Answer:
The answer to your question is The second graph
Step-by-step explanation:
The general equation for a trigonometric is
Acos(Bx + C) + D
A indicates the amplitude if the value is 1, the lowest point is -1 and the highest point is 1. So we discard the first graph.
B indicates the period. A normal graph has a period of 2π, but this equation has a period of 3/2. This means that the period is smaller.
C indicates that the graph is moved to the left or right but in this problem C = 0, so it does not change.
D indicates if the graph is moved up or down, in this problem, D = 0 so it does not change.
Answer:
1 and 4 are correct. 2 and 3 are not.
Step-by-step explanation:
1.
When x = 0 where does the horse start?
y = 1.5*sin(0 + 0.5)*2*pi + 1.5
y = 1.5*sin(0.5*2pi) + 1.5
y = 1.5*sin(pi) + 1.5 But sin pi = 0
y = 0 + 1.5 So the horse is starting at the midpoint of it's travel.
2.
This one is a trick question. You can reason it without exact answers. At some point the sin(x + 0.5)*2pi will equal 1. When it does 1.5 * 1 + 1.5 = 3.0 At some other point sin(x + 0.5)*2pi = -1. When that happens the whole thing goes to 0. So the total of the distance traveled is 6 not three.
3.
You can figure this one out by letting x = 0.01 When it does then the value of the function is
y = 1.5*sin [(0.01 + 0.5)*2pi] + 1.5
y = 1.5*sin(0.51*2*pi) + 1.5
y = 1.5*sin(3.204424) + 1.5
y = 1.5*(- .0623) + 1.5
y = -0.9418 + 1.5
y = 1.4058 so it is going downward The value is getting smaller.
4.
The horse starts out in the middle of the pole. What does x need to equal so that x + 0.5 = 1 ? And why 1. The answer to why 1 is that then the sine function will equal sin(2*pi)
That happens when x = 0.5 which is 1/2 a minute. If it takes 1/2 a minute to execute 1 complete cycle, then in 5 minutes the cycle will be executed 10 times. This one is correct.
Answer:
1489.2
Step-by-step explanation:
9*102-5.6*102=
102(9+5.6) =
102(9.0+5.6) =
102(14.6) =
102*14.6=
14.6*(100+2) =
(14.6*100+14.6*2) =
(1460+(14+.6) *2) =
1460+(28+1.2) =
1460+(28.0+1.2) =
1460+29.2=
1460.0+
29.2
=1489.2
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The monthly amortization is P23,511.63
<h2>Compound interest</h2>
The formula for calculating the compound interest is expressed as:
whrere:
- P is the principal = P700,000
- r is the rate = 12% = 0.12
- t is the time = 4 years
- n = 12
Substitute the parameters
Calculate the monthly payment:
Monthly payment = 
Hence the monthly amortization is P23,511.63
Learn more on compound interest here: brainly.com/question/24924853
