer:
0.64π rad
Step-by-step explanation:
The formula for calculating the length of an arc is expressed as;
length of an arc = theta/360 * 2πr
r is the radius = 13 feet
arc length = 26feet
Substitute
26 = theta/360 * 2(3.14)(13)
26 = 81.64 theta/360
81.64 theta = 26 * 360
81.64 theta = 9360
theta = 9360/81.64
theta = 114.64
Hence the radian measure is 114.64/180 π = 0.64π rad
Answer: a) 146 units used b) the cost of the number of units used is 3136 p.
Step-by-step explanation:
Since we have given that
First 100 units = 24 p per unit
Remaining units = 16 p per unit
New reading = 7143 units
Old reading = 6997 units
Difference between the readings would be
So, there are 146 units used.
(B) Calculate the cost of the number of units used
There are 146 units
For the first 100 units = 24 p per unit
For the remaining i.e. 146-1400 = 46 units , cost = 16 p per unit
Total cost of the number of units used is given by
Hence, a) 146 units used b) the cost of the number of units used is 3136 p.
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)!!!
