2x+2xy=3 you can’t solve it from this point on I don’t think
There are many ways to solve this question. The basic idea is to assume that Charlotte makes a monthly payment of x and equate the amount she pays to the amount she owes, after adjusting both amounts with interest to be at the same point of time. In the following, we equate the amounts at the end of the term.
Initially, Charlotte owes $7680. She finishes her payments after a total of 6 + 36 = 42 months. Using a simple compounding formula, the amount she owes is worth P at the end of 42 months, where P is:
P = 7680 * (1 + .2045/12)^42 = 15616.67379
Now, the first installment she pays (at the end of six months) is paid 35 months in advance of the end, so it is worth x * (1 + .2375/12)^35 at the end of her loan period.
Similarly, the second installment is worth x * (1 + .2375/12)^34 at the end of the loan period.
Continuing, this way, the last installment is worth exactly x at the end of the loan period.
So, the total amount she paid equals:
x [(1 + .2375/12)^35 + (1 + .2375/12)^34 + ... + (1 + .2375/12)^0]
To calculate this, assume that 1+.2045/12 = a. Then the amount Charlotte pays is:
x (a^35 + a^34 + ... + a^0) = x (a^36 - 1)/(a - 1)
Clearly, this value must equal P, so we have:
x (a^36 - 1)/(a - 1) = P = 15616.67379
Substituting, a = 1 + .2045/12 and solving, we get
x = 317.82
Answer: a) 30, b) 0.2138, c) 0.0820
Step-by-step explanation:
Since we have given that
X be the number of calls in 1 hour = 60 minutes
Rate of one call every two minutes.
(a) What is the expected number of 911 calls in one hour?
(b) What is the probability of three 911 calls in five minutes? If required, round your answer to four decimal places.
Number of calls = 3
So, P(X=3) is given by
(c) What is the probability of no 911 calls during a five-minute period? If required, round your answer to four decimal places.
Hence, a) 30, b) 0.2138, c) 0.0820
Answer:
0.1 rad/s
Step-by-step explanation:
Since the distance from or to the flagpole is not given, I will assume. And my assumption is 50 ft
Now, the elevation angle A = 45 degrees, converting to radians, we have π/4 radians
Remember that the tan of an angle is OPP/HYP, and so
tan A = h/25, on differentiating, we have
d tan A/dA = sec^2 A = (1/25) dh/dA
Next, we have
25 sec^2 A * dA/dt= dh/dt = 5
Making dA/dt the subject of formula, we have
dA/dt = (1/5) cos^2 A
but cos^2 A from trigonometry = 1/2, this means that
dA/dt = .1 radians/second
If you want to convert to degrees, your have
.1 Rad/s( 180 deg/rad) = 18 degrees/second
Answer:
s = ½sin(2x) - cos(x)
Step-by-step explanation:
s = sin(2t)/2 - cos(t) + c
1 = sin(2pi)/2 - cos(pi) + c
1 = 0 - (-1) + c
1 = 1 + c
c = 0
s = ½sin(2x) - cos(x)
