Answer:
8
Step-by-step explanation:
Given:
Annuity at time (n + 1) = 13.776
(1 + i)ⁿ = 2.476
Now,
here, d = 
thus,
or
d = 0.1071
therefore,
d = 
or
0.1071 =
or
0.1071 + 0.1071i = i
or
i = 0.1199
now,
(1 + i)ⁿ = 2.476
or
(1 + 0.1199)ⁿ = 2.476
1.1199ⁿ = 2.476
taking log both sides
n × log(1.1199) = log(2.476)
or
n = 8.006 ≈ 8
hence,
the answer is 8
Answer:
B and D (
Step-by-step explanation:
1*2/3*2=2/6
1*3/3*3=3/9
Answer:
- Decay rate, r = 0.014
- Initial Amount =120,000
- P(10)=104,220
Step-by-step explanation:
The exponential function for growth/decay is given as:
In this problem:
The city's initial population is 120,000 and it decreases by 1.4% per year.
- Since the population decreases, it is a Decay Problem.
- Decay rate, r=1.4% =0.014
- Initial Amount =120,000
Therefore, the function is:
When t=10 years
Answer:
a) 5.13beats/min
b) 2.82 beats/min
Step-by-step explanation:
Given the pulse rate of a person modelled by the equation y = 600x^-1/3 for 30≤x≤75
If the height is 39inches, the instantaneous rate of change of pulse rate for the heights will be expressed as;
y = 600(39)^-1/3
y = {600(1/39)}/3
y = 600/39×3
y = 600/117
y ≈ 5.13beats/min
The instantaneous rate for a 39 inches tall person is 5.13 beats per min
b) For a 71inches tall person, the beat rate will be expressed as;
y = 600(71)^-1/3
y = {600(1/71)}/3
y = 600/71×3
y = 600/213
y ≈ 2.82 beats per minute
The instantaneous rate for a 71 inches tall person is 2.82 beats per min
Step-by-step explanation:
first of all, g(x) has only negative functional result values (y) except for 0.
and a square is always positive.
so, the only possible right answers are the ones that include a minus ("-") sign.
the graph shows us that g(x) goes through the points (1, -3) and (-1, -3).
so, which equation turns an x = 1 into an y = -3 ?
therefore, the right answer must be D.
g(x) = -3x²
it works for both points :
-3 = -3×1² = -3 correct
-3 = -3×(-1)² = -3×1 = -3 correct
